Two masses $M _ { 1 }$ and $M _ { 2 }$ are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass $M _ { 2 }$ is twice that of $M _ { 1 }$, the acceleration of the system is $a _ { 1 }$. When the mass $M _ { 2 }$ is thrice that of $M _ { 1 }$, the acceleration of the system is $a _ { 2 }$. The ratio $\frac { a _ { 1 } } { a _ { 2 } }$ will be (1) $\frac { 1 } { 3 }$ (2) $\frac { 2 } { 3 }$ (3) $\frac { 3 } { 2 }$ (4) $\frac { 1 } { 2 }$
Two masses $M _ { 1 }$ and $M _ { 2 }$ are tied together at the two ends of a light inextensible string that passes over a frictionless pulley. When the mass $M _ { 2 }$ is twice that of $M _ { 1 }$, the acceleration of the system is $a _ { 1 }$. When the mass $M _ { 2 }$ is thrice that of $M _ { 1 }$, the acceleration of the system is $a _ { 2 }$. The ratio $\frac { a _ { 1 } } { a _ { 2 } }$ will be\\
(1) $\frac { 1 } { 3 }$\\
(2) $\frac { 2 } { 3 }$\\
(3) $\frac { 3 } { 2 }$\\
(4) $\frac { 1 } { 2 }$