Home
Class 12
PHYSICS
A particle of mass m is moving in a pote...

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

`2pisqrt((U_0)/(ma^2))`

B

`2pisqrt((mU_0)/(a^2))`

C

`2pisqrt((a^2)/(mU_0))`

D

`2pisqrt((m)/(U_0a^2))`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

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 in a unidirectional potential field have potential energy U(x)=alpha+2betax^(2) , where alpha and beta are positive constants. Find its time period of oscillations.

A particle of mass m moves in a one dimensional potential energy U(x)=-ax^2+bx^4 , where a and b are positive constant. The angular frequency of small oscillation about the minima of the potential energy is 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 of mass m is executing osciallations about the origin on the x-axis with amplitude A. its potential energy is given as U(x)=alphax^(4) , where alpha is a positive constant. The x-coordinate of mass where potential energy is one-third the kinetic energy of particle is

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 partical of mass m is located in a unidimensionnal potential field where potentical energy of the partical depends on the coordinates x as: U (x) = U_(0) (1 - cos Ax), U_(0) and A constants. Find the period of small oscillation that the partical performs about the equilibrium position.

A body of mass m is situated in a potential field U(x)=U_(0)(1-cosalphax) when U_(0) and alpha are constant. Find the time period of small oscialltions.

A particle of mass m moving along x-axis has a potential energy U(x)=a+bx^2 where a and b are positive constant. It will execute simple harmonic motion with a frequency determined by the value of

A particle of mass m moving along x-axis has a potential energy U(x)=a+bx^2 where a and b are positive constant. It will execute simple harmonic motion with a frequency determined by the value of