For a simple harmonic oscillator, a velocity-time diagram is shown. The angular frequency of oscillation is:

                

1.  242 rad/s

2.  25π4 rad/s

3.  25 rad/s

4.  25π rad/s

Subtopic:  Simple Harmonic Motion |
 64%
From NCERT
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In an S.H.M, when the displacement is one-fourth of the amplitude, the ratio of total energy to the potential energy is 

1.  16: 1

2.  1: 16

3.  1: 8

4.  8: 1

Subtopic:  Energy of SHM |
 79%
From NCERT
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A particle executing S.H.M. Its displacement x varies with time t as x=8sin4t+6cos4t.  The maximum  velocity of the particle will be:

1.  20 unit

2.  10 unit

3.  40 unit

4.  5 unit

Subtopic:  Simple Harmonic Motion |
 79%
From NCERT
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The amplitude of oscillation for a particle executing S.H.M with angular frequency πrad/s and maximum acceleration 5π2 m/s2 is

1.  25 cm

2.  25 m

3.  5 cm

4.  5 m

Subtopic:  Angular SHM |
 72%
From NCERT
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Which of the following statements is true for an ideal simple pendulum?

1. The expression for the time period is true only for the oscillation of infinitely small amplitude.
2. The motion of the bob is rotatory.
3. The buoyancy of air has an appreciable effect on the motion of the bob.
4. All of these.
Subtopic:  Simple Harmonic Motion |
From NCERT
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A mass of 30 gm is attached with two springs having spring constants 100 N/m and 200 N/m and other ends of springs are attached to rigid walls as shown in the given figure. The angular frequency of oscillation is: (Ground is smooth)

                      

1.  1002π rad/s 

2.  100π rad/s

3.  100 rad/s

4.  200π rad/s

Subtopic:  Combination of Springs |
 60%
From NCERT
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If a bob of the simple pendulum having negative charge q is made to oscillate in a uniform electric field acting vertically upward direction, then its time period:

1.  Increases

2.  Decreases

3.  No effect of the electric field

4.  Decreases or increases

Subtopic:  Simple Harmonic Motion |
 61%
From NCERT
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A simple pendulum of length l and bob of mass m is executing S.H.M with amplitude A. The maximum tension in the string will be

1.  mgll + A

2.  mgl2 + A2l2

3.  mgl2l2 + A2

4.  mgl + Al

Subtopic:  Angular SHM |
 57%
From NCERT
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Find the percentage change in time period if the length of a simple pendulum is increased by 3% 

1.  3%

2.  6%

3.  1.5%

4.  2.5%

Subtopic:  Simple Harmonic Motion |
 85%
From NCERT
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A disc is oscillating about a horizontal axis passing through its rim and perpendicular to the plane of the disc. If the radius of the disc is R, then the frequency of oscillation is

1.  2π3g2R

2.  2π2R3g

3.  12π3R2g

4.  12π2g3R

Subtopic:  Angular SHM |
 67%
From NCERT
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