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Science — CBSE Class 10 board question

Q1. [1]
In a resistive circuit if the current is increased to two times, the percentage change in the amount of heat dissipated in the circuit would be :
  1. (a) 400%
  2. (b) 300%
  3. (c) 200%
  4. (d) 100%
Previously asked in CBSE board exam
2023 31/2/1 Q15
Generated by claude-sonnet-4-6 · 2026-06-15 06:44 · grounding rag
Model Answer

(b) 300%

By Joule's law, $H = I^2Rt$. If current doubles, new heat $H' = (2I)^2Rt = 4I^2Rt = 4H$.
Percentage change $= \frac{4H - H}{H} \times 100 = 300\%$.

Source: Electricity, Section 11.7

Explanation

Students often confuse "percentage change" with "times increased." Heat becomes 4 times the original, but the increase is 3H, giving 300% change — not 400%. Always apply the formula: % change = [(new − old)/old] × 100.

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