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A boy and a block, both of same mass, ar...

A boy and a block, both of same mass, are suspended at the same horizontal level, from each end of a light string that moves over a frictionless pulley as shown. The boy start moving upward with an acceleration `2.5m//s^(2)` relative the rope. If the block is to travel a total distance 10m before reaching at the pulley, the time taken by the block in doing so is equal to:

A

`sqrt(8(s`

B

`4s`

C

`(10)/(sqrt(2))s

D

`8s`

Text Solution

Verified by Experts

The correct Answer is:
B
Acceleration of boy and block will be same equal to `1.25m//s^(2) w.r.t.` ground. Hence
`10=(1)/(2)(1.25)t^(2)`
`rArr t=4sec.`
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