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A simple harmonic oscillator has amplitude A. If the kinetic energy of oscillator is one-fourth of the total energy, then the displacement is,

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Important Questions on Oscillations

MEDIUM
MHT-CET
IMPORTANT
A loaded vertical spring executes simple harmonic oscillations with period of 4 s. The difference between kinetic energy and potential energy of this system oscillates with a period of,
HARD
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IMPORTANT
A particle is executing SHM with amplitude A. At displacement, x=-A4, force acting on the particle is F, potential energy of the particle is PE, velocity of particle is v, x=A2.
EASY
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IMPORTANT
The bob of simple pendulum of mass m and total energy E will have maximum linear momentum equal to

 
EASY
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IMPORTANT
If two springs S1 and S2 of force constants k1 and k2, respectively, are stretched by the same force, it is found that more work is done on spring S1 than one spring  S2.

Assertion: If stretched by the same amount, work done on S1 will be more than that on S2.

Reason:k1<k2.

EASY
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IMPORTANT
At the mean position, the potential energy of a particle performing S.H.M. is, 
 
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IMPORTANT

W denotes the total energy of a particle in linear S.H.M. At a point equidistant from the mean position and extremity of the path of the particle,

EASY
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IMPORTANT
A simple pendulum is oscillating with amplitude A and angular frequency ω. At displacement x from the mean position, the ratio of kinetic energy to potential energy is
EASY
MHT-CET
IMPORTANT
The ratio of kinetic energy to the potential energy of a particle executing SHM at a distance equal to half its amplitude, the distance being measured from its equilibrium position is