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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

`T=2pisqrt((l)/(g))rArrg=(4pi^(2)l)/(T^(2))`
`(Deltag)/(g)=(Deltal)/(l)+(2DeltaT)/(T)=y+2x`
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