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))sD. `8s`

A boy and a block, both of same mass, are suspended at the same horizo

1.	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))sD. `8s`
Answer» Correct Answer - 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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