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JEE PHYSICS MCQ: OSCILLATIONS
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Medium
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Analyzing
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Assertion (A): The bob of a simple pendulum is a ball full of water. If a fine hole is made at the bottom of the ball, then the time period will no more remain constant.
Reason (R): The time period of simple pendulum does not depend upon mass.
Reason (R): The time period of simple pendulum does not depend upon mass.
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Correct option: B
If Both A R are true but R is not correct explanation of A
Option B (If Both A & R are true but R is not correct explanation of A) is correct because while the time period does change, it is due to the changing effective length of the pendulum, not directly because the mass is changing.
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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. 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
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