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JEE PHYSICS MCQ: OSCILLATIONS
1
Medium
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Understanding
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For a body executing SHM
A. potential energy is always equal to its kinetic energy.
B. average potential and kinetic energy over any given time interval are always equal.
C. sum of the kinetic and potential energy at any point of time is constant.
D. average kinetic energy is one time period is equal to average potential energy in one time period.
Choose the most appropriate option from the options given below.
A. potential energy is always equal to its kinetic energy.
B. average potential and kinetic energy over any given time interval are always equal.
C. sum of the kinetic and potential energy at any point of time is constant.
D. average kinetic energy is one time period is equal to average potential energy in one time period.
Choose the most appropriate option from the options given below.
View answer and explanation
Correct option: A
(C) and (D)
Option A ((C) and (D)) is correct because for SHM, the sum of kinetic and potential energy is constant, and the average kinetic and potential energies over one period are equal.
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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