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Q.

A particle moves in a circle uniformly such that it completes a circle in 2 sec. During half a turn its centripetal acceleration changes by 6 m/s2. Then:

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a

the radius of the circle is 3π2m

b

the magnitude of change in velocity during  1sec is 3πm/s

c

the tangential velocity of the particle is 3πm/s

d

the particle is moving in anticlockwise sense as seen from above

answer is A.

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Detailed Solution

ω=2π2=πrad/sΔac=2ω2R=2π2R=6R=3π2v=ωR=3πSense of rotation cannot be find out with given information.ΔV=2v=6πm/s
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A particle moves in a circle uniformly such that it completes a circle in 2 sec. During half a turn its centripetal acceleration changes by 6 m/s2. Then: