A particle located in one dimensional potential field has potential energy function`U(x)=(a)/(x^(2))-(b)/(x^(3))`, where a and b are positive constants. The position of equilibrium corresponds to x equal to

A particle located in a one-dimensional potential field has its potential energy function as U(x)=(a)/(x^4)-(b)/(x^2) , where a and b are positive constants. The position of equilibrium x corresponds to

A particle located in a one-dimensional potential field has its potential energy function as U(x)(a)/(x^4)-(b)/(x^2) , where a and b are positive constants. The position of equilibrium x corresponds to

A particle of mass m is located in a one dimensional potential field where potential energy of the particle has the form u(x) = a/x^(2)-b/x) , where a and b are positive constants. Find the period of small oscillations of the particle.

Solve the foregoing problem if the potential energy has the form U(x)=a//x^(2)-b//x, , where a and b are positive constants.

A particle of mass m is located in a one dimensional potential field where potential energy is given by V(x) = A(1- cos Px) , where A and P are constant . The period of small oscillations of the particle is