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13. oscillations — Physics STD 11 Science — Question

Rajasthan BoardEnglish MediumSTD 11 SciencePhysics13. oscillations1 Mark
MCQ
Consider a one-dimensional potential $V(x)$ as shown in the figure below. A classical particle of mass $m$ moves under its influence and has total energy $E$ as shown below. The motion is
  • A
    non-periodic
  • B
    stationary
  • ✓
    periodic but not a simple harmonic
  • D
    simple harmonic
✓

Answer

Correct option: C.
periodic but not a simple harmonic
c
(c)

Given, potential energy curve closely represents potential energy of a simple harmonic oscillator $\left(U=\frac{1}{2} k x^2\right.$, shown in dotted line $)$

In region $r_1 < x < r_2$, the potential energy is less than total energy, so motion of particle in this region is oscillatory.

Also, the potential energy curve is not symmetric about $x=r_{\text {. }}$.

$\therefore$ Motion is not a simple harmonic.

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