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JEE PHYSICS MCQ: OSCILLATIONS
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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
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Correct option: D
Option D () is correct because the potential energy at the combined displacement is the square of the sum of the individual displacements, related to their respective potential energies.
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Assertion: A particle executing simple harmonic motion comes to rest at the extreme positions.
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. is the time period of simple pendulum on the earth's surface. Its time period becomes when taken to a height (equal to earth's radius) above the earth's surface. Then, the value of will be:
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. is the time period of simple pendulum on the earth's surface. Its time period becomes when taken to a height (equal to earth's radius) above the earth's surface. Then, the value of will be: