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Question

If the length of cylinder is measured to be $4.28 c m$ with an error of $0.01 c m$ , the percentage error in the measured length is nearly

A

$0.4 %$

B

$0.5 %$

C

$0.2 %$

D

$0.1 %$

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Solution

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Correct option is C)

$Step 1 - Given that:$
length, $l = 4.28 c m$
$△ l = 0.01 c m$

$Step 2 - Percentage error is given by$
$% e r r o r = \frac{△ l}{l} \times 100$

$= \frac{0 . 0 1}{4 . 2 8} \times 100$

$= 0.234 \approx 0.2 %$

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