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 change in counter mass has to be made to restore balance ?

Options

A. `((m_(1)+m_(2))^(2))/(m_(1)-m_(2))`
B. `((m_(1)-m_(2))^(2))/(m_(1)+m_(2))`
C. `2m_(1)-m_(2)`
D. `m_(1)-m_(2)`

Answer

B