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A body of mass m is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3 s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5 s. The value of m in kg is

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Important Questions on Simple Harmonic Motion

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A particle executes linear simple harmonic motion with an amplitude of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is
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A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m s-2 at a distance of 5 m from the mean position. The time period of oscillation is
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A mass M, attached to a horizontal spring, executes SHM with amplitude A1. When the mass M passes through its mean position, then a smaller mass m is placed over it and both of them move together with amplitude A2. The ratio of A1A2 is
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A particle moves with simple harmonic motion in a straight line. In first τ s after starting from rest it travels a distance a and in the next τ s it travels 2a in the same direction, then

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For a simple pendulum, a graph is plotted between its kinetic energy KE and potential energy PE against its displacement d. Which one of the following represents these correctly? (The graphs are schematic and not drawn to scale)
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A particle performs simple harmonic motion with amplitude A. Its speed is trebled at the instant that it is at distance 2A3 from equilibrium position. The new amplitude of the motion is
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A particle is executing simple harmonic motion with a time period T.  At time t=0, it is at its position of equilibrium. The kinetic energy-time graph of the particle will look like :
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A silver atom in a solid oscillates in simple harmonic motion in some direction with a frequency of 1012 s-1 . What is the force constant of the bonds connecting one atom with the other? (Mole wt. of silver,=108 g mol-1 and Avogadro number =6.02×1023)