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Two discs have same mass and thickness. ...

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

A

`pi_(1):pi_(2)`

B

`pi_(1)pi_(2):1`

C

`1:pi_(1)pi_(2)`

D

`pi_(2):pi_(1)`

Text Solution

Verified by Experts

The correct Answer is:
D
`M=piR^(2)rho, M` and `t` same `R^(2)rho=`constant
or `R^(2)prop1//rho`
Again `I=l1/2MR^(2)` or `IpropR^(2)` or `lprop1/(rho)` or `I prop1/(rho)`
`:. (I_(1))/(I_(2))=(P_(2))/(P_(1))`
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Knowledge Check

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