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

1.        2.  

3.       4.  

Concept Questions :-

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.  π3

2.  2π3

3.  π6

4.  π2

Concept Questions :-

Simple harmonic motion
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The motion of a particle varies with time according to the relation y =a sin ωt+a cos ωt. Then

1.  The motion is oscillatory but not SHM

2.  The motion is SHM with amplitude a2

3.  The motion is SHM with amplitude 2

4.  The motion is SHM with amplitude a

Concept Questions :-

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

Concept Questions :-

Simple harmonic motion
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The equation of the displacement of two particles making SHM are represented  by y1 = a sin ωt + ϕ & y2 = a cos ωt The phase difference of the velocities of the two  particles is 

1.  π2 + ϕ  

2.  -ϕ  

3.  ϕ  

4.  ϕ - π2

Concept Questions :-

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

Concept Questions :-

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

Concept Questions :-

Damped oscillation
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A particle is executing SHM with amplitude A and time period T. If at t = 0, it is at origin mean position then find the time instant, whenit covers a distance equal to 5A2  

1.  T12  

2.  5T12  

3.  7T12  

4.  2T3

Concept Questions :-

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 systemat moon where acceleration due to gravity is 16th of the value of earth's surface?

1.  16 seconds  

2.  26seconds 

3.  2 seconds 

4.  12 seconds

Concept Questions :-

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) 12s

(2) 16s

(3) 14s

(4) 13s

Concept Questions :-

Simple harmonic motion
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