Aparticle of unit mass moves in a potential v(x)= ax^2+b/x^2 . where a and b are constnts. calcuate the angular frequency of small oscillations about the minimum of potential.

Explanation:

Given

Potential Energy is given by

And Force is given by

Particle will be at equilibrium when Potential Energy is either minimum or maximum

i.e.

So angular Frequency of small oscillation is given by

for

we get    

gas and liquid