Oscillations - Result Question 26

29. A particle of mass $m$ oscillates with simple harmonic motion between points $x_1$ and $x_2$, the equilibrium position being $O$. Its potential energy is plotted. It will be as given below in the graph.

[2003]

(a)

$x_1 \leadsto C_2(b)$

(c)

(d)

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Answer:

Correct Answer: 29. (b)

Solution:

  1. (b) Potential energy $\propto(\text{ Amplitude })^{2}$

P.E.is maximum at maximum distance.

$\propto(\text{ Displacement })^{2}$

P.E. is zero at equilibrium point.

P.E. curve is parabolic.