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.

208561-q

  • [JEE MAIN 2022]
  • A

    $\frac{1}{3}$

  • B

    $\frac{2}{3}$

  • C

    $\frac{3}{2}$

  • D

    $\frac{1}{2}$

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  • [JEE MAIN 2022]