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

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