# In a simple pendulum, the period of oscillation $$T$$ is related to length of the pendulum $$L$$ as: 1. $$\frac{L}{T}= \text{constant}$$ 2. $$\frac{L^2}{T}= \text{constant}$$ 3. $$\frac{L}{T^2}= \text{constant}$$ 4. $$\frac{L^2}{T^2}= \text{constant}$$

Subtopic:  Angular SHM |
84%
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A pendulum has time period T. If it is taken on to another planet having acceleration due to gravity half and mass 9 times that of the earth, then its time period on the other planet will be:

 1 $$\sqrt{\mathrm{T}}$$ 2 $$T$$ 3 $$\mathrm{T}^{1 / 3}$$ 4 $$\sqrt{2} \mathrm{~T}$$
Subtopic:  Angular SHM |
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From NCERT
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A simple pendulum hanging from the ceiling of a stationary lift has a time period $$T_1$$. When the lift moves downward with constant velocity, then the time period becomes $$T_2$$. It can be concluded that:
 1 $$T_2 ~\text{is infinity}$$ 2 $$T_2>T_1$$ 3 $$T_2 Subtopic: Angular SHM | 61% From NCERT To view explanation, please take trial in the course. NEET 2025 - Target Batch Hints To view explanation, please take trial in the course. NEET 2025 - Target Batch If the length of a pendulum is made 9 times and mass of the bob is made 4 times, then the value of time period will become: 1. 3T 2. 3/2T 3. 4T 4. 2T Subtopic: Angular SHM | 82% From NCERT To view explanation, please take trial in the course. NEET 2025 - Target Batch Hints To view explanation, please take trial in the course. NEET 2025 - Target Batch A particle is executing simple harmonic motion with frequency f. The frequency at which its kinetic energy changes into potential energy, will be: 1. f/2 2. f 3. 2 f 4. 4 f Subtopic: Energy of SHM | 60% From NCERT To view explanation, please take trial in the course. NEET 2025 - Target Batch Hints To view explanation, please take trial in the course. NEET 2025 - Target Batch 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}$$

Subtopic:  Simple Harmonic Motion |
90%
From NCERT
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Two simple harmonic motions of angular frequency 100 rad s -1 and 1000 rad ${s}^{-1}$ have the same displacement amplitude. The ratio of their maximum acceleration will be:
1. 1:10
2. 1:102
3. 1:103
4. 1:104

Subtopic:  Linear SHM |
86%
From NCERT
NEET - 2008
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Which one of the following equations of motion represents simple harmonic motion? (where $$k$$$$k_0$$$$k_1$$ and  α  are all positive.)
1. Acceleration = -${k}_{0}x+{k}_{1}{x}^{2}$$$k_0$$
2. Acceleration = -$k\left(x+a\right)$
3. Acceleration = k$\left(x+a\right)$
4. Acceleration = kx

Subtopic:  Simple Harmonic Motion |
72%
From NCERT
NEET - 2009
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A body performs simple harmonic motion about x=0 with an amplitude a and a time period T. The speed of the body at $\mathrm{x}=\frac{\mathrm{a}}{2}$ will be:
1. $\frac{\mathrm{\pi a}\sqrt{3}}{2\mathrm{T}}$
2. $\frac{\mathrm{\pi a}}{\mathrm{T}}$
3. $\frac{3{\mathrm{\pi }}^{2}\mathrm{a}}{\mathrm{T}}$
4. $\frac{\mathrm{\pi a}\sqrt{3}}{\mathrm{T}}$

Subtopic:  Linear SHM |
77%
From NCERT
NEET - 2009
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The displacement of a particle along the x-axis is given by $x=a{\mathrm{sin}}^{2}$ $\omega t$. The motion of the particle corresponds to:

 1 simple harmonic motion of frequency ω / π. 2 simple harmonic motion of frequency  3 ω / 2 π. 3 non-simple harmonic motion. 4 simple harmonic motion of frequency ω / 2 π.
Subtopic:  Simple Harmonic Motion |
From NCERT
NEET - 2010
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