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 ?
A. `g(m_(1)-m_(2))^(2)/((m_(1)+m_(2))` to be reduced
B. `g(m_(1)-m_(2))^(2)/((m_(1)+m_(2))` to be increased
C. `g(m_(1)-m_(2))/((m_(1)+m_(2))`to be increased
D. `g(m_(1)-m_(2))/((m_(1)+m_(2))`to be increased