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-axis is given by x=asin2 ωt. The motion of the particle corresponds to:

1.  simple harmonic motion of frequency ω / π.
2.  simple harmonic motion of frequency  3 ω / 2 π.
3.  non-simple harmonic motion.
4.  simple harmonic motion of frequency ω / 2 π.



 

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=a2 will be:
1. πa32T                                         
2. πaT
3. 3π2aT                                           
4. πa3T

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 \(k\)\(k_0\)\(k_1\) and  α  are all positive.)
1. Acceleration = -k0x+k1x2\(k_0\)  
2. Acceleration = -kx+a
3. Acceleration = kx+a
4. Acceleration = kx

Subtopic:  Simple Harmonic Motion |
 72%
From NCERT
NEET - 2009
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Two simple harmonic motions of angular frequency 100 rad s -1 and 1000 rad s-1 have the same displacement amplitude. The ratio of their maximum acceleration will be:
1. 1:10
2. 1:102
3. 1:103                               
4. 1:104

Subtopic:  Linear SHM |
 85%
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 ωt +π/6.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)T8

(2) T6

(3) T3

(4) T12

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-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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