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A particle is moving on a circular path...

A particle is moving on a circular path with a constant speed 'v'. Its change of velocity as it moves from A to B is:

A

`2v sin (2theta)`

B

zero

C

`2v sin ((theta)/(2))`

D

`2 v cos ((theta)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
C

`|vec(v)|=|vec(v)|=v`
`Deltavec(v)=vec(v)-vec(v)`
`:.|Deltavec(v)|=sqrt(v^(2)+v^(2)-2v^(2)costheta)`
`=sqrt(2v^(2)(1-costheta))=2vsin""(theta)/(2)`
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