Questions in Oscillations

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Which one of the following statements is true for the speed $v$ and the acceleration $a$ of a particle executing simple harmonic motion
What is the maximum acceleration of the particle doing the SHM $y=2\sin \left[ \frac{\pi t}{2}+\varphi \right]$where $2$ is in cm
A particle executes linear simple harmonic motion with an amplitude of 2 cm. When the particle is at 1 cm from the mean position the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is
In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of
The total energy of a particle executing S.H.M. is proportional to
A particle executes simple harmonic motion along a straight line with an amplitude $A$. The potential energy is maximum when the displacement is
A particle is vibrating in a simple harmonic motion with an amplitude of 4 cm. At what displacement from the equilibrium position, is its energy half potential and half kinetic
For a particle executing simple harmonic motion, the kinetic energy $K$ is given by $K={{K}_{o}}{{\cos }^{2}}\omega t$. The maximum value of potential energy is
The potential energy of a particle with displacement $X$ is $U(X)$. The motion is simple harmonic, when ($K$ is a positive constant)
The kinetic energy and potential energy of a particle executing simple harmonic motion will be equal, when displacement (amplitude = $a$) is

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