The potential energy U of a particle in one dimensional motion varies with position x as shown. If E is the total energy of the particle, the region in which the particle can be found for the given energy is

The potential energy of a particle executing S H M is 25 J. when its displacement is half of amplitude. The total energy of the particle is

The potential energy of a particle execuring S.H.M. is 5 J, when its displacement is half of amplitude. The total energy of the particle be

The potential energy of a particle executing S.H.M. is 2.5 J, when its displacement is half of amplitude. The total energy of the particle will be

The kinetic energy K of a particle moving along x - axis varies with its position (x) as shown in figure The magnitude of force acting on particle at x = 9 mis

The total energy of a particle having a displacement x, executing simple harmonic motion is

The slope of kinetic energy displacement curve of a particle in motion is

The potential energy of a particle varies with position X according to the relation U(x) = [(X^3/3)-(3X^2/2)+2X] then

The figure below shows a graph of potential energy U(s) verses position x for a particle executing on edimensional motion along the x axis. The total mechanical energy of the system is indicated by the dashed line. At t=0 the particle is somewhere between points A and G. For later times choose the correct statement:-

The potential energy of a particle executing SHM varies sinusoidally with frequency f . The frequency of oscillation of the particle will be

A particle with total energy E moves in one direction in a region where, the potential energy is U The acceleration of the particle is zero, where,