Questions in Oscillations

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A tunnel has been dug through the centre of the earth and a ball is released in it. It will reach the other end of the tunnel after
The maximum speed of a particle executing S.H.M. is $1m/s$ and its maximum acceleration is $1.57m/se{{c}^{2}}$. The time period of the particle will be
The motion of a particle executing S.H.M. is given by $x=0.01\sin 100\pi (t+.05)$, where x is in metres and time is in seconds. The time period is
The kinetic energy of a particle executing S.H.M. is 16 J when it is in its mean position. If the amplitude of oscillations is 25 cm and the mass of the particle is 5.12 kg, the time period of its oscillation is
The acceleration of a particle performing S.H.M. is $12cm/se{{c}^{2}}$ at a distance of 3 cm from the mean position. Its time period is
To make the frequency double of an oscillator, we have to
What is constant in S.H.M.
If a simple harmonic oscillator has got a displacement of $0.02 m$ and acceleration equal to $2.0m{{s}^{-2}}$ at any time, the angular frequency of the oscillator is equal to
The equation of a simple harmonic motion is $X=0.34\cos (3000t+0.74)$ where $X$ and $t$ are in mm and sec. The frequency of motion is
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