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Q. No.If \(T_1,T_2,T_3,T_4\) and \(T_5\) represent the tension in the string of a simple pendulum when the bob is at the left extreme, right extreme, mean, any intermediate left and any intermediate right positions, respectively. Then, which of the following relations are correct?
(A)
\(T_1=T_2\)
(B)
\(T_3>T_2\)
(C)
\(T_4>T_3\)
(D)
\(T_3=T_4\)
(E)
\(T_5>T_2\)
Choose the most appropriate answer from the options given below:
1.
(A), (B) and (C) only
2.
(B), (C) and (D) only
3.
(A), (B) and (E) only
4.
(C), (D) and (E) only
Subtopic: Â Angular SHM |
 68%
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NEET - 2024
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If the mass of a bob in a simple pendulum is increased to thrice its original mass and its length is made half its original length, then the new time period of oscillation is \( \dfrac{x}{2}\) times its original time period. The value of \(x\) is:
| 1. | \(\sqrt2\) | 2. | \(2\sqrt3\) |
| 3. | \(4\) | 4. | \(\sqrt3\) |
Subtopic: Â Angular SHM |
 68%
From NCERT
NEET - 2024
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If \(x = 5 \mathrm {sin }\left(\pi t+ {\dfrac {\pi} 3}\right)~\text m\) represents the motion of a particle executing simple harmonic motion, the amplitude and time period of motion, respectively are:
1. \(5~\text m, 2~\text s\)
2. \(5~\text {cm}, 1~\text s\)
3. \(5~\text m, 1~\text s\)
4. \(5~\text {cm}, 2~\text s\)
1. \(5~\text m, 2~\text s\)
2. \(5~\text {cm}, 1~\text s\)
3. \(5~\text m, 1~\text s\)
4. \(5~\text {cm}, 2~\text s\)
Subtopic: Â Simple Harmonic Motion |
 72%
From NCERT
NEET - 2024
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A particle executing simple harmonic motion with amplitude \(A\) has the same potential and kinetic energies at the displacement:
| 1. | \(2\sqrt{A}\) | 2. | \(\dfrac{A}{2}\) |
| 3. | \(\dfrac{\mathrm{A}}{\sqrt{2}}\) | 4. | \(A\sqrt{2}\) |
Subtopic: Â Energy of SHM |
 79%
From NCERT
NEET - 2024
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The two-dimensional motion of a particle, described by \(\vec{r}=(\hat{i}+2\hat{j}) A~\text{cos}(\omega t)\) is a/an:
Choose the correct answer from the options given below:
| (A) | parabolic path |
| (B) | elliptical path |
| (C) | periodic motion |
| (D) | simple harmonic motion |
Choose the correct answer from the options given below:
| 1. | (B), (C), and (D) only |
| 2. | (A), (B), and (C) only |
| 3. | (A), (C), and (D) only |
| 4. | (C) and (D) only |
Subtopic: Â Types of Motion |
 53%
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NEET - 2024
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In an oscillating spring mass system, a spring is connected to a box filled with the sand. As the box oscillates, sand leaks slowly out of the box vertically so that the average frequency \(\omega~(t)\) and average amplitude \(A~(t)\) of the system changes with time \(t.\) Which of the following options systemically depicts these changes correctly?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Â Spring mass system |
From NCERT
NEET - 2025
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Two identical point masses \(P\) and \(Q,\) suspended from two separate massless springs of spring constant \(k_1\) and \(k_2,\) respectively, oscillate vertically. If their maximum speeds are the same, the ratio \(\left(\dfrac{A_Q}{A_P} \right)\) of the amplitude \(A_Q\) of mass \(Q \) to the amplitude \(A_P\) of mass \(P\) is:
| 1. | \(\sqrt{\dfrac{k_2}{k_1}}\) | 2. | \(\sqrt{\dfrac{k_1}{k_2}}\) |
| 3. | \(\dfrac{k_2}{k_1}\) | 4. | \(\dfrac{k_1}{k_2}\) |
Subtopic: Â Spring mass system |
From NCERT
NEET - 2025
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A simple pendulum oscillating in air has a period of \(\sqrt3\) s. If it is completely immersed in non-viscous liquid, having density \(\left(\dfrac14\right)^{\text{th}}\) of the material of the bob, the new period will be:
| 1. | \(2\sqrt3\) s | 2. | \(\dfrac{2}{\sqrt3}\) s |
| 3. | \(2\) s | 4. | \(\dfrac{\sqrt 3}{2}\) s |
Subtopic: Â Angular SHM |
 53%
From NCERT
NEET - 2023
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The displacement-time \((x\text-t)\) graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at \(t=2\) s is:
| 1. | \(-\dfrac{\pi^2}{16} ~\text{ms}^{-2}\) | 2. | \(\dfrac{\pi^2}{8}~ \text{ms}^{-2}\) |
| 3. | \(-\dfrac{\pi^2}{8} ~\text{ms}^{-2}\) | 4. | \(\dfrac{\pi^2}{16} ~\text{ms}^{-2}\) |
Subtopic: Â Simple Harmonic Motion |
 66%
From NCERT
NEET - 2023
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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 |
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: Â Energy of SHM |
 85%
From NCERT
NEET - 2022
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