Percentage error in measuring the radius and mass of a solid sphere are 2% `&` 1% respectively. Then error in measurement of moment of inertia with respect to its diameter is :-

Options

A. `3% `
B. `6%`
C. `5%`
D. `4%`

Answer

C

Explanation

`I = 2//5 MR^(2)`
`(Delta I)/(I) = (Delta M)/(M) + 2(Delta R)/(R )`
`(Delta I)/(I) xx 100 = 1 % + 2 xx 2% = 5%`