Laws Of Motion

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 :