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The angular velocity of body changes fro...

The angular velocity of body changes from 1 revolution per 16 seconds to 1 revolution per second without applying an external torque. The ratio of radii of gyration in two cases is :

A

`1:4`

B

`4:1`

C

`16:1`

D

`1:16`

Text Solution

Verified by Experts

The correct Answer is:
B
Here `omega_(1)=2pixx(1)/(16)andomega_(2)=2pixx1`
Also `I_(1)omega_(1)=I_(2)omega_(2)orMK_(1)^(2)omega_(1)=MK_(2)^(2)omega_(2)`
`(K_(1))/(K_(2))=sqrt((omega_(2))/(omega_(1)))=sqrt((16)/(1))=(4)/(1)`
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