Assertion (A): | In simple harmonic motion, the motion is to and fro and periodic. |
Reason (R): | In simple harmonic motion, the particle's velocity is given by \(v=\omega \sqrt {A^2-x^2},\) (where \(x\) is the displacement of the particle). |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
1. | 2. | ||
3. | 4. |
List-I (\(x \text{-}y\) graphs) |
List-II (Situations) |
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(a) | (i) | Total mechanical energy is conserved | |
(b) | |
(ii) | Bob of a pendulum is oscillating under negligible air friction |
(c) | |
(iii) | Restoring force of a spring |
(d) | |
(iv) | Bob of a pendulum is oscillating along with air friction |
(a) | (b) | (c) | (d) | |
1. | (iv) | (ii) | (iii) | (i) |
2. | (iv) | (iii) | (ii) | (i) |
3. | (i) | (iv) | (iii) | (ii) |
4. | (iii) | (ii) | (i) | (iv) |
Assertion (A): | Acceleration of a particle in SHM is always zero. |
Reason (R): | Two SHMs must have the same phase if the amplitude is same. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | The time period of a pendulum, on a satellite orbiting the earth, is infinity. |
Reason (R): | Time-period of a pendulum is inversely proportional to \(\sqrt g\). |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | The graph of potential energy and kinetic energy of a particle in SHM with respect to position is a parabola. |
Reason (R): | Potential energy and kinetic energy do not vary linearly with position. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | When a girl sitting on a swing stands up, the periodic time of the swing decreases. |
Reason (R): | When a girl stands up, more weight is felt on the string of the swing. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | The graph between velocity and displacement for a simple harmonic motion is an ellipse. |
Reason (R): | Velocity does not change uniformly with displacement in simple harmonic motion. |
1. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
3. | (A) is True but (R) is False. |
4. | Both (A) and (R) are False. |
Assertion (A): | If a pendulum is suspended in a lift and lift is falling freely, then its time period becomes infinite. |
Reason (R): | Free falling body has acceleration equal to acceleration due to gravity. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Assertion (A): | When a pendulum is made to oscillate on the surface of the moon, its time period increases. |
Reason (R): | Moon is much smaller as compared to Earth. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |