Which one of the following equations of motion represents simple harmonic motion? (where k,k0,k1 and ak,k0,k1 and a are all positive.)
1. Acceleration =k0x+k1x2=k0x+k1x2
2. Acceleration =k(x+a)=k(x+a)
3. Acceleration =k(x+a)=k(x+a)
4. Acceleration =kx=kx

Subtopic:  Simple Harmonic Motion |
 74%
From NCERT
NEET - 2009
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Two simple harmonic motions of angular frequency 100 rad s1100 rad s1 and 1000 rad s11000 rad s1 have the same displacement amplitude. The ratio of their maximum acceleration will be:
1. 1:101:10
2. 1:1021:102
3. 1:1031:103
4. 1:1041:104

Subtopic:  Linear SHM |
 87%
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)(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.  T8T8

2.  T6T6

3.  T3 T3

T 12T 12

Subtopic:  Simple Harmonic Motion |
 67%
From NCERT
NEET - 2008
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An SHM has an amplitude aa and a time period T.T. The maximum velocity will be:
1. 4aT4aT       
2. 2aT2aT
3. 2πT2πT
4. 2aπT2aπT
Subtopic:  Simple Harmonic Motion |
 91%
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Two particles PP and QQ start from origin and execute Simple Harmonic Motion along x-x-axis with same amplitude but with periods 33 seconds and 66 seconds respectively. The ratio of the velocities of PP and QQ when they meet is:
1. 1:21:2
2. 2:12:1
3. 2:32:3
4. 3:23:2
Subtopic:  Simple Harmonic Motion |
 85%
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The angular velocities of three bodies in simple harmonic motion are ω1,ω2,ω3ω1,ω2,ω3 with their respective amplitudes as A1,A2,A3A1,A2,A3. If all the three bodies have same mass and maximum velocity, then

1. A1ω1=A2ω2=A3ω3A1ω1=A2ω2=A3ω3       
2.  A1ω12=A2ω22=A3A32A1ω12=A2ω22=A3A32
3. A12ω1=A22ω2=A32ω3A12ω1=A22ω2=A32ω3   
4. A12ω12=A22ω22=A2A12ω12=A22ω22=A2  

Subtopic:  Simple Harmonic Motion |
 89%
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The amplitude of a particle executing SHM is 4 cm. At the mean position the speed of the particle is 16 cm/sec. The distance of the particle from the mean position at which the speed of the particle becomes 83cm/sec83cm/sec will be

1.   23cm23cm             

2.  3cm3cm

3.  1 cm                   

4.  2 cm

Subtopic:  Simple Harmonic Motion |
 70%
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The maximum velocity of a simple harmonic motion represented by y=3 sin (100t+π6)y=3 sin (100t+π6) is given by

1. 300       

2.  3π63π6

3. 100         

4.  π6π6

Subtopic:  Simple Harmonic Motion |
 93%
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The displacement equation of a particle is x=3sin 2t+4cos 2t x=3sin 2t+4cos 2t  The amplitude and maximum velocity will be respectively

1. 5, 10      

2. 3, 2

3. 4, 2       

4. 3, 4

Subtopic:  Simple Harmonic Motion |
 90%
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The instantaneous displacement of a simple pendulum oscillator is given by x=A cos (ωt+π4)x=A cos (ωt+π4) . Its speed will be maximum at time

1. π4ωπ4ω      

2. π2ωπ2ω

3. πωπω                

4. 2πω2πω

Subtopic:  Simple Harmonic Motion |
 61%
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