Practice Newtonian Mechanics - CSIR-UGC NET Offered by Unacademy

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Newtonian Mechanics

Quick practice

Question 1 of 3

A particle of mass m moves in one-dimensional potential $V(x)=-a x^{2}+b x^{4}$ , where a and b are positive constants. The angular frequency of small oscillations about the minima of the potential is equal to:

A

$\pi\left(\frac{a}{2 b}\right)^{1 / 2}$

B

$\left(\frac{a}{m b}\right)^{1 / 2}$

C

$\left(\frac{a}{2 m}\right)^{1 / 2}$

D

$2\left(\frac{a}{m}\right)^{1 / 2}$