In the given figure, a mass $M$ is attached to a horizontal spring which is fixed on one side to a rigid support. The spring constant of the spring is $k$. The mass oscillates on a frictionless surface with time period $T$ and amplitude $A$. When the mass is in equilibrium position, as shown in the figure, another mass $m$ is gently fixed upon it. The new amplitude of oscillation will be
  • A$A \sqrt{\frac{M-m}{M}}$
  • B$A \sqrt{\frac{M}{M+m}}$
  • C$A \sqrt{\frac{M+m}{M}}$
  • D$A \sqrt{\frac{M}{M-m}}$
JEE MAIN 2021, Medium
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