If two circular disks of the weight and thickness are made from metals having different densities. Which disk, if either will have the larger moment of inertia about its central axis.

Explanation

Here, `m_(1) = m_(2) :. V_(1) rho_(1) = V_(2) rho_(2)`
`(pi r_(1)^(2)) t. rho_(1) = (pir_(2)^(2))t.rho_(2)`
`(rho_(1))/(rho_(2)) = (r_(2)^(2))/(r_(1)^(2))` …(i)
Now, `(I_(1))/(I_(2)) = ((1)/(2) m_(1) r_(1)^(2))/((1)/(2) m_(2) r_(2)^(2)) = (r_(1)^(2))/(r_(2)^(2)) ( :'m_(1) = m_(2))`
`(I_(1))/(I_(2)) = (rho_(2))/(rho_(1))` ..using (i)
`:. I prop (1)/(rho)`
The disc of material with lower density will have moment of inertia.