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A solid body rotates about a stationary ...

A solid body rotates about a stationary axis so that its angular velocity depends on the rotational angle `(phi)` as `omega= omega_(0) - kphi` where `omega_(0)` and K are positive constant, At the moment t=0, `phi= 0,` the time depen dence of rotation angle is

A

`Komega_(0)e^(-Kt)`

B

`(omega_(0))/(K)e^(-KT)`

C

`(omega_(0))/(K)(1-e^(-KT))`

D

`(K)/(omega_(0))(e^(-Kt)-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
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