Thickness of a pencil measured by using a screw gauge (least count . $001 c m$ ) comes out to be $0.802 c m$ . The percentage error in the measurement is :

0.125 %

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2.43 %

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4.12 %

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2.14 %

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Solution

The correct option is B $0.125 %$
Least count screw gause is $= 0.001 c m$

The error will be thickness, $t = 0.802 \pm 0.001$

$Δ t$ is $0.001 c m$

Percentage error $= \frac{Δ t}{t} \times 100 %$

Percentage error $= \frac{0.001}{0.802} \times 100 %$

Percentage error $= 0.125 %$

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