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BITSAT 2020
Exam
BITSAT
Year
2020
Subject
Physics
Chapter
Mathematics in Physics

BITSAT 2020 · Physics · Mathematics in Physics

The heat generated in a circuit is given by Q= I ^ 2 Rt, where I is...

The heat generated in a circuit is given by Q=\mathrm{Q}=\mathrm{I}2Rt,^{2} \mathrm{Rt}, where I is current, R\mathrm{R} is resistance and tis time. If the percentage errors in measuring I. R\mathrm{R} and t\mathrm{t} are 2%,1%2 \%, 1 \% and 1%1 \% respectively, then the maximum error in measuring heat will be

Options

  1. A2%2 \%
  2. B3%3 \%
  3. C4%4 \%
  4. D6%6 \%

Correct answer

D. 6%6 \%

Step-by-step solution

ΔQQ×100=2ΔII×100+ΔRR×100+Δtt×100=2×2%+1%+1%=6%\begin{aligned} \frac{\Delta Q}{Q} \times 100 &=\frac{2 \Delta I}{I} \times 100+\frac{\Delta R}{R} \times 100+\frac{\Delta t}{t} \times 100 \\ &=2 \times 2 \%+1 \%+1 \%=6 \% \end{aligned}
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