JEE Advanced2016_S2 - Competishun – Live JEE & NEET Courses and Exam Prep

JEE Advance2016

Paper-2

Multiple correct answers - Select all that apply

Question

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 $\mathrm{x}_0$. Consider two cases: (i) when the block is at $\mathrm{x}_0$; and (ii) when the block is at $x=x_0+A$. In both the cases, a particle with mass $m(

Select ALL correct options:

The amplitude of oscillation in the first case changes by a factor of $\sqrt{\frac{M}{m+M}}$, whereas in the

The final time period of oscillation in both the case is same

The total energy decreases in both the cases

The instantaneous speed at $\mathrm{x}_0$ of the combined masses decreases in both the cases

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

⚠ Partially correct. Some answers are missing.

Solution