- 1(current)
Q. No.Given below are two statements:
| 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. |
Subtopic: Â Energy of SHM |
Level 3: 35%-60%
Hints
Match List-I with List-II.
Choose the correct answer from the options given below:
| List-I (\(x \text{-}y\) graphs) |
List-II (Situations) |
||
| (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) |
Subtopic: Â Energy of SHM |
 86%
Level 1: 80%+
NEET - 2022
Hints
A body is performing SHM, then its:
| (a) | average total energy per cycle is equal to its maximum kinetic energy. |
| (b) | average kinetic energy per cycle is equal to half of its maximum kinetic energy. |
| (c) | mean velocity for a complete cycle is equal to \(\dfrac{2}{\pi}\) times of its maximum velocity. |
| (d) | root mean square velocity is \(\dfrac{1}{\sqrt{2}}\) times of its maximum velocity. |
Choose the correct alternatives:
1. (a), (b), (d)
2. (a), (c)
3. (b), (d)
4. (b), (c), (d)
Subtopic: Â Energy of SHM |
 56%
Level 3: 35%-60%
Hints
For a particle executing SHM the displacement \(x \) is given by, \(A\cos \omega t.\) Identify the graph which represents the variation of potential energy (P.E.) as a function of time \(t\) and displacement \(x.\)
1. I, III
2. II, IV
3. II, III
4. I, IV
Subtopic: Â Energy of SHM |
 58%
Level 3: 35%-60%
Hints
- 1(current)
Q. No.
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