QJEEAdv16Phaad4: JEE Advanced 2016 Physics - Class 11 JEEAdv16Phaad4 Solution: A block with mass M is connected by a massless spring with…
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 cases, a particle with mass m( < M) is softly placed on the block after which they stick on each other. Which of the following statement(s) is(are) true about the motion after the mass m is placed on the mass M?
Multiple Choice Options
AThe amplitude of oscillation in the first case changes by a factor of Mm+M, whereas in the second case it remains unchanged.
BThe final time period of oscillation in both the cases is same
CThe total energy decreases in both the cases
DThe instantaneous speed at x0 of the combined masses decreases in both the cases
Step-by-Step Verified Solution
Case - I
Case - II
In case 1,
In case - 2,
in both cases.
Total energy decreases in first case whereas remain same in 2nd case. Instantaneous speed at x0 decreases in both cases.
