Q. No.Match the types of motion in List I with their corresponding examples in List II.
Choose the correct option from the given ones:
| 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 |
Choose the correct option from the given ones:
| 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) |
Subtopic: Simple Harmonic Motion |
92%
From NCERT
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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. | \(A_1^2 \omega_1^2=A_2^2 \omega_2^2=A^2\) |
Subtopic: Simple Harmonic Motion |
91%
From NCERT
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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
Subtopic: Simple Harmonic Motion |
91%
From NCERT
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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. \({2a \pi \over T}\)
1. \({4a \over T}\)
2. \({2a \over T}\)
3. \({2 \pi \over T}\)
4. \({2a \pi \over T}\)
Subtopic: Simple Harmonic Motion |
91%
From NCERT
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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. \(180^\circ\)
1. \(0^\circ\)
2. \(\alpha^\circ\)
3. \(90^\circ\)
4. \(180^\circ\)
Subtopic: Simple Harmonic Motion |
86%
From NCERT
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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%
From NCERT
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 |
82%
From NCERT
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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 |
76%
From NCERT
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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%
From NCERT
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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. \(33.3~\text{Hz}\)
Subtopic: Simple Harmonic Motion |
74%
From NCERT
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