Q.

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  is

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a

e2e1

b

e1+2e2

c

e1+e2

d

e12e2

answer is B.

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Detailed Solution

In g=lnh2lnt

(Δgg×100)max=Δhh×100+2Δtt×100=e1+2e2


 

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