The variation of acceleration of a particle executing SHM with displacement x is

1.        2.

3.       4.

Subtopic:  Simple Harmonic Motion |
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A particle is subjected to two simple harmonic motions in the same direction having equal amplitudes and equal frequency. If the resulting amplitude is equal to the amplitude of individual motions, the phase difference between them is:

1.  $\frac{\mathrm{\pi }}{3}$

2.  $\frac{2\mathrm{\pi }}{3}$

3.  $\frac{\mathrm{\pi }}{6}$

4.  $\frac{\mathrm{\pi }}{2}$

Subtopic:  Simple Harmonic Motion |
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The motion of a particle varies with time according to the relation . Then

1.  The motion is oscillatory but not SHM

2.  The motion is SHM with amplitude $a\sqrt{2}$

3.  The motion is SHM with amplitude $\sqrt{2}$

4.  The motion is SHM with amplitude a

Subtopic:  Simple Harmonic Motion |
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If a particle is executing SHM, with an amplitude A, the distance moved and the displacement of the body in a time equal to its period are

1.  2A, A

2.  4A, 0

3.  A, A

4.  0, 2A

Subtopic:  Simple Harmonic Motion |
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(1)

(2)

(3)

(4)

Subtopic:  Simple Harmonic Motion |
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The displacement of a particle executing SHM is given by y = 0.25 (sin 200t) cm. The maximum speed of the particles is:

1.  200 cm/sec

2.  100 cm/sec

3.  50 cm/sec

4.  0.25 cm/sec

Subtopic:  Simple Harmonic Motion |
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which of the following figure represents damped harmonic motion

1.  i and ii

2.  iii and iv

3.  i, ii, iii, and iv

4.  i, and  iv

Subtopic:  Damped Oscillations |
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1.

2.

3.

4.  $\frac{2\mathrm{T}}{3}$

Subtopic:  Simple Harmonic Motion |
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The time period of a spring mass system at the surface of earth is 2 second. What will be the time period of this system at moon where acceleration due to gravity is $\frac{1}{6}\mathrm{th}$ of the value of earth's surface?

1.

2.

3.

4.

Subtopic:  Simple Harmonic Motion |
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A particle undergoes SHM with a time period of 2 seconds. In how much time will it travel from its mean position to a displacement equal to half of its amplitude?

(1) $\frac{1}{2}s$

(2) $\frac{1}{6}s$

(3) $\frac{1}{4}s$

(4) $\frac{1}{3}s$

Subtopic:  Simple Harmonic Motion |
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