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

प्रतिरोध \(\mathrm{R}=\frac{\mathrm{V}}{\mathrm{I}}\), जहाँ \(\mathrm{V}=(200 \pm 5) \mathrm{V}\) एवं \(\mathrm{I}=(20 \pm 0.2) \mathrm{A}\) है। \(\mathrm{R}\) के मापन में प्रतिशत त्रुटि _______ है।

  1. A \(3.5 \%\)
  2. B \(7 \%\)
  3. C  \(3 \%\)
  4. D  \(5.5 \%\)
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Answer & Solution

Correct Answer

(A) \(3.5 \%\)

Step-by-step Solution

Detailed explanation

\(\mathrm{R}=\frac{\mathrm{V}}{1}\) According to error analysis \( \frac{\mathrm{dR}}{\mathrm{R}}=\frac{\mathrm{dV}}{\mathrm{V}}+\frac{\mathrm{dI}}{\mathrm{I}} \) \( \frac{\mathrm{dR}}{\mathrm{R}}=\frac{5}{200}+\frac{0.2}{20} \) \( \frac{\mathrm{dR}}{\mathrm{R}}=\frac{7}{200} \)…
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