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Two particles A and B separated by a dis...

Two particles `A` and `B` separated by a distance `2R` are moving counter clockwise along the same circular path of radius `R` each with uniform speed `v`. At time `t=0`, `A` is given a tangential acceleration of magnitude `a = (32v^(2))/(25piR)` in the same direction of initial velocity

A

The time lapse for the two bodies to collide is `(6piR)/(5V)`

B

The angle coverd by A is `(9pi)/(4)`

C

Angular velocity of A is `(11V)/(5R)`

D

Radial acceleration of A is `(289upsilon^(2))/(5R)`

Text Solution

Verified by Experts

The correct Answer is:
B
As when they
collide `1/2((32v^(2))/(25piR))t^(2)=piR,t(5piR)/(4V)`
angle covered by `A`
`theta=pi+(vt)/R,theta=(9pi)/4`
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