EWT | Academic Question

Questions
Question (1)
QN0038519

The total energy of a particle executing S.H.M. is proportional to

  • (A)

    displacement from equilibrium position

  • (B)

    frequency of oscillation

  • (C)

    velocity in equilibrium position

  • (D)

    square of amplitude of motion

Correct Answer: D
Explanation:

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Question (2)
QN0038520

The potential energy of a particle  executing S.H.M. is given by          

  • (A)

  • (B)

  • (C)

  • (D)

    constant

Correct Answer: A
Explanation:

P.E. of body in S.H.M. at an instant,

If the displacement,  then

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Question (3)
QN0038521

If  is the amplitude of SHM, then K.E. is equal to the P.E. at ........ distance from the mean position.

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

If displacement of particle is , then

P.E.

If

Which of the following is true 

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Question (4)
QN0038522

Which of the following is true about total mechanical energy of SHM ?

  • (A)

    It is zero at meat position.

  • (B)

    It is zero at extreme position.

  • (C)

    It is always zero.

  • (D)

    It is never zero.

Correct Answer: D
Explanation:

Total mechanical energy is constant throughout the motion and equals .

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Question (5)
QN0038523

The total mechanical energy of a harmonic oscillator is given as

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: C
Explanation:

Kinetic energy,  Potential energy,

Total mech. energy

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Question (6)
QN0038524

In S.H.M. the ratio of kinetic energy at mean position to the potential energy when the displacement is half of the amplitude is        

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

K. E.  and P. E.  At mean position, . E.

At, P. E.

Ratio

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Question (7)
QN0038525

Starting from the origin a body oscillates simple harmonically with a period of . After what time will its kinetic energy be  of the total energy?        

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

K.E. of a body undergoing SHM is given by,

and

Given K.E.  T.E.

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Question (8)
QN0038526

A body executes simple harmonic motion. The potential energy (P.E.), the kinetic energy (K.E.) and total energy (T.E.) are measured as a function of displacement . Which of the following statement is true?   

  • (A)

    P.E. is maximum when .

  • (B)

    K.E. is maximum when .

  • (C)

    T.E. is zero when .

  • (D)

    K.E. is maximum when  is maximum.

Correct Answer: B
Explanation:

, at .

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Question (9)
QN0038527

If  and  denote the average kinetic and the average potential energies respectively of mass describing a simple harmonic motion, over one period, then the correct relation is

  • (A)

  • (B)

  • (C)

  • (D)

Correct Answer: A
Explanation:

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Question (10)
QN0038528
  1. What do you conclude from the graph about the frequency of KE, PE and SHM ?                

  • (A)

    Frequency of and  is double the frequency of SHM.

  • (B)

    Frequency of  and  is four times the frequency SHM.

  • (C)

    Frequency of PE is double the frequency of K.E.

  • (D)

    Frequency of  and  is equal to the frequency of SHM.

Correct Answer: A
Explanation:

and  completes two vibration in a time during which SHM completes one vibration. Thus frequency of  or KE is double than that of SHM.

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