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JEE PHYSICS MCQ: OSCILLATIONS
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A light spiral spring supports a 200 g weight at its lower end. It oscillates up and down with a period of 1 s. How much weight (in gram) must be removed from the lower end to reduce the period to 0.5 s?
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Correct option: C
150
Option C (150) is correct because the period of oscillation of a spring-mass system is proportional to the square root of the mass, and the calculation shows that 150g must be removed to halve the period.
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Assertion: A particle executing simple harmonic motion comes to rest at the extreme positions.
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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