JEE Mains · Physics · STD 11 - Oscillations
- JEE Mains 2021
- Medium
- MCQ
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
Pick an option to check your answer.
Answer & Solution
Correct Answer
(B) \(A \sqrt{\frac{M}{M+m}}\)
Step-by-step Solution
Detailed explanation
Momentum of system remains conserved.
\(p_{i}=p_{i}\)
\(MA \omega=( m + M ) A ^{\prime} \omega^{\prime}\)
\(M A \sqrt{\frac{k}{M}}=(m+M) A^{\prime} \sqrt{\frac{k}{m+M}}\)
\(A ^{\prime}= A \sqrt{\frac{ M }{ M + m }}\)
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