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TS EAMCET · Physics · Mathematics in Physics

The error in the measurement of resistance, when \((10 \pm 0.5)\) A current passing through it produces a potential difference of \((100 \pm 6) \mathrm{V}\) across it is

  1. A \(1 \%\)
  2. B \(5.5 \%\)
  3. C \(6.5 \%\)
  4. D \(11 \%\)
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Answer & Solution

Correct Answer

(D) \(11 \%\)

Step-by-step Solution

Detailed explanation

Since \(R=\frac{V}{I}\) so, error in the measurement of resistance \(\frac{\Delta \mathrm{R}}{\mathrm{R}} \times 100=\frac{\Delta \mathrm{V}}{\mathrm{V}} \times 100+\frac{\Delta \mathrm{I}}{\mathrm{I}} \times 100\) Given current \(=(10 \pm 0.5) \mathrm{A}\) and potential…
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