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The surface density (mass/area) of a cir...

The surface density (mass/area) of a circular disc of radius a depends on the distance from the centre as `rho(r)=A+Br.` Find its moment of inertia about the line perpendicular to the plane of the disc through its centre.

A

`2pia^(4)((A)/(4)+(aB)/(5))`

B

`2pia^(4)((aA)/(4)+(B)/(5))`

C

`2pia^(4)((A)/(4)+(B)/(5))`

D

`2pia^(4)((A)/(4)+(aB)/(5))`

Text Solution

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The correct Answer is:
D
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