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A student measures that distance traversed in free fall of a body, initially at rest in given time. He uses this data to estimated `g`, the acceleration due to gravity. If the maximum percentage error in measurement of the distance and the time are `e_(1)` and `e_(2)`, respectively, the percentage error in the estimation of `g` is
A. `e_(2) - e_(1)`
B. `e_(1) + 2e_(2)`
C. `e_(1) + e_(2)`
D. `e_(1) - 2e_(2)`

1 Answer

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Correct Answer - B
(2) `h = (1)/(2) g t^(2) implies g = (2h)/(t^(2))`
`(Delta g)/(g) = (Delta h)/(h) + 2 (Delta t)/(2)`
`(Delta g)/(g) xx 100 = (Delta h)/(h) xx 100 + 2 (Delta t)/(t) xx 100`
`= e_(1) + 2 e_(2)`

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