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Class 11 Physics Practice Test: Oscillations - Energy in Simple Harmonic Motion
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Avg score: 88% • Most missed: “A particle is performing a SHM. If its mass is doubled keeping the amplitude and…”

A body with simple harmonic motion (S.H.M.) has potential energy from its displacement from the mean position. From its velocity, it also possesses kinetic energy. During the oscillatory motion, these energies vary, but their sum remains constant, provided no dissipative forces are present.

Class 11 Physics Practice Test: Oscillations - Energy in Simple Harmonic Motion
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8 Questions

1. If the total energy of a particle in SHM is 200J, the value of kinetic energy at an instant can be 220J. True or False?
2. Consider a particle undergoing an SHM of amplitude A & angular frequency w. What is the magnitude of displacement from the mean position when kinetic energy is equal to the magnitude of potential energy?
3. A particle is performing a SHM. If its mass is doubled keeping the amplitude and force constant the same, total energy will become how many times the initial value?
4. A particle is undergoing SHM. If its potential energy is given by: U = kx2. What will be the value of x for potential energy to be 1/3rd of kinetic energy? Assume k is force constant.
5. What is the time period of kinetic energy of a particle in SHM,if the time period of SHM is 4s?
6. The graph given below represents energy as a function of position. What is the energy of the particle in SHM at x = +1? Given mass of the particle is 2kg, time period =2s, A=1m.
7. A particle is in SHM. When displacement is ‘a‘ potential energy is 8J. When displacement is ‘a‘ potential energy is 18J. What will be the potential energy when displacement is ‘a+b’?
8. If the potential energy of the particle is given by: U = x2-8x+16. It starts from rest from x=0. What will be its maximum speed during SHM? Assume the mass of the particle to be 1kg.

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