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What is the fractional error in g calcul...

What is the fractional error in g calculated from `T = 2 pi sqrt((l)/(g))` ? Given that fractional error in `T` and `l` are `pm x` and `pm y` respectively.

A

`x+y `

B

`x-y`

C

`2x+y`

D

`2x-y`

Text Solution

Verified by Experts

The correct Answer is:
C
`T = 2pi sqrt((l)/(g)) rArr g = (4pi^(2) l)/(T^(2))`
`(Delta g)/(g) = (Delta l)/(l) + (2Delta T)/(T) = y = 2x`
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