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The damped harmonic oscillator is represented by the energy-time graph given as

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Important Questions on Oscillations

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Among the following displacement-time graphs, the one that represent damped harmonic oscillation is ____
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Resonant vibration is a special case of

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The equation md2ydt2+bdydt+ω2y=0 represents the equation of motion for a
 
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The amplitude of a damped oscillator decreases to 0.9 times its original magnitude in 5 s. In another 10 s it will decrease to α times its original magnitude, then α is equal to
 
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The decrease in amplitude with time of an under damped oscillator is
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Two simple pendulums of length 5 m and 20 m, respectively, are given small linear displacement in one direction at the same time. They will again be in the phase when the pendulum of shorter length has completed ___ oscillations.
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A particle executes Simple Harmonic Motion (SHM) on a straight line path. The amplitude of oscillation is 2 cm. When the displacement of the particle from the mean position is 1 cm, The numerical value of magnitude of acceleration is equal to the numerical value of magnitude of velocity. Then, find out the frequency of SHM.
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At a particular position, the velocity of a particle in SHM with amplitude a is 32 times at its mean position. In this position, its displacement from the mean position is