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COMEDK · Physics · 1. Mathematics in Physics

The heat generated in a wire depends on the resistance, current and time. If the error in measuring the above are \(1 \%, 2 \%\) and \(1 \%\), respectively, the maximum error in measuring the heat is

  1. A \(8 \%\)
  2. B \(6 \%\)
  3. C \(18 \%\)
  4. D \(12 \%\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(6 \%\)

Step-by-step Solution

Detailed explanation

\(\begin{aligned} & \text { } H=i^2 R t \\ & \therefore \% \text { error in } H=2(\% \text { error in } i)+(\% \text { error in } R)+(\% \\ & \text { error in } t) \\ & \qquad=2(2) \%+1 \%+1 \%=6 \%\end{aligned}\)