The resistance R = V I , where V =(50 2) ;V and I=(20 0.2) ;A. Th… - Vidyadip

MCQ

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
$7$
✓
$5$

✓

Answer

Correct option: D.

$5$

d
$\frac{\Delta R }{ R } \times 100=\frac{\Delta V }{ V } \times 100+\frac{\Delta I }{ I } \times 100$

$\%$ 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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