In the arrangement shown below, pulleys are mass-less and friction-less and threads are in-extensible. Block of mass `m_(1)` will remain at rest if :

Options

A. `(1)/( m_(1))= ( 1)/(m_(2)) + ( 1)/( m_(3))`
B. `m_(1) = m_(2) +m_(3)`
C. `( 4)/(m_(1)) = ( 1)/( m_(2)) + (1)/ ( m_(3))`
D. `( 1)/( m_(3) ) = ( 2)/( m_(2)) + ( 3)/( m_(1))`

Answer

C