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The velocity of the block B is:...

The velocity of the block B is:

A

`2ms^(-1)`

B

`3 ms^(-1)`

C

`1 ms^(-1)`

D

`6ms^(-1)`

Text Solution

Verified by Experts

The correct Answer is:
C
x + 2y = L (length of string)
`(dx)/(dt) + (2dy)/(dt) = 0 implies - (dy)/(dt) = (1)/(2) ((dx)/(dt)) v_(B) = (1)/(2) (2) = 1 ms^(-1)`
Applying tension trick,
`2T (V_(B)) - T (2) = 0 implies 2 T (V_(B)) = 2T :. V_(B) = 1ms^(-1)`
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