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Q. No.

Match the types of motion in List-I with their corresponding examples in List-II.
List-I List-II
(a) motion with constant speed (i) SHM
(b) motion with constant acceleration (ii) uniform circular motion
(c) oscillatory motion (iii) projectile motion
(d) random motion (iv) molecular motion in gas

Codes:
1. a - (iv), b - (ii), c - (iii), d - (i)
2. a - (i), b - (iii), c - (ii), d - (iv)
3. a - (ii), b - (iii), c - (i), d - (iv)
4. a - (ii), b - (iii), c - (iv), d - (i)
Q1:
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Subtopic:  Simple Harmonic Motion |
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The angular velocities of three bodies in simple harmonic motion are \(\omega_1, \omega_2, \omega_3\) with their respective amplitudes as \(A_1, A_2, A_3.\) 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. \(A_1^2 \omega_1^2=A_2^2 \omega_2^2=A^2\)
Q2:
 91% From NCERT 
Subtopic:  Simple Harmonic Motion |
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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

Q3:
 90% From NCERT 
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. \({2a \pi \over T}\)
Q4:
 90% From NCERT 
Subtopic:  Simple Harmonic Motion |
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Two equations of SHM are \(y_1 = a\sin(\omega t - \alpha)~\text{and}~y_2= b\cos(\omega t-\alpha).\) The phase difference between the two is:
1. \(0^\circ\)
2. \(\alpha^\circ\)
3. \(90^\circ\)
4. \(180^\circ\)

Q5:
 86% From NCERT 
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. 
Q6:
 86% From NCERT AIPMT - 2004
Subtopic:  Simple Harmonic Motion |
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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
Q7:
 82% From NCERT 
Subtopic:  Simple Harmonic Motion |
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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. \(2 \pi \sqrt{K}\)
Q8:
 76% From NCERT 
Subtopic:  Simple Harmonic Motion |
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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 \(a\).
Q9:
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Subtopic:  Simple Harmonic Motion |
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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. \(25~\text{Hz}\)
2. \(50~\text{Hz}\)
3. \(12.25~\text{Hz}\)
4. \(33.3~\text{Hz}\)

Q10:
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Subtopic:  Simple Harmonic Motion |
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