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JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement

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

  1. A \(2\)
  2. B \(4\)
  3. C \(6\)
  4. D \(8\)
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Answer & Solution

Correct Answer

(D) \(8\)

Step-by-step Solution

Detailed explanation

\(E _{ H }= I ^{2} R \times t\) \(\frac{\Delta E }{ E } \times 100=\frac{2 \Delta I }{ I } \times 100+\frac{\Delta R }{ R } \times 100+\frac{\Delta T }{ T } \times 100\) \(=2 \times 2+1+3=8\)
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