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What is the fractional error in g calcul...

What is the fractional error in g calculated form `T=2pisqrt(l//g)` ? Given that fractional errors in T and l are `+-x` and `+-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=2pisqrt((l)/(g))rArrg=(4pi^(2)l)/(T^(2))`
`rArr(Deltag)/(g)=(Deltal)/(l)+2(DeltaT)/(T)=2x+y`
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