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JEE PHYSICS MCQ: OSCILLATIONS
1
Hard
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Understanding
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Given below are two statements:
Statement I A second’s pendulum has a time period of .
Statement II It takes precisely one second to move between the two extreme positions.
In the light of the above statements, choose the correct answer from the option given below.
Statement I A second’s pendulum has a time period of .
Statement II It takes precisely one second to move between the two extreme positions.
In the light of the above statements, choose the correct answer from the option given below.
View answer and explanation
Correct option: B
Statement I is false but statement II is true.
Statement B is correct because Statement I is false (second's pendulum has a period of 2s) and Statement II is true (time between extremes is half the period, or 1s).
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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