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Let the moment of inertia of a hollo...

Let the moment of inertia of a hollow cylinder of length 30 cm (inner radius 10 cm and outer radius 20 cm ), about its axis be I. the radius of a thin cylinder of the same about its axis is also I is :

A

14cm

B

16cm

C

18cm

D

12cm

Text Solution

Verified by Experts

The correct Answer is:
B
`(m(r_(1))^(2))/(2)+(m(r_(2))^(2))/(2)=mk^(2)`
`(m(20^(2)+10^(2)))/(2)=mk^(2)`
`K=sqrt((400+100)/(2))`
`implies K=sqrt(250)`
`implies K=5sqrt(10)` cm .
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