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JEE PHYSICS MCQ: OSCILLATIONS
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Statement-1: A particle is moving along -axis. The resultant force acting on it is given by where and are both positive constants. The motion of this particle is not S.H.M.
Statement-2: In S.H.M. resultant force must be proportional to the displacement from mean position.
Statement-2: In S.H.M. resultant force must be proportional to the displacement from mean position.
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Correct option: D
Statement-1 is false, Statement-2 is true
Option D (Statement-1 is false, Statement-2 is true) is correct because the force equation indicates SHM about a shifted equilibrium, and the definition of SHM requires proportionality to displacement from the *mean* position.
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Assertion: A particle executing simple harmonic motion comes to rest at the extreme positions.
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Reason: The resultant force on the particle is zero at these positions. A particle is subjected simultaneously to two SHM’s one along the -axis and the other along the -axis. The two vibrations are in phase and have unequal amplitudes. The particle will execute A particle is executing SHM with amplitude . When the PE of a particle is one-fourth of its maximum value during the oscillation, its displacement from the equilibrium position will be The displacement, velocity and acceleration in a simple harmonic motion are related as the Assertion: Angular velocity of earth around sun is lesser than the angular velocity of moon about earth.
Reason: Time taken by moon revolve around earth is less than time taken by earth to revolve around sun. A particle is executing . At a displacement its potential energy is and at a displacement its potential energy is . The potential energy of the particle at displacement is