A particle of mass m is moving in a potential well, for which the potential energy is given by `U(x) = U_(0)(1-cosax)` where `U_(0)` and a are positive constants. Then (for the small value of x)

A body of mass m is in a field where its potential energy is given by U = ax^(3) +bx^(4) , where a and b are positive constants. Then, [The body moves only along x ]

A particle of mass m is located in a potential field given by U (x) = U_(o) (1-cos ax) where U_(o) and a are constants and x is distance from origin. The period of small oscillations is

The potential energy of a particle of mass 'm' situated in a unidimensional potential field varies as U(x) = U_0 [1- cos((ax)/2)] , where U_0 and a are positive constant. The time period of small oscillations of the particle about the mean position-

The potential energy of a particle of mass 'm' situated in a unidimensional potential field varies as U(x) = U_0 [1- cos((ax)/2)] , where U_0 and a are positive constant. The time period of small oscillations of the particle about the mean position-

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.