CBSE Class 10 Science 2024: question 32
Set in the CBSE Class 10 board exam of 2024, paper 31/3/1, section C, question 32, for 3 marks. Try it first; the hints and our step-by-step solution are below.
Q32 · 3 marks · Short answerElectricity
Explain in brief the function of an electric fuse in a domestic circuit. An electric heater of current rating 3 kW; 220 V is to be operated in an electric circuit of rating 5 A. What is likely to happen when the heater is switched 'ON' ? Justify your answer with necessary calculation.
Source: official question paper from cbse.gov.in (PDF). See it in the full 2024 board paper, set 31/3/1.
Hints
Open one hint at a time and try again before the next.
Hint 1
Which effect of current makes a fuse wire melt?
Hint 2
Find the current drawn by the heater using power and voltage.
Hint 3
Compare that current with 5 A.
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
Function of fuse: A fuse is a short wire of low melting point connected in series with the circuit. If excess current flows because of overloading or a short circuit, the wire heats up (Joule heating), melts and breaks the circuit. This protects the appliances and the wiring from damage.
- ½ mark
Given: , . Formula used: .
- 1 mark
- ½ mark
Conclusion: The heater draws about 13.6 A, which is more than the 5 A rating of the circuit. When the heater is switched ON, the fuse wire will melt and break the circuit, and the heater will not work in this circuit.
Answer: The fuse protects against overloading and short circuits by melting. The heater draws I = 3000/220 ≈ 13.6 A > 5 A, so the fuse will blow and the circuit will break.
Where the marks are
- Function of fuse: melts on excess current, protecting circuit and appliances (1 mark)
- Uses P = VI (½ mark)
- Calculates I ≈ 13.6 A (1 mark)
- Concludes that the current exceeds 5 A, so the fuse melts (½ mark)
Revise the chapter
- Chapter: Electricity (notes, formulas, where marks are lost and every past question)
- Topic: Electric Power and Energy
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