Home
Class 11
PHYSICS
A particle free to move along the (x - a...

A particle free to move along the (x - axis) hsd potential energy given by `U(x)= k[1 - exp(-x^2)] for -o o le x le + o o`, where (k) is a positive constant of appropriate dimensions. Then.

A

at points away from the origin, the particle is in unstable equilibrium

B

for any finite non-zero value of x, there is a force directed away from the origin

C

its total mechanical energy is `(k)/(2)`, it has its minimum kinetic energy at origin

D

for small displacement from x=0, motion is SHM

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • SIMPLE HARMONIC MOTION

    BITSAT GUIDE|Exercise BITSAT Archives|12 Videos

  • SCALARS AND VECTORS

    BITSAT GUIDE|Exercise All Questions|34 Videos

  • TRANSMISSION

    BITSAT GUIDE|Exercise All Questions|38 Videos

Similar Questions

Explore conceptually related problems

A particle free to move along the x- axis has potential energy given by U(x) = k[1 - e^(-x^(2))] for -oo le x le + oo , where k is a positive constant of appropriate dimensions. Then select the incorrect option

A particle free to move along the X- axis has potential energy given by U(X)=k[1-exp(-X^(2))] of appropriate dimensions. Then-

A partical of mass m is moving along the x-axis under the potential V (x) =(kx^2)/2+lamda Where k and x are positive constants of appropriate dimensions . The particle is slightly displaced from its equilibrium position . The particle oscillates with the the angular frequency (omega) given by

The potential energy of a particle of mass m free to move along the x-axis is given by U=(1//2)kx^2 for xlt0 and U=0 for xge0 (x denotes the x-coordinate of the particle and k is a positive constant). If the total mechanical energy of the particle is E, then its speed at x=-sqrt(2E//k) is

A particle of mass (m) is executing oscillations about the origin on the (x) axis. Its potential energy is V(x) = k|x|^3 where (k) is a positive constant. If the amplitude of oscillation is a, then its time period (T) is.