If a particle in SHM has a time period of \(0.1\) s and an amplitude of \(6\) cm, then its maximum velocity will be:
1. \(120 \pi\) cm/s 

2. \(0.6 \pi\) cm/s 

3. \(\pi\) cm/s

4. \(6\) cm/s

Subtopic:  Simple Harmonic Motion |
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The angular velocities of three bodies in simple harmonic motion are ω1, ω2, ω3 with their respective amplitudes as A1, A2, A3. If all the three bodies have the same mass and maximum velocity, then:

1. \(A_1 \omega_1=A_2 \omega_2=A_3 \omega_3\)
2. \(A_1 \omega_1^2=A_2 \omega_2^2=A_3 \omega_3^2\)
3. \(A_1^2 \omega_1=A_2^2 \omega_2=A_3^2 \omega_3\)
4. \(A_1^2 \omega_1^2=A_2^2 \omega_2^2=A^2\)
Subtopic:  Simple Harmonic Motion |
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An SHM has an amplitude \(a\) and  a time period \(T.\) The maximum velocity will be:
1. \({4a \over T}\)       
2.  \({2a \over T}\)
3. \({2 \pi \over T}\)
4. \({2a \pi \over T}\)  

Subtopic:  Simple Harmonic Motion |
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Which one of the following statements is true for the speed 'v' and the acceleration 'a' of a particle executing simple harmonic motion?

1. The value of a is zero whatever may be the value of 'v'.
2. When 'v' is zero, a is zero.
3. When 'v' is maximum, a is zero.
4. When 'v' is maximum, a is maximum. 
Subtopic:  Simple Harmonic Motion |
 86%
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AIPMT - 2004
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In simple harmonic motion, the ratio of acceleration of the particle to its displacement at any time is a measure of:

1. Spring constant 2. Angular frequency
3. (Angular frequency)2  4. Restoring force
Subtopic:  Simple Harmonic Motion |
 81%
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The equation of motion of a particle is \({d^2y \over dt^2}+Ky=0 \) where \(K\) is a positive constant. The time period of the motion is given by: 

1. \(2 \pi \over K\) 2. \(2 \pi K\)
3. \(2 \pi \over \sqrt{K}\) 4. \(2 \pi \sqrt{K}\)
Subtopic:  Simple Harmonic Motion |
 75%
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Displacement versus time curve for a particle executing SHM is shown in the figure. Choose the correct statement/s.

1. Phase of the oscillator is the same at t =0 s and t = 2 s.
2. Phase of the oscillator is the same at t =2 s and t=6 s.
3. Phase of the oscillator is the same at t = 1 s and t=7 s.
4. Phase of the oscillator is the same at t=1 s and t=5 s.

1. 1, 2 and 4 2. 1 and 3
3. 2 and 4 4. 3 and 4
Subtopic:  Simple Harmonic Motion |
 72%
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The motion of a particle varies with time according to the relation 
 \(y= a\sin\omega t+ a\cos \omega t\). Then:

1. The motion is oscillatory but not SHM
2. The motion is SHM with an amplitude \(a\sqrt{2}\)
3. The motion is SHM with an amplitude \(\sqrt{2}\) 
4. The motion is SHM with an amplitude \(a\)
Subtopic:  Simple Harmonic Motion |
 72%
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The velocity-time diagram of a harmonic oscillator is shown in the figure given below. The frequency of oscillation will be:
                

1. 25 Hz
2. 50 Hz
3. 12.25 Hz
4. 33.3 Hz

Subtopic:  Simple Harmonic Motion |
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Which of the following relationships between the acceleration '\(a\)' and the displacement '\(x\)' of a particle involves simple harmonic motion?
1. \(a =   0 . 7 x\)
2. \(a =   - 200 x^{2} \)
3. \(a =   - 10 x\)
4. \(a =   100   x^{3}\)

Subtopic:  Simple Harmonic Motion |
 73%
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