Question

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

Answer 1

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