For a particle P performing S.H.M., when displacement is 'x', potential energy and restoring force acting on it is denoted by 'E' and 'F' respectively. The relation between x, E and F is

Step-by-step solution

For a particle performing Simple Harmonic Motion (S.H.M.), the restoring force F acting on it at a displacement x is given by: F = -kx The potential energy E of the particle at displacement x is given by: E = 1 2 kx^2 Dividing the expression for potential energy by the expression for restoring force, we get: E F = 1 2 kx^2 -kx E F = - x 2 Rearranging the terms, we obtain: 2E F = -x 2E F + x = 0 Answer: 2 E F + x = 0