# 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

A particle executes linear SHM between $$x=A.$$ The time taken to go from $$0$$ to $$A/2$$ is $$T_1$$ and to go from $$A/2$$ to $$A$$ is $$T_2$$ then:
 1 $$T_1T_2$$ 3 $$T_1=T_2$$ 4 $$T_1= 2T_2$$
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

Two simple pendulums of length $$1~\text{m}$$ and $$16~\text{m}$$ 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. $$\frac{3T}{2}$$
2. $$\frac{3T}{4}$$
3. $$\frac{2T}{3}$$
4. $$\frac{4T}{3}$$
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 $$4~\text{s}$$. The time taken by the particle to go directly from its mean position to half of its amplitude will be:
1. $$\frac{1}{3}~\text{s}$$
2. $$1~\text{s}$$
3. $$\frac{1}{2}~\text{s}$$
4. $$2~\text{s}$$
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 SHM and its displacement $$(x)$$ is shown in the figure. The time period of oscillation for this SHM will be:

1. $$\sqrt{\frac{\alpha}{\beta}}$$
2. $$2\pi\sqrt{\frac{\alpha}{\beta}}$$
3. $$2\pi\left(\frac{\beta}{\alpha}\right)$$
4. $$2\pi\left(\frac{\alpha}{\beta}\right)$$

Subtopic:  Simple Harmonic Motion |
65%
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 attached to the ceiling of a stationary lift has a time period of 1 s. The distance y covered by the lift moving downward varies with time as y = 3.75 ${\mathrm{t}}^{2}$, where y is in meters and t is in seconds. If g = 10 $\mathrm{m}/{\mathrm{s}}^{2}$, then the time period of the pendulum will be:

 1 4 s 2 6 s 3 2 s 4 12 s
Subtopic:  Types of Motion | Simple Harmonic Motion | 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

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