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NEET 2010 (AIPMT, Mains) · Errors in Measurement

Errors in Measurement question from NEET 2010 (AIPMT, Mains)

Q107NEET 2010 · AIPMT · MAINSMedium

Errors in Measurement

A student measures the distance traversed in free fall of a body, initially at rest, in a given time. He uses this data to estimate g, the acceleration due to gravity. If the maximum percentage errors in measurement of the distance and the time are e1 and e2 respectively, the percentage error in the estimation of g is

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Answer: (b)

Free fall from rest: $h = \frac{1}{2}g t^2 \Rightarrow g = \frac{2h}{t^2}$ .
$\frac{\Delta g}{g} = \frac{\Delta h}{h} + 2\frac{\Delta t}{t} = e_1 + 2e_2$
So the answer is (b) $e_1 + 2e_2$ .

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