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
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
- [JEE MAIN 2021]
- A
$A \sqrt{\frac{M-m}{M}}$
- B
$A \sqrt{\frac{M}{M+m}}$
- C
$A \sqrt{\frac{M+m}{M}}$
- D
$A \sqrt{\frac{M}{M-m}}$
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- [JEE MAIN 2014]
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