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A student measures that distance travers...

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_1 + 2e_2`

B

`e_1+ e_2 `

C

`e_1 - 2e_2 `

D

`e_2 - e_1`

Text Solution

Verified by Experts

The correct Answer is:
A
`h= (1)/(2) "gt"^(2) ` (for free fall)
`g= (2h)/(t^(2)) rArr (Delta g)/(g) = (Delta h)/(h) + (2Delta t)/(t) = e_1 + 2e_2`
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Knowledge Check

  • The percentage error in measurements of length and time period is 2% and 1% respectively . The percentage error in measurements of 'g' is

    A
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    B
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    `a-2b`
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    `2a-b`
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  • The heat dissipated in a resistance can be obtained by the measurement of resistance, current and time. If the maximum precentage error in the mesurement of these quanties is %,2% and 1% respectively. The maximum percentage error in the determination of the dissipated heat is -

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