# The equation of an SHM is given as $$y = 3\sin\omega t+ 4\cos \omega t$$ where $$y$$ is in centimeters. The amplitude of the SHM will be? 1. $$3~\text{cm}$$ 2. $$3.5~\text{cm}$$ 3. $$4~\text{cm}$$ 4. $$5~\text{cm}$$

Subtopic:  Linear SHM |
90%
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 periods for the figures (a) and (b) are $$T_1$$ and $$T_2$$ respectively. If all surfaces shown below are smooth, then the ratio $$\frac{T_1}{T_2}$$ will be:

1. $$1:\sqrt{3}$$
2. $$1:1$$
3. $$2:1$$
4. $$\sqrt{3}:2$$
Subtopic:  Spring mass system |
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 attached to a vertical spring and pulled down a distance of $$0.01~\text{m}$$ below its mean position and released. If its initial acceleration is $$0.16~\text{m/s}^2$$, then its time period in seconds will be:
1. $$\pi$$
2. $$\frac{\pi}{2}$$
3. $$\frac{\pi}{4}$$
4. $$2\pi$$
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

A particle is executing linear simple harmonic motion with an amplitude $$a$$ and an angular frequency $$\omega$$. Its average speed for its motion from extreme to mean position will be:
1. $$\frac{a\omega}{4}$$
2. $$\frac{a\omega}{2\pi}$$
3. $$\frac{2a\omega}{\pi}$$
4. $$\frac{a\omega}{\sqrt{3}\pi}$$

Subtopic:  Linear SHM |
56%
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

Two simple harmonic motions, $$y_1 = a \sin\omega t$$ and $$y_2 = 2a\sin\left(\omega t+\frac{2\pi}{3}\right)$$ are superimposed on a particle of mass $$m$$. The maximum kinetic energy of the particle will be:
1. $$\frac{1}{2}m\omega^2a^2$$
2. $$\frac{5}{4}m\omega^2a^2$$
3. $$\frac{3}{2}m\omega^2a^2$$
4. Zero
Subtopic:  Energy of SHM |
58%
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

All the surfaces are smooth and springs are ideal. If a block of mass $$m$$ is given the velocity $$v_0$$ in the right direction, then the time period of the block shown in the figure will be:

1. $$\frac{12l}{v_0}$$
2. $$\frac{2l}{v_0}+ \frac{3\pi}{2}\sqrt{\frac{m}{k}}$$
3. $$\frac{4l}{v_0}+ \frac{3\pi}{2}\sqrt{\frac{m}{k}}$$
4. $$\frac{\pi}{2}\sqrt{\frac{m}{k}}$$

Subtopic:  Spring mass system |
53%
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

In a spring pendulum, in place of mass, a liquid is used. If liquid leaks out continuously, then the time period of the spring pendulum:

 1 Decreases continuously 2 Increases continuously 3 First increases and then decreases 4 First decreases and then increases

Subtopic:  Spring mass system |
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

Equation of a simple harmonic motion is given by $$x= a\sin \omega t$$. For which value of $$x$$, kinetic energy is equal to the potential energy?
1. $$x = \pm a$$
2. $$x = \pm \frac{a}{2}$$
3. $$x = \pm \frac{a}{\sqrt{2}}$$
4. $$x = \pm \frac{\sqrt{3}a}{2}$$
Subtopic:  Energy of 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

The displacement $$x$$ of a particle varies with time $$t$$ as $$x = A sin\left (\frac{2\pi t}{T} +\frac{\pi}{3} \right)$$$\mathrm{}$The time taken by the particle to reach from $$x = \frac{A}{2}$$ to $$x = -\frac{A}{2}$$ will be:

 1 $$\frac{T}{2}$$ 2 $$\frac{T}{3}$$ 3 $$\frac{T}{12}$$ 4 $$\frac{T}{6}$$

Subtopic:  Phasor Diagram |
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

Force on a particle $$F$$ varies with time $$t$$ as shown in the given graph. The displacement $$x$$ vs time $$t$$ graph corresponding to the force-time graph will be:

 1 2 3 4
Subtopic:  Linear 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