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A block with mass M is connected by a massless spring with stiffness constant k...

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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 Xo Consider two cases i when the block is at xo and ii when the block is at x xo 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 2016 A The amplitude of oscillation in the first case changes by a factor of whereas in the M m M second case it remains unchanged B The final time period of oscillation in both the cases is same C The total energy decreases in both the cases D The instantaneous speed at xo of the combined masses decreases in both the cases

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