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Two discs one of density 7.2 g cm^(-3) a...

Two discs one of density 7.2 g `cm^(-3)` and other of density 8.9 g`cm^(-3)` are of same mass and thickness. Their M.I. are in the ratio of :

A

`(7.2)/(8.9)`

B

`(1)/(8.9xx7.2)`

C

`(8.9)/(7.2)`

D

`((8.9xx7.2))/(1)`

Text Solution

Verified by Experts

The correct Answer is:
C
`(I_(1))/(I_(2))=((1)/(2)M_(1)R_(1)^(2))/((1)/(2)M_(2)R_(2)^(2))=(R_(1)^(2))/(R_(2)^(2))=(rho_(2))/(rho_(1))=(8.9)/(7.2)`
As `piR_(1)^(2)drho_(1)=piR_(2)^(2)drho_(2)`
implies `(R_(1)^(2))/(R_(2)^(2))=(rho_(2))/(rho_(1))`
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