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Two circular disc of same mass and thick...

Two circular disc of same mass and thickness are made from metals having densities `rho_(1)` and `rho_(2)` respectively. The ratio of their moment of inertia about an axis passing through its centre is,

A

`rho_(1): rho_(2)`

B

`rho_(1)rho_(2):1`

C

`rho_(2):rho_(1)`

D

`1 : rho_(1)rho_(2)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(I_(1))/(I_(2))=(R_(1)^(2))/(R_(2)^(2))`
and `rho_(1)=(m_(1))/(A_(1)) " " rho_(2)=(m_(2))/(A_(2))`
`therefore (rho_(1))/(rho_(2))=(A_(2))/(A_(1))=(R_(2)^(2))/(R_(1)^(2))`
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Knowledge Check

  • Two discs have same mass and thickness. Their materials are of densities rho_(1) and rho_(2) . The ratio of their moment of inertia about central axis will be

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