A block with mass M is connected by a massless spring with stiffness constant k to a…
Physics · JEE Advanced · NTA Exams — Oscillations and Waves
A block with mass M is connected by a massless spring with stiffness constant k to a rigid wall and moves without friction on a horizontal surface. The block oscillates with small amplitude A about an equilibrium position x0. Consider two cases : (i) when the block is at x0; and (ii) when the block is at x = x0 + A. In both the cases, a particle with mass m(<M) is softly placed on the block after which they stick to each other. Which of the following statement(s) is(are) true about the motion after the mass m is placed on the mass M?
- The amplitude of oscillation in the first case changes by a factor of
whereas in the second case it remains unchanged - The final time period of oscillation in both the cases is same
- The total energy decreases in both the cases
- The instantaneous speed at x0 of the combined masses decreases in both the cases.
Answer
(D) The instantaneous speed at x 0 of the combined masses decreases in both the cases.
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