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:  Energy of SHM |
Level 3: 35%-60%
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Match List-I with List-II.
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
Choose the correct answer from the options given below:
(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:  Energy of SHM |
 86%
Level 1: 80%+
NEET - 2022
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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:  Energy of SHM |
 55%
Level 3: 35%-60%
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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:  Energy of SHM |
 58%
Level 3: 35%-60%
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