# 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 |
73%
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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An SHM has an amplitude $$a$$ and a time period $$T.$$ The maximum velocity will be:
1. $${4a \over T}$$
2. $${2a \over T}$$
3. $${2 \pi \over T}$$
4. $${2a \pi \over T}$$
Subtopic:  Simple Harmonic Motion |
90%
From NCERT
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Two particles $$P$$ and $$Q$$ start from origin and execute Simple Harmonic Motion along $$x\text-$$axis with same amplitude but with periods $$3$$ seconds and $$6$$ seconds respectively. The ratio of the velocities of $$P$$ and $$Q$$ when they meet is:
1. $$1:2$$
2. $$2:1$$
3. $$2:3$$
4. $$3:2$$
Subtopic:  Simple Harmonic Motion |
85%
From NCERT
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The angular velocities of three bodies in simple harmonic motion are ${\omega }_{1},{\omega }_{2},{\omega }_{3}$ with their respective amplitudes as ${A}_{1},{A}_{2},{A}_{3}$. If all the three bodies have same mass and maximum velocity, then

(a) ${A}_{1}{\omega }_{1}={A}_{2}{\omega }_{2}={A}_{3}{\omega }_{3}$        (b)  ${A}_{1}{{\omega }_{1}}^{2}={A}_{2}{{\omega }_{2}}^{2}={A}_{3}{{A}_{3}}^{2}$

(b) ${{A}_{1}}^{2}{\omega }_{1}={{A}_{2}}^{2}{\omega }_{2}={{A}_{3}}^{2}{\omega }_{3}$   (d) ${{A}_{1}}^{2}{{\omega }_{1}}^{2}={{A}_{2}}^{2}{{\omega }_{2}}^{2}={A}^{2}$

Subtopic:  Simple Harmonic Motion |
89%
From NCERT
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