A small sphere carrying a charge ‘q’ is hanging in between two parallel plates by a string of length L. Time period of pendulum is T0. When parallel plates are charged, the electric field between the plates is E and time period changes to T. The ratio T/T0 is equal to 

(1) g+qEmg1/2           (2) gg+qEm3/2

(3) gg+qEm1/2           (4) None of these 

Subtopic:  Simple Harmonic Motion |
 64%
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A simple pendulum has a time period \(T_1\) when on the earth’s surface, and \(T_2\) when taken to a height \(R\) above the earth’s surface, where \(R\) is the radius of the earth. The value of \(\frac{T_2}{T_1}\) is:
1. \(1\)
2. \(\sqrt{2}\)
3. \(4\)
4. \(2\)
Subtopic:  Simple Harmonic Motion |
 51%
From NCERT
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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) 5π

(b)52π

(c)4π5

(d)2π3

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) 34               

(2)43

(3) 169               

(4) 916

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 a2 + b2

(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)kg ms-1                               

(2)kg ms-2

(3)kg s-1                                   

(4)kg s

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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