Questions in Oscillations

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A particle is executing simple harmonic motion with frequency $f$. The frequency at which its kinetic energy change into potential energy is
There is a body having mass m and performing S.H.M. with amplitude $a$. There is a restoring force $F=-Kx$, where $x$ is the displacement. The total energy of body depends upon
The total energy of a particle executing S.H.M. is 80 J. What is the potential energy when the particle is at a distance of 3/4 of amplitude from the mean position
In a simple harmonic oscillator, at the mean position
Displacement between maximum potential energy position and maximum kinetic energy position for a particle executing S.H.M. is
When a mass $M$ is attached to the spring of force constant $k$, then the spring stretches by $l$. If the mass oscillates with amplitude $l$, what will be maximum potential energy stored in the spring
The potential energy of a simple harmonic oscillator when the particle is half way to its end point is (where E is the total energy)
A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy (K.E.) and total energy (T.E.) are measured as a function of displacement x. Which of the following statements is true
If $\bar{E}$. and $\bar{U}$ denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is
The total energy of a particle, executing simple harmonic motion is

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