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AIIMS 2001
Exam
AIIMS
Year
2001
Subject
Physics
Chapter
Mathematics in Physics

AIIMS 2001 · Physics · Mathematics in Physics

The heat produced in a long wire is characterised by resistance,...

The heat produced in a long wire is characterised by resistance, current and time through which the current passes. If the errors in measuring these quantities are respectively 1%,2%1 \%, 2 \% and 1%1 \%, then total error in calculating the energy produced is

Options

  1. A4%4 \%
  2. B6%6 \%
  3. C4/3%4 / 3 \%
  4. D8%8 \%

Correct answer

B. 6%6 \%

Step-by-step solution

The heat produced in a wire due to current flow is given by H=I2Rt∴ΔHH=2ΔII+ΔRR+Δtt=2×0.02+0.01+0.01=0.06=6%\begin{aligned}H & =I² R t \\ \therefore \frac{\Delta H}{H}& =\frac{2 \Delta I}{I}+\frac{\Delta R}{R}+\frac{\Delta t}{t}\\ & =2 \times0.02+0.01+0.01=0.06=6 \% \end{aligned}
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