When a particle in linear $S.H.M.$ completes two oscillations,its phase increases by

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

The ratio of the maximum acceleration to the maximum velocity of a simple harmonic oscillator is

For a particle showing motion under the force $F = -5(x - 2)$,the motion is ...........

$A$ particle is moving with constant angular velocity along the circumference of a circle. Which of the following statements is true?

$A$ $S.H.M.$ is represented by $x = 5\sqrt{2} (\sin 2\pi t + \cos 2\pi t).$ The amplitude of the $S.H.M.$ is .... $cm$.