If the diameter of fly wheel is increases by 1%, then increase in its M.I. about an axis passing through centre and perpendicular to the plane will be

Options

A. `1 %`
B. `0.5 %`
C. `2 %`
D. `4 %`

Answer

C

Explanation

`I=MR^(2)`
Differentiating we get,
`(dI)/(I)= 0+2 (dR)/(R )`
`therefore (dI)/(I)xx 100 = 2((dR)/(R ))xx100`
`= 2xx1% xx 100 = 2%`