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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The amplitude of a damped oscillator becomes one-third in 10 minutes and 1n times of the original value in 30 minutes. The value of n is:

1.  81

2.  3

3.  9

4.  27

Subtopic:  Damped Oscillations (OLD NCERT) |
 72%
From NCERT
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A particle is executing SHM with time period T. The time taken by it to travel from mean position to 12 times its amplitude is equal to

1.  T6

2.  T12

3.  T8

4.  T4

Subtopic:  Simple Harmonic Motion |
 80%
From NCERT
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A block of mass 2 kg is hanging with a massless spring and the spring is stretched by 40 cm. If the block is pulled down and released, then the period of oscillation is: (here, g = 10 m/s2)

1.  35π s

2.  52π s

3.  25π s

4.  53π s

Subtopic:  Combination of Springs |
 83%
From NCERT
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A spring is attached vertically to the ceiling of a lift and the lower end of spring is connected with a block of mass \(2~\text{kg}\). If the lift starts accelerating upwards with an acceleration \(2~\text{m/s}^2,\) then find the amplitude of SHM, while the spring constant is \(100~\text{N/m}\):
1. \(8~\text{cm}\)

2. \(1~\text{cm}\)

3. \(2~\text{cm}\)

4. \(4~\text{cm}\)

Subtopic:  Combination of Springs |
 62%
From NCERT
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The motion of the particle is started at t = 0 and the equation of motion is given by x = 8 sin100t + π6, where x is in cm and t is in seconds. When will the particle come to rest for the first time?

1.  π300 s

2.  π200 s

3.  π100 s

4.  π400 s

Subtopic:  Simple Harmonic Motion |
 59%
From NCERT
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What will be the frequency of oscillation of a simple pendulum, if the length of the pendulum is equal to the radius of earth?

1.  12πgR

2.  1πgR

3.  12π2gR

4.  12π3gR

Subtopic:  Angular SHM |
 56%
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The curve between the potential energy \((U)\) and displacement \((x)\) is shown. Which of the oscillation is about the mean position, \(x = 0?\)

1. 2.
3. 4.
Subtopic:  Energy of SHM |
 87%
From NCERT
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