# Two simple pendulums of length 1 m and 16 m are in the same phase at the mean position at any instant. If T is the time period of the smaller pendulum, then the minimum time after which they will again be in the same phase will be: 1.  $\frac{3\mathrm{T}}{2}$ 2.  $\frac{3\mathrm{T}}{4}$ 3.  $\frac{2\mathrm{T}}{3}$ 4.  $\frac{4\mathrm{T}}{3}$

Subtopic:  Angular SHM |
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 executes SHM with a time period of 4 s. The time taken by the particle to go directly from its mean position to half of its amplitude will be:

1.  $\frac{1}{3}$ s

2.  1 s

3.  $\frac{1}{2}$ s

4.   2 s

Subtopic:  Linear SHM |
75%
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

The graph between the velocity (v) of a particle executing S.H.M. and its displacement (x) is shown in the figure. The time period of oscillation for this SHM will be

1.  $\sqrt{\frac{\mathrm{\alpha }}{\mathrm{\beta }}}$

2.  $2\mathrm{\pi }\sqrt{\frac{\mathrm{\alpha }}{\mathrm{\beta }}}$

3.  $2\mathrm{\pi }\left(\frac{\mathrm{\beta }}{\mathrm{\alpha }}\right)$

4.  $2\mathrm{\pi }\left(\frac{\mathrm{\alpha }}{\mathrm{\beta }}\right)$

Subtopic:  Simple Harmonic Motion |
64%
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

Acceleration-time ($$a\text-t$$) graph for a particle performing SHM is shown in the figure. Select the incorrect statement.

 1 Displacement of a particle at $$A$$ is negative. 2 The potential energy of the particle at $$C$$ is minimum. 3 The velocity of the particle at $$B$$ is positive. 4 Speed of particle at $$D$$ is decreasing.
Subtopic:  Simple Harmonic Motion |
57%
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 simple pendulum is pushed slightly from its equilibrium towards the left and then set free to execute the simple harmonic motion. Select the correct graph between its velocity ($$v$$) and displacement ($$x$$).

 1 2 3 4
Subtopic:  Angular SHM |
66%
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

For a particle executing simple harmonic motion, the kinetic energy is given by $$K=K_{0}cos^{2} \omega t.$$ The maximum value of potential energy for the given particle:

 1 maybe $$K_0$$ 2 must be $$K_0$$ 3 may be more than $$K_{0}$$ 4 both (1) and (3)
Subtopic:  Energy of SHM |
51%
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

The time period of the spring-mass system depends upon:

 1 the gravity of the earth 2 the mass of the block 3 spring constant 4 both (2) & (3)
Subtopic:  Spring mass system |
88%
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

Acceleration of the particle at s from the given displacement (y) versus time (t) graph will be?

1. $\frac{\sqrt{3}{\mathrm{\pi }}^{2}}{4}$ $cm/{s}^{2}$

2. $-\frac{\sqrt{3}{\mathrm{\pi }}^{2}}{4}$ $cm/{s}^{2}$

3. $-{\mathrm{\pi }}^{2}$ $\mathrm{cm}/{\mathrm{s}}^{2}$

4. Zero

Subtopic:  Linear SHM |
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 executes linear SHM between $$x=A.$$ The time taken to go from $$0$$ to $$A/2$$ is ${\mathrm{T}}_{1}$ and to go from $$A/2$$ to $$A$$ is ${\mathrm{T}}_{2}$, then:

 1 ${\mathrm{T}}_{1}$ $<$ 2 ${\mathrm{T}}_{1}$ $>$ ${\mathrm{T}}_{2}$ 3 ${\mathrm{T}}_{1}$ $=$ ${\mathrm{T}}_{2}$ 4 ${\mathrm{T}}_{1}$ $=$ $2{\mathrm{T}}_{2}$
Subtopic:  Linear SHM |
71%
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 spring-block system oscillates with a time period $$T$$ on the earth's surface. When the system is brought into a deep mine, the time period of oscillation becomes $$T'.$$ Then one can conclude that:
1. $$T'>T$$
2. $$T'<T$$
3. $$T'=T$$
4. $$T'=2T$$

Subtopic:  Combination of Springs |
66%
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