To estimate `g` (from `g = 4 pi^(2)(L)/(T^(2))`), error in measurement of `L` is `+- 2%` and error in measurement of `Tis +- 3%` The error in estimated `g` will be

Options

A. `pm8%`
B. `pm 6%`
C. `pm 3%`
D. `pm5%`

Answer

A

Explanation

`(A) g=4pi^(2) l/(T^(2))`
`(Deltal)/l=2% =pm2xx10^(-2)`
`(DeltaT)/T =pm 3% =pmxx10^(-2)`
`rArr (Deltag)/g=(Deltal)/l+(2DeltaT)/T=2xx3xx10^(-2)=8xx10^(-2)=pm 8 %`