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Physics
The resistance R = (V/I) where V = (100 ± 5) V and I = (10 ± 0.2) A. The percentage error in R is
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Q. The resistance $R = \frac{V}{I}$ where $V = (100 \pm 5) V $ and $I = (10 \pm 0.2) A.$ The percentage error in R is
KEAM
KEAM 2007
Physical World, Units and Measurements
A
5.2%
10%
B
4.8%
13%
C
7%
65%
D
3%
9%
Solution:
$R =\frac{ v }{ I }$
$\frac{\Delta R }{ R } \times 100=\frac{\Delta V }{ V } \times 100+\frac{\Delta I }{ I } \times 100$
$=5 \%+2 \%=7 \%$