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A pulley is attached to one arm of a bal...

A pulley is attached to one arm of a balance and a string passed around it carries two masses `m_(1)` and `m_(2)` . The pulley is provided with a clamp due to which `m_(1)` and `m_(2)` do not move . On removing the clamp `m_(1)` and `m_(2)` start moving . How much counterweight is to be reduced or increased to restore balance ?

A

`(m_(1)^(2)g)/(m_(1)+m_(2))`

B

`((m_(1)+m_(2))^(2)g)/(m_(1)+m_(2))`

C

`(m_(2)^(2)g)/((m_(1)+m_(2))^(2))`

D

zero

Text Solution

Verified by Experts

The correct Answer is:
B
When theh clamp is removed, the pull on the left arm is `(4m_(1)m_(2)g)/(m_(1)+m_(2))`
When `m_(1)` and `m_(2)` do not move, the pull is `(m_(1)+m_(2))g`
`DeltaW=((m_(1)-m_(2))^(2))/(m_(1)-m_(2))`
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