CBSE Class 10 Science: 2025 board paper, set 31/3/1
The question paper set in the CBSE Class 10 board exam of 2025, as printed: 39 questions for 80 marks, in sections, with each OR choice shown as an alternative. Try each question first, then open our solution.
Every question here has our step-by-step solution, split into the steps that earn marks. Each one was checked by an independent re-solve from the question paper.
Source: official question paper from cbse.gov.in: https://www.cbse.gov.in/cbsenew/question-paper/2025/X/086_Science.zip (a zip; this paper is the file 31-3-1_Science.pdf). Questions are transcribed from that PDF; figures are described in words, so check the official paper for them.
How the paper is set
| Section | Questions | What it has |
|---|---|---|
| A | 1-20 | MCQ 1-16, assertion-reason 17-20 |
| B | 21-26 | Very short answer (30-50 words); internal choice in 21 and 25 |
| C | 27-33 | Short answer (50-80 words); internal choice in 28 |
| D | 34-36 | Long answer (80-120 words); internal choice in 34, 35 and 36 |
| E | 37-39 | Source-based/case-based with sub-parts; internal choice within sub-parts of 37, 38 and 39 |
Instructions in brief: All questions are compulsory; no overall choice, but internal choice (only one alternative to be attempted) is provided in some questions.
Section A
MCQ 1-16, assertion-reason 17-20
Q1 · 1 mark · MCQChemical Reactions and Equations
Consider the following chemical equation:
To balance this chemical equation, the values of 'p', 'q', 'r' and 's' must be respectively:
- (A)3, 2, 2, 1
- (B)2, 3, 3, 1
- (C)2, 3, 1, 3
- (D)3, 1, 2, 2
Try it first, then show our solutionSolution
- 1 mark
Balance Al and O: . Check: 2 Al, 3 O and 6 H on each side.
Answer: p, q, r, s = 2, 3, 1, 3; option (C)
Where the marks are
- Selects 2, 3, 1, 3 (1 mark)
Q2 · 1 mark · MCQAcids, Bases and Salts
Which of the given option represents a family of salts?
- (A)
- (B)
- (C)
- (D)
Try it first, then show our solutionSolution
- 1 mark
Salts with the same acid radical form a family. , and all contain the sulphate ion, so they form the sulphate family.
Answer: Option (B)
Where the marks are
- Identifies the sulphate family (1 mark)
Q3 · 1 mark · MCQMetals and Non-metals
The most common method of extraction of metals from their oxide ores is:
- (A)Reduction with carbon
- (B)Reduction with hydrogen
- (C)Reduction with aluminium
- (D)Electrolytic reduction
Try it first, then show our solutionSolution
- 1 mark
Metals of moderate reactivity, such as Zn, Fe and Pb, are obtained from their oxides by heating them with carbon (coke). This is the most widely used and cheapest method, e.g. .
Answer: Option (A)
Where the marks are
- Reduction with carbon (1 mark)
Q4 · 1 mark · MCQCarbon and its Compounds
Given below are the structures of some hydrocarbons. Select the two structures which are related to each other from the given options:
- (A)(i) and (iv)
- (B)(ii) and (iv)
- (C)(ii) and (iii)
- (D)(i) and (iii)
Figure in the paper: Four structural (displayed) formulas labelled (i) to (iv): (i) H–C(H,H)–C(H,H)–C(H)=C–H type chain, i.e. a three-carbon chain with a C=C double bond at the end, all other bonds hydrogen; (ii) a fully saturated four-carbon chain H–C–C–C–C–H with all carbons bonded to hydrogens; (iii) a branched structure with a three-carbon main chain in which the middle carbon carries an extra CH3 group, all single bonds; (iv) Cl–C–C–C=C–H, a four-carbon chain with a chlorine atom on the first carbon and a C=C double bond at the end. See it in the official paper.
Try it first, then show our solutionSolution
- 1 mark
Structure (ii) is n-butane and structure (iii) is isobutane (2-methylpropane). Both have the formula but different structures, so they are structural isomers.
Answer: Option (C), (ii) and (iii)
Where the marks are
- Identifies (ii) and (iii) as isomers (1 mark)
Q5 · 1 mark · MCQCarbon and its Compounds
Choose the incorrect statement about the common reaction used in hydrogenation of vegetable oils.
- (A)It is an addition reaction.
- (B)It takes place in the presence of nickel or palladium catalyst.
- (C)The product contains only single bonds between carbon atoms.
- (D)It is an addition reaction which occurs in the presence of an acid catalyst.
Try it first, then show our solutionSolution
- 1 mark
Hydrogenation is the addition of across C=C bonds, which gives a saturated product. It needs a nickel or palladium catalyst, not an acid catalyst, so statement (D) is incorrect.
Answer: Option (D)
Where the marks are
- Picks (D) because the catalyst is Ni/Pd, not acid (1 mark)
Q6 · 1 mark · MCQHow do Organisms Reproduce?
Match Column-I with Column-II and select the correct option from the choices provided.
Column-I Column-II a. Site of fertilisation of egg with the sperm (i) Vagina b. Site of implantation of embryo (ii) Uterus c. Site of entry of sperm into the female reproductive tract (iii) Oviduct d. Site through which the waste materials generated by the developing embryo are removed (iv) Placenta (v) Cervix - (A)a-(ii), b-(i), c-(v), d-(iv)
- (B)a-(iii), b-(i), c-(v), d-(iv)
- (C)a-(iv), b-(ii), c-(iii), d-(i)
- (D)a-(iii), b-(ii), c-(i), d-(iv)
Try it first, then show our solutionSolution
- 1 mark
The matches are:
- Fertilisation takes place in the oviduct: a-(iii).
- Implantation takes place in the uterus: b-(ii).
- Sperms enter through the vagina: c-(i).
- Wastes of the embryo are removed through the placenta: d-(iv).
Answer: Option (D)
Where the marks are
- Correct matching a-(iii), b-(ii), c-(i), d-(iv) (1 mark)
Q7 · 1 mark · MCQControl and Coordination
The part of the brain which maintains the posture and balance of the body is:
- (A)Pons
- (B)Cerebrum
- (C)Cerebellum
- (D)Medulla
Try it first, then show our solutionSolution
- 1 mark
The cerebellum, part of the hindbrain, controls posture and the balance of the body.
Answer: Option (C), Cerebellum
Where the marks are
- Cerebellum (1 mark)
Q8 · 1 mark · MCQControl and Coordination
The plant hormone present in greater concentration in the areas of rapidly dividing cells is:
- (A)Auxin
- (B)Cytokinins
- (C)Gibberellins
- (D)Abscisic acid
Try it first, then show our solutionSolution
- 1 mark
Cytokinins promote cell division, so they are found in higher concentration where cells divide rapidly, such as in fruits and seeds. Option (B).
Answer: (B) Cytokinins
Where the marks are
- Identifies cytokinins as the hormone of rapidly dividing regions (1 mark)
Q9 · 1 mark · MCQHow do Organisms Reproduce?
Select a pair of bisexual flowers from the following:
- (A)Papaya and mustard
- (B)Hibiscus and mustard
- (C)Hibiscus and papaya
- (D)Hibiscus and watermelon
Try it first, then show our solutionSolution
- 1 mark
Hibiscus and mustard flowers have both stamens and pistil, so they are bisexual. Papaya and watermelon have unisexual flowers.
Answer: Option (B)
Where the marks are
- Hibiscus and mustard (1 mark)
Q10 · 1 mark · MCQLife Processes
The gastric glands present in the wall of the stomach release:
- (A)Mucus and Trypsin
- (B)Pepsin and Trypsin
- (C)Mucus and Pepsin
- (D)Pepsin and Salivary amylase
Try it first, then show our solutionSolution
- 1 mark
Gastric glands secrete HCl, pepsin (which digests proteins) and mucus (which protects the stomach lining). Trypsin comes from the pancreas and salivary amylase from the salivary glands. Option (C).
Answer: (C) Mucus and Pepsin
Where the marks are
- Selects mucus and pepsin (1 mark)
Q11 · 1 mark · MCQLight – Reflection and Refraction
Absolute refractive index of water and glass is and respectively. If the speed of light in glass is m/s, the speed of light in water is:
- (A) m/s
- (B) m/s
- (C) m/s
- (D) m/s
Try it first, then show our solutionSolution
- ½ mark
Since , we have .
- ½ mark
m/s. Option (A) shows but leaves out the factor .
Answer: m/s (none of the printed options is exactly correct; (A) is intended)
Where the marks are
- Full credit of 1 mark to all candidates as per the scheme (1 mark)
Q12 · 1 mark · MCQThe Human Eye and the Colourful World
When a beam of white light passes through a region of very fine dust particles, the colour of light that scatters the most in that region is:
- (A)red
- (B)orange
- (C)blue
- (D)yellow
Try it first, then show our solutionSolution
- 1 mark
Very fine particles scatter light of shorter wavelength more strongly. Blue has the shortest wavelength among the options, so blue light is scattered the most. Option (C).
Answer: (C) blue
Where the marks are
- States that blue (shortest wavelength) is scattered most (1 mark)
Q13 · 1 mark · MCQElectricity
A wire of length '' is gradually stretched so that its length increases to . If its original resistance is R, then its new resistance will be:
- (A)3R
- (B)6R
- (C)9R
- (D)27R
Try it first, then show our solutionSolution
- ½ mark
Stretching does not change the volume, so when the length becomes the area becomes .
- ½ mark
Answer: 9R, option (C)
Where the marks are
- Uses constant volume and to get 9R (1 mark)
Q14 · 1 mark · MCQMagnetic Effects of Electric Current
Which one of the following statements is not true about a bar magnet?
- (A)It sets itself in north-south direction when suspended freely.
- (B)It has attractive power for iron filings.
- (C)It produces magnetic field lines.
- (D)The direction of magnetic field lines inside a bar magnet is from its north pole to its south pole.
Try it first, then show our solutionSolution
- 1 mark
Inside a bar magnet the field lines run from the south pole to the north pole. Statement (D) says the opposite, so it is not true.
Answer: Option (D)
Where the marks are
- Identifies (D) (1 mark)
Q15 · 1 mark · MCQMagnetic Effects of Electric Current
The strength of magnetic field produced inside a long straight current carrying solenoid does not depend upon:
- (A)number of turns in the solenoid
- (B)direction of current flowing through the solenoid
- (C)material of the core filled inside the solenoid
- (D)radius of the coil of the solenoid
Try it first, then show our solutionSolution
- 1 mark
The field inside a long solenoid depends on the number of turns, the current and the core material. It does not depend on the radius of the coil. A change in the direction of current reverses the field but does not change its strength.
Answer: Option (D)
Where the marks are
- Radius of the coil (1 mark)
Q16 · 1 mark · MCQCompetency-basedOur Environment
Other than the abiotic components, which of the given biotic components are not required to make an aquarium with small herbivorous fishes a self-sustaining system?
(i) Aquatic plants and aquatic animals
(ii) Terrestrial plants and terrestrial animals
(iii) Decomposers as bacteria and fungi
(iv) Consumers as clown fishes and sea urchins- (A)(i) and (iv)
- (B)(ii) and (iii)
- (C)(i) and (iii)
- (D)(ii) and (iv)
Try it first, then show our solutionSolution
- ½ mark
A self-sustaining aquarium needs aquatic plants and animals and decomposers.
- ½ mark
Terrestrial organisms are not needed. Clown fishes and sea urchins are marine organisms and are not required for small herbivorous fishes. Hence (ii) and (iv) are not required.
Answer: Option (D), (ii) and (iv)
Where the marks are
- Selects (ii) and (iv) (1 mark)
Q17 · 1 mark · Assertion-reasonCompetency-basedMetals and Non-metals
For Questions number 17 to 20, two statements are given, one labelled as Assertion (A) and the other labelled as Reason (R). Select the correct answer from the codes (A), (B), (C) and (D) given below: (A) Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A). (B) Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A). (C) Assertion (A) is true, but Reason (R) is false. (D) Assertion (A) is false, but Reason (R) is true.
Assertion (A): Hydrogen gas is not evolved when a metal reacts with nitric acid.
Reason (R): Nitric acid is a strong reducing agent and reduces the hydrogen produced in the reaction to water.
- (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
- (C)Assertion (A) is true, but Reason (R) is false.
- (D)Assertion (A) is false, but Reason (R) is true.
Try it first, then show our solutionSolution
The Assertion is true: metals generally do not give with nitric acid.
- 1 mark
The Reason is false: is a strong oxidising agent, not a reducing agent. It oxidises the produced to water and is itself reduced to nitrogen oxides. So the answer is option (C).
Answer: (C) A is true, R is false
Where the marks are
- Recognises that nitric acid is an oxidising agent, so R is false while A is true (1 mark)
Q18 · 1 mark · Assertion-reasonCompetency-basedControl and Coordination
Assertion (A): In our actions of writing or talking, our nervous system communicates with the muscles.
Reason (R): Cranial nerves and spinal nerves form the peripheral nervous system.
- (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
- (C)Assertion (A) is true, but Reason (R) is false.
- (D)Assertion (A) is false, but Reason (R) is true.
Try it first, then show our solutionSolution
- ½ mark
Both statements are true. Voluntary actions like writing or talking involve the nervous system signalling the muscles, and the peripheral nervous system does consist of cranial and spinal nerves.
- ½ mark
However, R only describes how the nervous system is organised. It does not explain the communication described in A.
Answer: Option (B)
Where the marks are
- Both true, R not the explanation (1 mark)
Q19 · 1 mark · Assertion-reasonCompetency-basedMagnetic Effects of Electric Current
Assertion (A): Magnetic field lines around a bar magnet never intersect each other.
Reason (R): Magnetic field produced by a bar magnet is a quantity that has both magnitude and direction.
- (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
- (C)Assertion (A) is true, but Reason (R) is false.
- (D)Assertion (A) is false, but Reason (R) is true.
Try it first, then show our solutionSolution
- ½ mark
Both statements are true: field lines never cross, and the magnetic field has both magnitude and direction.
- ½ mark
Field lines do not cross because the field can have only one direction at any point. R states only that the field is a vector, so the scheme treats it as not the correct explanation.
Answer: Option (B)
Where the marks are
- Both true, R not the correct explanation (1 mark)
Q20 · 1 mark · Assertion-reasonCompetency-basedOur Environment
Assertion (A): Use of jute bags for shopping reduces pollution.
Reason (R): Jute is biodegradable and its bag may be reused as and when needed.
- (A)Both Assertion (A) and Reason (R) are true and Reason (R) is the correct explanation of Assertion (A).
- (B)Both Assertion (A) and Reason (R) are true, but Reason (R) is not the correct explanation of Assertion (A).
- (C)Assertion (A) is true, but Reason (R) is false.
- (D)Assertion (A) is false, but Reason (R) is true.
Try it first, then show our solutionSolution
Jute is biodegradable, so it does not persist as waste the way plastic bags do. Jute bags can also be reused many times, which cuts down on waste.
- 1 mark
Both statements are true, and the Reason explains why jute bags reduce pollution. The answer is option (A).
Answer: (A) Both true; R explains A
Where the marks are
- Identifies both statements as true and R as the correct explanation (1 mark)
Section B
Very short answer (30-50 words); internal choice in 21 and 25
Answer one of these 2 alternatives.
Q21(a) · 2 marks · Very short answerChemical Reactions and Equations
List the possible sources of energy required in decomposition reactions. Illustrate any one with a suitable example.
Try it first, then show our solutionSolution
- 1 mark
Decomposition reactions need energy from heat (thermal decomposition), light (photolytic decomposition) or electricity (electrolytic decomposition).
- 1 mark
Example (light): silver bromide decomposes in sunlight into silver and bromine, which is why it is used in black-and-white photography: .
Answer: Heat, light, electricity; e.g.
Where the marks are
- Lists heat, light and electricity as energy sources (1 mark)
- Gives one correct example with balanced equation (1 mark)
OR
Q21(b) · 2 marks · Very short answerChemical Reactions and Equations
What is observed when hydrated ferrous sulphate crystals are heated in a dry boiling tube? Give balanced chemical equation(s) of the reaction(s) that occur(s).
Try it first, then show our solutionSolution
- ½ mark
Observation: water droplets collect on the cooler upper part of the tube and the green crystals turn white (anhydrous ).
- ½ mark
On strong heating, the white solid turns reddish-brown () and a pungent smell of burning sulphur is given off (, ).
- ½ mark
Loss of water of crystallisation:
- ½ mark
Decomposition:
Answer: Water droplets form, green crystals turn white then reddish-brown with a burning-sulphur smell; ,
Where the marks are
- Any two correct observations (½ + ½ mark)
- Balanced equation for loss of water of crystallisation (½ mark)
- Balanced equation for decomposition of (½ mark)
Q22 · 2 marks · Very short answerAcids, Bases and Salts
(a) Write the formula of the ions which (i) acids, and (ii) bases generate in water solutions.
(b) Dry HCl gas does not change the colour of dry litmus paper. Why?
- (a)0 marks
Write the formula of the ions which (i) acids, and (ii) bases generate in water solutions.
- (b)0 marks
Dry HCl gas does not change the colour of dry litmus paper. Why?
Try it first, then show our solutionSolution
- ½ mark
(a)(i) Acids give hydrogen ions, , which exist as hydronium ions in water.
- ½ mark
(a)(ii) Bases give hydroxide ions, , in water.
- 1 mark
(b) Dry HCl gas does not dissociate into ions without water, so no acidic behaviour is shown and dry litmus does not change colour.
Answer: (a)(i) / ; (ii) ; (b) no ions are formed without water
Where the marks are
- or for acids (½ mark)
- for bases (½ mark)
- Dry HCl does not ionise to give ions without water (1 mark)
Q23 · 2 marks · Very short answerLife Processes
State the main function of veins in human circulatory system. Why do they not need thick walls?
Try it first, then show our solutionSolution
- 1 mark
Veins collect deoxygenated blood from the different organs of the body and carry it back to the heart.
- 1 mark
Blood in veins flows under low pressure, so thick elastic walls are not needed; valves keep the blood flowing in one direction.
Answer: Veins return deoxygenated blood from organs to the heart; their walls are thin because blood in them is at low pressure.
Where the marks are
- Function: carry deoxygenated blood from organs back to the heart (1 mark)
- Reason: blood flows under low pressure in veins (1 mark)
Q24 · 2 marks · Very short answerHeredity
(a) Explain how the proteins control the 'characteristics' in an organism with the help of an example of 'tallness' trait in pea plant.
(b) Name the section of DNA that controls the 'characteristics' in an organism.
- (a)0 marks
Explain how the proteins control the 'characteristics' in an organism with the help of an example of 'tallness' trait in pea plant.
- (b)0 marks
Name the section of DNA that controls the 'characteristics' in an organism.
Try it first, then show our solutionSolution
- 1 mark
(a) The height of a pea plant depends on the amount of a plant hormone it makes. This hormone is produced by an enzyme (a protein). If the gene gives an efficient enzyme, more hormone is made and the plant is tall; if the gene is altered and the enzyme is less efficient, less hormone is made and the plant is short. So proteins (enzymes) coded by genes control characteristics.
- 1 mark
(b) The section of DNA that provides information for a protein and controls a characteristic is called a gene.
Answer: (a) Gene → enzyme (protein) → amount of growth hormone → tallness; (b) Gene
Where the marks are
- Links gene → efficient enzyme → more hormone → tall plant (1 mark)
- Names gene (1 mark)
Answer one of these 2 alternatives.
Q25(a) · 2 marks · Very short answerCompetency-basedThe Human Eye and the Colourful World
A student has difficulty in reading his textbooks but can read the blackboard clearly while sitting in the last row. Name the defect of vision the student is suffering from. List two reasons due to which this defect arises. Write the nature of the lenses required to correct this defect.
Try it first, then show our solutionSolution
- ½ mark
The student can see distant objects clearly but not nearby ones, so the defect is hypermetropia (far-sightedness).
- ½ mark
Reason 1: the focal length of the eye lens is too long.
- ½ mark
Reason 2: the eyeball has become too small (shortened).
- ½ mark
Correction: a convex (converging) lens of suitable power.
Answer: Hypermetropia; focal length of eye lens too long, eyeball too small; convex (converging) lens
Where the marks are
- Names hypermetropia (½ mark)
- Two causes (½ + ½ mark)
- Convex/converging lens (½ mark)
OR
Q25(b) · 2 marks · Very short answerThe Human Eye and the Colourful World
Draw a ray diagram to show the path of a ray of light falling obliquely on one of the refracting faces of a triangular glass prism and mark the angle of deviation on it.
Figure in the paper: Student to draw a ray diagram of a triangular glass prism with an oblique incident ray striking one refracting face, the refracted ray inside the prism, and the emergent ray; the angle of deviation is to be marked between the extended incident ray and the emergent ray. See it in the official paper.
Try it first, then show our solutionSolution
- 1 mark
Diagram: draw triangular prism ABC. Incident ray PE strikes face AB obliquely at E; draw the normal at E. The ray bends towards the normal inside the glass along EF to face AC; draw the normal at F. The ray bends away from the normal and emerges along FS, bending towards the base BC.
- ½ mark
Mark arrows on the incident ray, refracted ray and emergent ray to show the direction of light.
- ½ mark
Produce the incident ray forward and the emergent ray backward (dotted) until they meet; the angle between them is the angle of deviation ; mark it.
Answer: Ray diagram through prism with incident ray, refracted ray, emergent ray bent towards base, and angle of deviation D between extended incident and emergent rays.
Where the marks are
- Correct diagram with normals and bending at both faces (1 mark)
- Arrows showing direction of rays (½ mark)
- Angle of deviation correctly marked (½ mark)
Q26 · 2 marks · Very short answerElectricity
An electric kettle is rated 230 V; 1000 W. Calculate the resistance of its heating element when in operation.
Try it first, then show our solutionSolution
- ½ mark
Given , . Using , so .
- 1 mark
- ½ mark
Answer:
Where the marks are
- Formula (½ mark)
- Correct substitution (1 mark)
- Answer 52.9 Ω with unit (½ mark)
Section C
Short answer (50-80 words); internal choice in 28
Q27 · 3 marks · Short answerMetals and Non-metals
(a) What is a reactivity series of elements? How is it developed? Arrange the following elements as they are arranged in the reactivity series: Aluminum, Calcium, Copper, Lead
(b) Write balanced chemical equation to show the reaction of iron (III) oxide () with aluminium.
Try it first, then show our solutionSolution
- ½ mark
(a) The reactivity series is a list of metals arranged in order of decreasing reactivity.
- ½ mark
It is developed by performing displacement reactions – a more reactive metal displaces a less reactive metal from its salt solution.
- 1 mark
Order: Calcium > Aluminium > Lead > Copper.
- 1 mark
(b) Thermit reaction:
Answer: (a) Metals in decreasing order of reactivity, found by displacement reactions; Ca > Al > Pb > Cu; (b)
Where the marks are
- Definition of reactivity series (½ mark)
- Developed through displacement reactions (½ mark)
- Correct order Ca, Al, Pb, Cu (1 mark)
- Balanced thermit equation (1 mark)
Answer one of these 2 alternatives.
Q28(a) · 3 marks · Short answerAcids, Bases and Salts
Common salt is an important raw material for various chemicals of daily use. State in brief the method of preparation of (i) Sodium hydroxide, and (ii) Sodium hydrogen carbonate from common salt. Write balanced chemical equations of the reactions that occur.
Try it first, then show our solutionSolution
- ½ mark
(i) Sodium hydroxide: electricity is passed through brine (aqueous NaCl) – the chlor-alkali process. Chlorine forms at the anode, hydrogen at the cathode and NaOH solution near the cathode.
- 1 mark
- ½ mark
(ii) Sodium hydrogen carbonate: a cold solution of brine is treated with ammonia and carbon dioxide; sodium hydrogen carbonate separates out and ammonium chloride forms.
- 1 mark
Answer: (i) Electrolysis of brine: ; (ii)
Where the marks are
- Method for NaOH – electrolysis of brine (½ mark)
- Balanced chlor-alkali equation (1 mark)
- Method for NaHCO₃ – brine with NH₃ and CO₂ (½ mark)
- Balanced equation (1 mark)
OR
Q28(b) · 3 marks · Short answerAcids, Bases and Salts
Design an experimental set-up to demonstrate that "Alcohol and glucose contain hydrogen but are not categorised as acids". Also give the reason to justify this fact.
Try it first, then show our solutionSolution
- 1 mark
Set-up: fix two iron nails on a rubber cork in a 100 mL beaker; connect them through a bulb, a switch and a 6 V battery. Pour dilute HCl into the beaker and switch on – the bulb glows. Repeat with dilute – the bulb glows.
- 1 mark
Now repeat separately with glucose solution and alcohol solution – the bulb does not glow, so these solutions do not conduct electricity.
- 1 mark
Reason: acids dissociate in water to give ions which carry current; glucose and alcohol contain hydrogen but do not release ions in water, so they are not acids.
Answer: Bulb glows with acid solutions but not with glucose/alcohol solutions, since only acids release ions in water.
Where the marks are
- Correct circuit set-up with acid solutions – bulb glows (1 mark)
- Glucose/alcohol – bulb does not glow (1 mark)
- Reason: no ions produced by glucose/alcohol (1 mark)
Q29 · 3 marks · Short answerLife Processes
On the basis of the characteristics of the processes given in the brackets in each case, differentiate between the following:
- (a)1 mark
Products of breakdown of pyruvate in aerobic and anaerobic respiration in human beings (product(s) of the processes)
- (b)1 mark
Respiration and photosynthesis in plants (gas released)
- (c)1 mark
Respiration in terrestrial animals and fishes (organs involved)
Try it first, then show our solutionSolution
- ½ mark
(a) Aerobic respiration: pyruvate is broken down in mitochondria into carbon dioxide and water (with much energy).
- ½ mark
(a) Anaerobic respiration in human muscles: pyruvate is converted into lactic acid.
- ½ mark
(b) Respiration in plants releases carbon dioxide.
- ½ mark
(b) Photosynthesis releases oxygen.
- ½ mark
(c) Terrestrial animals breathe through lungs (or skin/tracheae).
- ½ mark
(c) Fishes use gills to take oxygen dissolved in water.
Answer: (a) CO₂ + water vs lactic acid; (b) CO₂ vs O₂; (c) lungs vs gills
Where the marks are
- CO₂ and water in aerobic (½ mark); lactic acid in anaerobic (½ mark)
- CO₂ in respiration (½ mark); O₂ in photosynthesis (½ mark)
- Lungs in terrestrial animals (½ mark); gills in fishes (½ mark)
Q30 · 3 marks · Short answerHeredity
A pure pea plant having round (R), yellow (Y) seeds is crossed with another pure pea plant having wrinkled (r), green (y) seeds. Subsequently progeny is self-pollinated to obtain progeny.
- (a)1 mark
What do the seeds of generation look like?
- (b)1 mark
Give the possible combinations of traits in seeds of generation. Also give their ratio.
- (c)1 mark
State the reason of obtaining seeds of new combination of traits in generation.
Try it first, then show our solutionSolution
- 1 mark
(a) Cross RRYY × rryy gives all RrYy, so all seeds are round and yellow (round and yellow are dominant).
- 1 mark
(b) combinations: round yellow : round green : wrinkled yellow : wrinkled green = 9 : 3 : 3 : 1.
- 1 mark
(c) New combinations (round green, wrinkled yellow) appear because the two traits are inherited independently of each other (independent assortment).
Answer: (a) Round, yellow; (b) RY : Ry(green) : wrinkled yellow : wrinkled green = 9 : 3 : 3 : 1; (c) independent inheritance of traits
Where the marks are
- F₁ all round yellow (1 mark)
- Four combinations with 9:3:3:1 ratio (1 mark)
- Independent inheritance/assortment of traits (1 mark)
Q31 · 3 marks · Short answerThe Human Eye and the Colourful World
What is a rainbow? Draw a labelled diagram to show its formation.
Try it first, then show our solutionSolution
- 1 mark
A rainbow is a natural spectrum of seven colours appearing in the sky after a rain shower, seen in the direction opposite to the sun. It is caused by dispersion of sunlight by tiny water droplets in the atmosphere.
- 1½ marks
Diagram: draw a spherical raindrop with sunlight (white light) entering it. At entry the light is refracted and dispersed into colours; the rays then undergo internal reflection at the back surface of the drop, and refract again on leaving the drop. Show red and violet separating, with the observer's eye on the side of the incoming sunlight (sun behind observer).
- ½ mark
Label: sunlight, raindrop, refraction and dispersion, internal reflection, refraction, red, violet; mark arrows on all rays.
Answer: A rainbow is a natural spectrum after rain due to dispersion, refraction and internal reflection of sunlight by water droplets; labelled diagram of a raindrop.
Where the marks are
- Definition of rainbow (1 mark)
- Diagram of raindrop showing refraction, dispersion, internal reflection and refraction (1½ marks)
- Labels and arrows on rays (½ mark; ½ deducted if arrows missing)
Q32 · 3 marks · Short answerMagnetic Effects of Electric Current
Consider a rectangular cardboard having two holes P and Q through which a current carrying circular loop has been inserted as shown in the diagram.
- (a)1 mark
Make this diagram on your answer sheet and draw three magnetic field lines, one each passing through the points 1 (near P), 2 (at the centre of the loop) and 3 (near Q).
- (b)1 mark
List two factors on which the intensity of the magnetic field produced at the centre of the loop depends.
- (c)1 mark
Name the rule you will apply to determine the direction of magnetic field produced due to a current carrying straight conductor.
Figure in the paper: A rectangular cardboard (shown in perspective) with two small holes P (left) and Q (right). A circular loop passes through the holes: the upper semicircle is drawn above the cardboard as a solid arc and the lower semicircle is dashed below the cardboard. A dashed horizontal line joins P and Q through the centre of the loop, with three marked points: 1 near P, 2 at the centre, and 3 near Q. Two wire leads at the bottom front of the cardboard carry current, with arrows showing current going up on one lead and down on the other. See it in the official paper.
Try it first, then show our solutionSolution
- ½ mark
(a) Point 1 (near P): field lines are small concentric circles around the wire at P, direction given by the right-hand thumb rule for the current there.
- ½ mark
Point 3 (near Q): concentric circles around the wire at Q in the opposite sense, since current at Q flows in the opposite direction (down vs up through the board).
- ½ mark
Point 2 (centre): the field line is nearly a straight line, perpendicular to the plane of the loop, as fields from all parts of the loop add up in the same direction.
- ½ mark
(b) Factor 1: strength of current in the loop (field ∝ current).
- ½ mark
Factor 2: number of turns of the loop (also radius – field decreases as radius increases).
- ½ mark
(c) Right-hand thumb rule.
Answer: (a) Circles around P and Q in opposite senses, straight line at centre; (b) current and number of turns (also radius); (c) right-hand thumb rule
Where the marks are
- Correct field lines at points 1, 2 and 3 (½ × 3 marks)
- Two factors: current, number of turns (½ × 2 marks)
- Right-hand thumb rule (½ mark)
Q33 · 3 marks · Short answerOur Environment
(a) "In a food chain energy flow is unidirectional." Give two reasons for the given statement.
(b) If 10,000 J energy is available at the producer level, how much energy will be available to the secondary consumers? Give reason to justify your answer.
- (a)2 marks
"In a food chain energy flow is unidirectional." Give two reasons for the given statement.
- (b)1 mark
If 10,000 J energy is available at the producer level, how much energy will be available to the secondary consumers? Give reason to justify your answer.
Try it first, then show our solutionSolution
- 1 mark
(a) Reason 1: energy captured by plants does not go back to the sun, and energy passed to herbivores does not come back to the autotrophs.
- 1 mark
Reason 2: as energy moves through successive trophic levels, much is lost as heat at each level, so it is no longer available to the previous level.
- ½ mark
(b) Producer 10000 J → primary consumer 1000 J → secondary consumer 100 J.
- ½ mark
Reason: by the 10% law, only about 10% of the energy at one trophic level is transferred to the next.
Answer: (a) Energy does not return to earlier levels and is lost at each level; (b) 100 J (10% law)
Where the marks are
- Any two correct reasons for unidirectional flow (1 + 1 mark)
- 100 J (½ mark)
- Justification by 10% law (½ mark)
Section D
Long answer (80-120 words); internal choice in 34, 35 and 36
Answer one of these 2 alternatives.
Q34(a) · 5 marks · Long answerMetals and Non-metals
(i) Consider the following metals: K, Ca, Al, Cu, Ag, Fe. Select from the above metals, a metal which
I. does not react with oxygen even at high temperature.
II. reacts with oxygen at ordinary temperature and forms a protective oxide layer which prevents the metal from further oxidation.
III. catches fire when kept in the open.
IV. does not burn in oxygen but the hot metal is coated with a black coloured oxide layer.(ii) What are amphoteric oxides? With the help of balanced chemical equations show that aluminium oxide is an amphoteric oxide.
(iii) What are alkalis? Give one example.
Try it first, then show our solutionSolution
- ½ mark
(i) I. Silver (Ag) does not react with oxygen even at high temperature.
- ½ mark
II. Aluminium (Al) forms a protective oxide layer at ordinary temperature.
- ½ mark
III. Potassium (K) catches fire when kept in the open, so it is stored in kerosene.
- ½ mark
IV. Copper (Cu) does not burn but gets coated with black copper(II) oxide when heated.
- 1 mark
(ii) Amphoteric oxides are metal oxides that react with both acids and bases to form salt and water.
- ½ mark
With acid:
- ½ mark
With base: (sodium aluminate). Since it reacts with both, is amphoteric.
- ½ mark
(iii) Alkalis are bases that are soluble in water.
- ½ mark
Example: sodium hydroxide (NaOH) or potassium hydroxide (KOH).
Answer: (i) I Ag, II Al, III K, IV Cu; (ii) oxides reacting with both acids and bases; , ; (iii) water-soluble bases, e.g. NaOH
Where the marks are
- Ag, Al, K, Cu (½ × 4 marks)
- Definition of amphoteric oxides (1 mark)
- Equations with HCl and NaOH (½ + ½ mark)
- Definition of alkali (½ mark) and one example (½ mark)
OR
Q34(b) · 5 marks · Long answerMetals and Non-metals
(i) With the help of balanced chemical equations state the process of extracting (I) mercury from its ore called cinnabar, and (II) copper from its sulphide ore.
(ii) Silver and copper articles slowly lose their shiny surfaces when exposed to air. Name the compounds formed on (I) silver articles, and (II) copper articles in the form of coating.
Try it first, then show our solutionSolution
- 1 mark
(i)(I) Cinnabar (HgS) is roasted in air to convert it into mercuric oxide:
- 1 mark
On further heating, mercuric oxide is reduced to mercury:
- 1 mark
(II) Copper glance () is partially roasted in air:
- 1 mark
The copper(I) oxide formed reacts with the remaining sulphide (self-reduction):
- ½ mark
(ii)(I) Silver articles get a black coating of silver sulphide, .
- ½ mark
(II) Copper articles get a green coating of basic copper carbonate, .
Answer: (i) , ; , ; (ii) Ag₂S; basic copper carbonate
Where the marks are
- Each of the four balanced equations (1 mark each; ½ deducted if unbalanced)
- Silver sulphide (½ mark)
- Basic copper carbonate (½ mark)
Answer one of these 2 alternatives.
Q35(a) · 5 marks · Long answerHow do Organisms Reproduce?
(i) Identify the parts 'X' and 'Y' in the figure given below.
(ii) Name the yellowish coloured structures produced by the part labelled as 'Y'.
(iii) Write the name of the process by which these are transferred to the part labelled as 'X'.
(iv) Explain the process of seed formation in a flowering plant.Figure in the paper: Diagram of a hibiscus-type flower with sepals at the base and red petals. Two labels: 'X' points to the top of the central pistil (the stigma, the knob-like tip of the pistil), and 'Y' points to one of the anthers at the tip of the stamens, which surround the pistil. Labels 'Petal' and 'Sepal' are also marked. See it in the official paper.
Try it first, then show our solutionSolution
- 1 mark
(i) X – Stigma; Y – Anther.
- 1 mark
(ii) The anther produces yellowish pollen grains.
- 1 mark
(iii) Transfer of pollen from anther to stigma is called pollination.
- 1 mark
(iv) After pollination, a pollen tube grows out of the pollen grain and travels through the style to reach the ovule in the ovary. The male germ cell fuses with the female germ cell (egg) – fertilisation – forming a zygote.
- 1 mark
The zygote divides many times to form an embryo inside the ovule; the ovule develops a tough coat and becomes the seed, while the ovary grows into the fruit.
Answer: (i) X stigma, Y anther; (ii) pollen grains; (iii) pollination; (iv) pollen tube → fertilisation → zygote → embryo → ovule becomes seed
Where the marks are
- Stigma and anther (½ + ½ mark)
- Pollen grains (1 mark)
- Pollination (1 mark)
- Explanation of seed formation via pollen tube, fertilisation, zygote, embryo, seed coat (2 marks)
OR
Q35(b) · 5 marks · Long answerHow do Organisms Reproduce?
(i) Name the type of asexual mode of reproduction shown in the given figure.
(ii) Identify the unicellular organism in the diagram.
(iii) List any two advantages of asexual reproduction over sexual reproduction.
(iv) Name and explain any one mode of asexual reproduction observed in Hydra.Figure in the paper: Six labelled sketches (a) to (f) in sequence of a single elongated cell with a flagellum at the top and a nucleus. In (a) one nucleus; (b) nucleus divides; (c) and (d) two nuclei moving apart; (e) cell elongating with two nuclei and beginning to constrict in the middle; (f) two separate daughter cells connected at the flagellated end. See it in the official paper.
Try it first, then show our solutionSolution
- ½ mark
(i) Binary fission (longitudinal, in a definite plane).
- ½ mark
(ii) The flagellated organism is Leishmania.
- 1 mark
(iii) Advantage 1: a large number of offspring are produced in a short time.
- 1 mark
Advantage 2: only one parent is needed and no gametes are formed (offspring are genetically similar).
- 1 mark
(iv) Mode: Budding in Hydra.
- 1 mark
A bud forms as an outgrowth due to repeated cell division at a specific site; it develops into a tiny individual and, on maturing, detaches from the parent to become a new independent Hydra.
Answer: (i) Binary fission; (ii) Leishmania; (iii) many offspring quickly, single parent/no gametes; (iv) budding
Where the marks are
- Binary fission (½ mark)
- Leishmania (½ mark)
- Two advantages (1 + 1 mark)
- Names budding (1 mark) and explains it (1 mark)
Answer one of these 2 alternatives.
Q36(a) · 5 marks · Long answerLight – Reflection and Refraction
(i) "In refraction of light through a rectangular glass slab, the emergent ray is always parallel to the direction of the incident ray." Why? Explain with the help of a ray diagram. What happens when a ray of light falls normally on one of the faces of a rectangular glass prism? Draw diagram.
(ii) An object is placed at a distance of 30 cm from the optical centre of a concave lens of focal length 20 cm. Use Lens formula to determine the position of the image formed in this case.
Try it first, then show our solutionSolution
- 1 mark
(i) Why the emergent ray is parallel to the incident ray: At the first face, light bends towards the normal as it goes from air into glass. At the second face, it bends away from the normal as it goes from glass into air. The two faces are parallel and the same pair of media is involved, so the bending at the second face is equal and opposite to the bending at the first face. The angle of emergence therefore equals the angle of incidence (). The emergent ray is parallel to the incident ray, only shifted sideways (lateral displacement).
- 1 mark
Ray diagram (glass slab): Draw a rectangle ABCD (the slab).
- Incident ray PE meets face AB at E; draw normal and mark .
- Refracted ray EF inside the glass bends towards the normal; mark .
- At face CD, draw normal . The emergent ray FS bends away from the normal; mark .
- Show FS parallel to PE: extend PE as a dotted line and mark the lateral displacement between it and FS.
- Put arrows on all rays.
- 1 mark
Normal incidence: If a ray falls normally on a face (angle of incidence ), it enters the glass without bending, because . Diagram: a ray drawn perpendicular to one face passes straight through the glass with no deviation at that face, with an arrow showing its direction.
- 1 mark
(ii) For a concave lens, cm. The object is on the left, so cm.
Lens formula: , so
- ½ mark
, so cm
- ½ mark
The image is formed 12 cm from the optical centre, on the same side of the lens as the object. It is virtual and erect.
Answer: (i) Bending at the two parallel faces is equal and opposite, so the emergent ray is parallel to the incident ray; a ray incident normally passes undeviated. (ii) v = −12 cm, i.e. 12 cm from the lens on the same side as the object (virtual, erect).
Where the marks are
- Explains equal and opposite bending at the two parallel faces, so ∠e = ∠i (1 mark)
- Correct slab ray diagram with normals, angles and arrows (1 mark)
- States and draws that a normally incident ray passes undeviated (1 mark)
- Correct sign convention and lens formula with substitution (1 mark)
- v = −12 cm (½ mark)
- States image is on the same side as the object (½ mark)
OR
Q36(b) · 5 marks · Long answerLight – Reflection and Refraction
(i) A student wishes to study the image formation by a concave mirror using candle flame as object. State the type of the image formed by the mirror and mention the change in the image formed, if any, that he observes when the candle flame is gradually moved away from the pole of the mirror. Draw a ray diagram to show the image formation when the object distance is nearly equal to the radius of curvature of the mirror.
(ii) A convex mirror used for rear-view on an automobile has a focal length of 3.0 m. If a bus is located at 6.0 m from this mirror, use mirror formula to find the position of the image of the bus as seen in the mirror.
Try it first, then show our solutionSolution
- 1 mark
(i) Type of image:
- When the candle is beyond F, the image is real and inverted.
- When the candle is between P and F, the image is virtual and erect.
- 1 mark
Change observed: As the candle is moved gradually away from the pole, the real image moves closer towards F and becomes smaller (diminished).
- 1 mark
Ray diagram (object at C): Draw the concave mirror with its principal axis, and mark P, F and C.
- Place the candle AB at C.
- Draw a ray from A parallel to the axis; after reflection it passes through F.
- Draw a ray from A through F; after reflection it travels parallel to the axis.
- The two reflected rays meet below the axis at A′. The image A′B′ is at C: real, inverted and of the same size as the object.
- Put arrows on all rays.
- 1 mark
(ii) For a convex mirror, m and m.
Mirror formula: , so
- ½ mark
, so m
- ½ mark
The image is 2.0 m behind the mirror. It is virtual, erect and diminished.
Answer: (i) Real and inverted (object beyond F) or virtual and erect (object between P and F); the image becomes smaller as the candle moves away; with the object at C, the image is at C, real, inverted and same size. (ii) v = +2.0 m, i.e. 2.0 m behind the mirror.
Where the marks are
- States the type of image (real, inverted / virtual, erect) (1 mark)
- States the image diminishes as the object moves away (1 mark)
- Correct ray diagram for object at C (1 mark)
- Sign convention and mirror formula with substitution (1 mark)
- Correct calculation (½ mark)
- v = +2.0 m, behind the mirror (½ mark)
Section E
Source-based/case-based with sub-parts; internal choice within sub-parts of 37, 38 and 39
Q37 · 4 marks · Case-basedCompetency-basedAcids, Bases and Salts
'A' and 'B' are two salts used for washing purposes. Salt 'A' is used for bathing also. Four test tubes I, II, III and IV as mentioned below are taken.
I. Rain water + solution of salt 'A'
II. Rain water + solution of salt 'B'
III. Tubewell water + solution of salt 'A'
IV. Tubewell water + solution of salt 'B'The test tubes are shaken one by one almost identically for the same time and the lengths of foam formed in each test tube is noted.
- (a)1 mark
In which one of the four test tubes is the foam formed the minimum?
- (b)1 mark
Differentiate between salt A and salt B.
- (c)(i)2 marks
What are esters? What happens when an ester reacts with an alkali (say sodium hydroxide)? Give chemical equation for the reaction.
OR
(c)(ii)2 marksWhat is the cause of hardness of water? Sometimes it is observed that while bathing foam is formed with difficulty and an insoluble substance is formed. Name this substance and write the cause of its formation.
Try it first, then show our solutionSolution
- 1 mark
(a) Test tube III (tubewell water + salt A) forms the least foam. Tubewell water is hard, and salt A is soap, which does not lather well in hard water.
- 1 mark
(b) Salt A is a soap: a sodium or potassium salt of a long-chain carboxylic acid, which does not lather well with hard water. Salt B is a detergent: a sodium salt of a sulphonic acid (or an ammonium salt with chloride or bromide ions), which lathers even with hard water.
- ½ mark
(c)(i) Esters are sweet-smelling compounds used in perfumes and flavouring agents. They are formed when a carboxylic acid reacts with an alcohol in the presence of an acid catalyst (esterification).
- ½ mark
When an ester is treated with an alkali such as NaOH, it is converted back into an alcohol and the sodium salt of the carboxylic acid. This reaction is called saponification.
- 1 mark
(c)(ii) (Alternative to (c)(i), also worth 2 marks.)
- Cause of hardness: water contains dissolved calcium and magnesium salts (bicarbonates, chlorides, sulphates).
- Insoluble substance: scum.
- Cause of its formation: soap molecules react with the and ions in the water and form an insoluble precipitate (scum), so little foam is formed.
Answer: (a) Test tube III; (b) A is a soap (Na/K salt of long-chain carboxylic acid, poor lather in hard water), B is a detergent (sulphonate salt, lathers in hard water); (c)(i) esters are sweet-smelling compounds; with NaOH they give alcohol + sodium salt of the acid (saponification): CH₃COOC₂H₅ + NaOH → C₂H₅OH + CH₃COONa; (c)(ii) Ca/Mg salts cause hardness; the insoluble substance is scum, formed by soap reacting with Ca²⁺/Mg²⁺ ions.
Where the marks are
- Identifies test tube III (1 mark)
- One valid difference between soap and detergent (1 mark)
- (c)(i) Defines esters (½ mark)
- (c)(i) States ester + alkali gives alcohol + salt of the acid (½ mark)
- (c)(i) Correct equation (1 mark)
- OR (c)(ii) Ca and Mg salts cause hardness (½ mark)
- OR (c)(ii) Names scum (½ mark)
- OR (c)(ii) Soap reacts with Ca/Mg ions to form an insoluble substance (1 mark)
Q38 · 4 marks · Case-basedCompetency-basedControl and Coordination
A person while climbing up a rocky hill comes into a panic state and fear. His body starts reacting in a "flight-or-flight" condition to adjust to the dangerous and stressful situation.
Based on the above facts, answer the questions that follow.
- (a)(i)2 marks
Name the hormone secreted in the blood of the person in this situation.
OR
(a)(ii)2 marksName the source gland of the hormone secreted in this condition.
- (b)1 mark
State any two responses in the body of the person as a result of the secretion of this hormone.
- (c)1 mark
How does the action of the chemical signal in terms of hormones differ from the electrical impulses via nerve cells?
Try it first, then show our solutionSolution
- 1 mark
(a)(i) The hormone secreted is adrenaline.
(a)(ii) (Alternative to (a)(i).) The source gland is the adrenal gland, which lies on top of each kidney.
- 1 mark
(b) Response 1: the heart beats faster, so more oxygen is supplied to the muscles.
- 1 mark
(b) Response 2: the breathing rate increases because the diaphragm and rib muscles contract more. Blood supply to the digestive system and skin is reduced and diverted to the skeletal muscles.
- 1 mark
(c) A hormone (chemical signal) travels through the bloodstream and can reach a wide range of target cells all over the body; its action is slower and longer-lasting.
An electrical impulse travels only along nerve cells, reaches only the cells connected to those nerves, and acts quickly and briefly.
Answer: (a)(i) Adrenaline / (a)(ii) Adrenal gland; (b) faster heartbeat (more O₂ to muscles) and faster breathing (blood diverted from digestive system and skin to skeletal muscles); (c) hormones travel via blood to many target cells (slower, longer-lasting), whereas nerve impulses travel only along nerve cells (fast, localised).
Where the marks are
- Names adrenaline (or, in the alternative, the adrenal gland) (1 mark)
- Any two correct responses, 1 mark each (2 marks)
- Correct contrast between chemical and electrical signalling (1 mark)
Q39 · 4 marks · Case-basedCompetency-basedElectricity
As shown in the diagram, an electric circuit consisting of an ammeter, a voltmeter, 4 cells of 1.5 V each, a plug key with a gap XY was set up. Voltmeter and ammeter readings were recorded in the observation table for four arrangements as given below:
Arrangement No. 1 – only resistor in gap XY
Arrangement No. 2 – only resistor in gap XY
Arrangement No. 3 – Resistors and in series in gap XY
Arrangement No. 4 – Resistors and in parallel in gap XYBased on the observations, four V – I graphs A, B, C and D as shown in figure were drawn. Study these graphs.
- (a)1 mark
Which one of the graphs represents the series combination of and ?
- (b)1 mark
Which one of these graphs represents the parallel combination of and ?
- (c)(i)2 marks
Show an arrangement of three resistors, each of resistance , so that the combination has a resistance of . Give justification for your answer.
OR
(c)(ii)2 marksA battery of 6 V is connected with a series combination of five resistors of , , , and . How much current would flow through the resistor? Justify your answer.
Figure in the paper: Left: circuit diagram with four cells (battery) connected in series, a plug key K, an ammeter A in the main line, and a voltmeter V connected across the gap between points X and Y, with resistors placed in gap XY. Right: V–I graph with axes I (amperes) on the vertical axis and V (volts) on the horizontal axis, all four straight lines starting from origin O: line A has the smallest slope, then B, then C, and D has the steepest slope. See it in the official paper.
Try it first, then show our solutionSolution
- 1 mark
(a) The graphs have I on the y-axis and V on the x-axis, so slope . The series combination has the largest resistance, so it has the smallest slope: Graph A.
- 1 mark
(b) The parallel combination has the least resistance (less than both and ), so it has the steepest slope: Graph D.
- 1 mark
(c)(i) Arrangement: connect two resistors in parallel, and connect this pair in series with the third resistor.
Parallel part:
- 1 mark
Total resistance:
(c)(ii) (Alternative to (c)(i), also worth 2 marks.)
- Total resistance in series:
- Current: A
- Justification: in a series circuit the same current flows through every resistor, so 4.0 A flows through the resistor.
Answer: (a) Graph A; (b) Graph D; (c)(i) two 10 Ω resistors in parallel (5 Ω) in series with the third 10 Ω gives 15 Ω; (c)(ii) 4.0 A, because the same current flows through all resistors in series.
Where the marks are
- Graph A for series, with reasoning from slope = 1/R (1 mark)
- Graph D for parallel (1 mark)
- (c)(i) Correct arrangement and parallel value 5 Ω (1 mark)
- (c)(i) Total 15 Ω shown (1 mark)
- OR (c)(ii) R = 1.5 Ω and I = 6/1.5 = 4.0 A (1 mark)
- OR (c)(ii) Justification: same current in series (1 mark)
Source: official question paper, cbse.gov.in. Chapter tags and solutions are ours. Spotted a transcription error? Write tosupport@questionbuddy.in.