A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m/s2 at a distance of 5 m from the mean position. The time period of oscillation is:

 1 2$\mathrm{\pi }$ s 2 $\mathrm{\pi }$ s 3 2 s 4 1 s
Subtopic:  Angular SHM |
84%
From NCERT
NEET - 2018
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A particle executes linear simple harmonic motion with an amplitude of of 3 cm. When the particle is at 2 cm from the mean position, the magnitude of its velocity  is equal to that of its acceleration. Then, its time period in seconds is

(a) $\sqrt{\frac{5}{\pi }}$

(b)$\sqrt{\frac{5}{2\mathrm{\pi }}}$

(c)$\frac{4\mathrm{\pi }}{\sqrt{5}}$

(d)$\frac{2\mathrm{\pi }}{\sqrt{3}}$

Subtopic:  Simple Harmonic Motion |
76%
From NCERT
NEET - 2017
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A spring of force constant $$k$$ is cut into lengths of ratio $$1:2:3$$. They are connected in series and the new force constant is $$k'$$. Then they are connected in parallel and force constant is $$k''$$. Then $$k':k''$$ is:
1. $$1:9$$
2. $$1:11$$
3. $$1:14$$
4. $$1:6$$

Subtopic:  Combination of Springs |
70%
From NCERT
NEET - 2017
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A particle executes linear simple harmonic motion with amplitude of $$3~\text{cm}$$. When the particle is at $$2~\text{cm}$$ from the mean position, the magnitude of its velocity is equal to that of its acceleration. Then its time period in seconds is:
1. $$\frac{\sqrt5}{2\pi}$$
2. $$\frac{4\pi}{\sqrt5}$$
3. $$\frac{4\pi}{\sqrt3}$$
4. $$\frac{\sqrt5}{\pi}$$

Subtopic:  Simple Harmonic Motion |
75%
From NCERT
NEET - 2017
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A body of mass $$m$$ is attached to the lower end of a spring whose upper end is fixed. The spring has negligible mass. When the mass $$m$$ is slightly pulled down and released, it oscillates with a time period of $$3~\text{s}$$. When the mass $$m$$ is increased by $$1~\text{kg}$$, the time period of oscillations becomes $$5~\text{s}$$. The value of $$m$$ in $$\text{kg}$$ is:
1. $$\frac{3}{4}$$
2. $$\frac{4}{3}$$
3. $$\frac{16}{9}$$
4. $$\frac{9}{16}$$

Subtopic:  Spring mass system |
82%
From NCERT
NEET - 2016
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