JEE Mains · Physics · STD 11 - 1. units,dimensions and measurement
The resistance \(R =\frac{ V }{ I },\) where \(V =(50 \pm 2) \;V\) and \(I=(20 \pm 0.2)\;A.\) The percentage error in \(R\) is \(x\%\). The value of \(x\) to the nearest integer is .........
- A \(3\)
- B \(6\)
- C \(7\)
- D \(5\)
Answer & Solution
Correct Answer
(D) \(5\)
Step-by-step Solution
Detailed explanation
\(\frac{\Delta R }{ R } \times 100=\frac{\Delta V }{ V } \times 100+\frac{\Delta I }{ I } \times 100\) \(\%\) error in \(R =\frac{2}{50} \times 100+\frac{0.2}{20} \times 100\) \(\%\) error in \(R =4+1\) \(\%\) error in \(R =5 \%\)
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