JEE Advanced 2015 Paper 2 Physics Q3

Physics · Rotation

Problem

The densities of two solid spheres

A

and

B

of the same radii

R

vary with radial distance

r

\rho_A(r)=k\left(\dfrac rR\right)

and

\rho_B(r)=k\left(\dfrac rR\right)^5

, respectively, where

k

is a constant. The moments of inertia of the individual spheres about axes passing through their centres are

I_A

and

I_B

, respectively. If

I_B/I_A=n/10

, the value of

n