HARD
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The potential energy of a simple harmonic oscillator at mean position is . If its mean K.E. is , its total energy will be,
(a)
(b)
(c)
(d)

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Important Questions on Simple Harmonic Motion
EASY
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The total energy of a harmonic oscillator of mass is . If its potential energy at mean position is , its . at the mean position will be:

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A horizontal spring is connected to a mass . It executes simple harmonic motion. When the mass passes through its mean position, an object of mass is put on it and the two move together. The ratio of frequencies before and after will be:

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Two particles and of equal masses are suspended from two massless springs of spring constants and , respectively. If the maximum velocities, during oscillations are equal, the ratio of amplitudes of and is

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The period of oscillation of a simple pendulum of length suspended from the roof of a vehicle which moves without friction down an inclined plane of inclination is given by

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A simple pendulum has time period . The point of suspension is now moved upward according to the relation where is the vertical displacement. The time period now becomes . The ratio of is

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Two waves are producing interference. Then, the resultant intensity is,

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Assertion: pendulum clocks go slow in summer and fast in winter.
Reason: The length of the pendulum used in the clock increases in summer.

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Assertion: A simple pendulum is mounted on a truck that moves with constant velocity The time period of the pendulum will increase.
Reason: The effective length of the pendulum will decrease.
