# 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 body mass m is attached to the lower end of a spring whose upper end is fixed. The spring has neglible mass. When the mass m is slightly pulled down and released, it oscillates with a time period of 3s. When the mass m is increased by 1 kg, the time period of oscillations becomes 5s. The value of m in kg is-

(1) $\frac{3}{4}$

(2)$\frac{4}{3}$

(3) $\frac{16}{9}$

(4) $\frac{9}{16}$

Subtopic:  Combination of Springs |
80%
From NCERT
NEET - 2016
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When two displacements represented by y1=asin(ωt) and y2=bcos(ωt) are superimposed,the motion is -

(1) not a simple harmonic

(2) simple harmonic with amplitude a/b

(3) simple harmonic with amplitude

(4) simple harmonic with amplitude (a+b)/2

Subtopic:  Simple Harmonic Motion |
91%
From NCERT
NEET - 2015
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The damping force on an oscillator is directly proportional to the velocity.The units of the constant of proportionality are

(1)

(2)

(3)

(4)

Subtopic:  Damped Oscillations (OLD NCERT) |
68%
From NCERT
NEET - 2012
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The displacement of a particle along the $$x\text-$$axis is given by $$x= a\sin^2\omega t$$. The motion of the particle corresponds to:
 1 simple harmonic motion of frequency $$\frac{\omega}{\pi}$$. 2 simple harmonic motion of frequency $$\frac{3\omega}{2\pi}$$. 3 non-simple harmonic motion. 4 simple harmonic motion of frequency $$\frac{\omega}{2\pi}$$.
Subtopic:  Simple Harmonic Motion |
From NCERT
NEET - 2010
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The period of oscillation of a mass $$M$$ suspended from a spring of negligible mass is $$T.$$ If along with it another mass $$M$$ is also suspended, the period of oscillation will now be:
1. $$T$$
2. $$T/\sqrt{2}$$
3. $$2T$$
4. $$\sqrt{2} T$$

Subtopic:  Linear SHM |
76%
From NCERT
NEET - 2010
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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 $$x= \frac{a}{2}$$ will be:
1. $$\frac{\pi a\sqrt{3}}{2T}$$
2. $$\frac{\pi a}{T}$$
3. $$\frac{3\pi^2 a}{T}$$
4. $$\frac{\pi a\sqrt{3}}{T}$$
Subtopic:  Linear SHM |
77%
From NCERT
NEET - 2009
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Which one of the following equations of motion represents simple harmonic motion? (where $$k,k_0,k_1~\text{and}~a$$ are all positive.)
1. Acceleration $$=-k_0x+k_1x^2$$
2. Acceleration $$=-k(x+a)$$
3. Acceleration $$=k(x+a)$$
4. Acceleration $$=kx$$
Subtopic:  Simple Harmonic Motion |
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From NCERT
NEET - 2009
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Two simple harmonic motions of angular frequency $$100~\text{rad s}^{-1}$$ and $$1000~\text{rad s}^{-1}$$ have the same displacement amplitude. The ratio of their maximum acceleration will be:
1. $$1:10$$
2. $$1:10^{2}$$
3. $$1:10^{3}$$
4. $$1:10^{4}$$

Subtopic:  Linear SHM |
86%
From NCERT
NEET - 2008
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A point performs simple harmonic oscillation of period T and the equation of motion is given by x= a sin .After the elapse of what fraction of the time period the velocity of the point will be equal to half to its maximum velocity?

(1)$\frac{T}{8}$

(2) $\frac{T}{6}$

(3) $\frac{T}{3}$

(4) $\frac{T}{12}$

Subtopic:  Simple Harmonic Motion |
67%
From NCERT
NEET - 2008
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