The equation of motion of a particle is given by `dp/dt+mo^2n=0`, where p is the momentum and n is the position.Then ,the particle

Options

A. Moves along a straight line
B. Moves along parabola
C. Executes simple harmonic motion
D. Falls freely under gravity

Answer

C

Explanation

`dp/dt=` Rate of momentum `=F`
`F=-momega^2n`
`Falpha-n`
Thus the particle will execute SHM.