A particle of mass m moves in the one-dimensional potential V(x)=\frac{\alpha }{3}{x}^{3}+\frac{\beta }{4}{x}^{4} where \alpha ,\beta >0. One of the equilibrium points is x=0. The angular frequency of small oscillations about the other equilibrium point is

Oscillations — CSIR Net PYQ (Question 3)

A Oscillations previous-year question (PYQ) from Classical Mechanics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 3 of 23 · 3.5 marks

A particle of mass

m

moves in the one-dimensional potential

V (x) = \frac{α}{3} x^{3} + \frac{β}{4} x^{4}

where

α, β > 0

. One of the equilibrium points is

x = 0

. The angular frequency of small oscillations about the other equilibrium point is

1 $\frac{2 α}{3 m β}$
2 $\frac{α}{m β}$
3 $\frac{α}{12 m β}$
4 $\frac{α}{24 m β}$

Correct answer: Option 2

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This Oscillations PYQ is part of the Classical Mechanics section of CSIR Net. Browse more Oscillations questions or join the PhysicsByAaryan live batch for full conceptual coverage.