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The maximum error in the measurement of resistance, current and time for which current flows in an electrical circuit are 1%, 2% and 3% respectively. The maximum percentage error in the detection of the dissipated heat will be

Asked in JEE Main 25th July 2nd Shift 2022 · Error in a power

Answer: (4) 8

Step-by-step solution

Idea: the heat dissipated is H=I²Rt, so the current enters squared.

(Δ H)/H=2(Δ I)/I+(Δ R)/R+(Δ t)/t

=2(2%)+1%+3%

=4%+1%+3%=8%.

Why the other options are wrong

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