CBSE Class 10 Science 2026: question 39(a)
Set in the CBSE Class 10 board exam of 2026, paper 31/1/1, section C, question 39(a), for 5 marks. Try it first; the hints and our step-by-step solution are below.
Q39(a) · 5 marks · Long answerElectricity
Answer the following.
- (i)0 marks
Due to change in length and area of cross-section of a conductor, resistance of conductor changes while resistivity does not change. Why?
- (ii)0 marks
Conductors of electric toasters and electric iron are made of an alloy rather than a pure metal. Why?
- (iii)0 marks
Define the S.I. unit of electric current.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2026 board paper, set 31/1/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
Write the formula linking R, ρ, l and A, and see which quantities depend on the shape of the wire.
Hint 2
For heating appliances, think about how much heat the element must produce and what happens to it at high temperature.
Step-by-step solution
Each step shows the marks it earns, as an examiner would award them. Checked by an independent re-solve from the question paper.
- 1 mark
(i) Resistance is . It is directly proportional to the length and inversely proportional to the area of cross-section . So changing or changes .
- 1 mark
(i) Resistivity is a characteristic property of the material (at a given temperature). It does not depend on the dimensions of the conductor, so it does not change.
- 1 mark
(ii) An alloy has a higher resistivity than its constituent pure metals, so it produces more heat for the same current.
- 1 mark
(ii) Alloys also do not oxidise (burn) readily at high temperatures. This makes them ideal for heating elements such as those in toasters and irons.
- 1 mark
(iii) The SI unit of electric current is the ampere (A). One ampere is the current when 1 coulomb of charge flows through a cross-section of a conductor in 1 second: .
Answer: (i) R = ρl/A depends on l and A, while ρ is a property of the material only; (ii) alloys have high resistivity and do not oxidise at high temperature; (iii) 1 A = flow of 1 C of charge per second
Where the marks are
- (i) R depends on length and area via (1 mark)
- (i) Resistivity is a characteristic of the material, so unchanged (1 mark)
- (ii) Higher resistivity of alloys / do not oxidise readily at high temperature (2 marks)
- (iii) 1 ampere = 1 coulomb per second (1 mark)
Revise the chapter
- Chapter: Electricity (notes, formulas, where marks are lost and every past question)
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