Solveeit Logo

Question

Question: Two rings of radius R and nR made up of same material have the ratio of moment of inertia about an a...

Two rings of radius R and nR made up of same material have the ratio of moment of inertia about an axis passing through centre as 1 : 8. The value of n is :

A

2

B

22\sqrt { 2 }

C

4

D

12\frac { 1 } { 2 }

Answer

2

Explanation

Solution

For Ring, I = MR2 (l × 2pR) R2

Þ I = 2plR3 (where, l = linear density)

\ = Þ 18\frac { 1 } { 8 } = Þ n = 2