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NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET

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Q.1. Two pendulums of length 121 cm and 100 cm start vibrating in phase. At some instant, the two are at their mean position in the same phase. The minimum number of vibrations of the shorter pendulum after which the two are again in phase at the mean position is:
(1) 9 
(2) 10 
(3) 8 
(4) 11 
Answer: (4)  

NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET


Q 2. A body is executing simple harmonic motion with frequency 'n', the frequency of its potential energy is:    [2021]
A: 3n
B: 4n
C: n
D: 2n
Ans: 
D
Solution: 
Displacement equation of SHM of frequency 'n' x = Asin(ωt) = Asin(2πnt) Now,
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
So frequency of potential energy = 2n

Q 3. A spring is stretched by 5 cm by a force 10 N. The time period of the oscillations when a mass of 2 kg is suspended by it is:     [2021]
A: 3.14 s
B: 0.628 s
C: 0.0628 s
D: 6.28 s
Ans: 

Solution: 

F = kx
10 = k(5 × 10–2)
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
= 2 x 102
= 200 N/m
Now,
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET

Q.4. Average velocity of a particle executing SHM in one complete vibration is:    [2019]
A: Aω/2
B: Aω
C: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
D: Zero
Ans: 
D
Solution:
In one complete vibration, displacement is zero. So, average velocity in one complete vibration
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET

Q 5. The displacement of a particle executing simple harmonic motion is given by y = A0+ Asinωt + Bcosωt
Then the amplitude of its oscillation is given by :    [2019]
A: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
B: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
C:NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
D: A + B
Ans:
B
Solution:
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
y = A0+ Asinωt + Bsinωt
Equate SHM
y' = y – A0 = Asinωt + Bcosωt
Resultant amplitude
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET

Q 6. The radius of circle, the period of revolution, initial position and sense of revolution are indicated in the fig.
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
y - projection of the radius vector of rotating particle P is:    [2019]
A: y(t) = –3 cos2πt, where y in m
B: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
C: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
D: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
Ans: 
D
Solution:

At t = 0, y displacement is maximum, so equation will be cosine function.
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
T = 4s
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
y = a cosωt
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET

Q 7. A pendulum is hung from the roof of a sufficiently high building and is moving freely to and fro like a simple harmonic oscillator. The acceleration of the bob of the pendulum is 20 m/s2 at a distance of 5 m from the mean position. The time period of oscillation is:-    [2018]
A: 2πs
B: πs
C: 2s
D: 1s
Ans:
B
Solution:
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET

Q 8. A particle executes linear simple harmonic motion with an amplitude 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:-    [2017]
A: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
B: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
C: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
D: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
Ans:
B
Solution:

NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET

Q 9. A particle is executing SHM along a straight line. Its velocities at distances x1 and x2 from the mean position are V1 and V2, respectively. Its time period is:    [2015]
A: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
B: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET

C: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
D: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
Ans: C
Solution:

NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET

Q 10. When two displacements represented by y1 = a sin(ωt) and y2 = b cos(ωt) are superimposed the motion is:    [2015]
A: simple harmonic with amplitude (a+b)/2
B: not a simple harmonic
C: simple harmonic with amplitude a/b
D: simple harmonic with amplitude  NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
Ans:
D
Solution:
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
where  c2 = a2 + b2  [since  a+ b2 = c2 cos (φ) + csin (φ) = c2 ]
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
The superimposed motion is simple harmonic with amplitude NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET

Q 11. The oscillation of a body on a smooth horizontal surface is represented by the equation,
X = A cos (ωt)
Where X = displacement at time t
ω = frequency of oscillation
Which one of the following graphs shows correctly the variation ‘a’ with ‘t’?    [2014]
A: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
B: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
C: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET
D: NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET

Here, a = acceleration at time ‘t’ and T = time period
Ans:
A
Solution:
NEET Previous Year Questions (2014-22): Oscillations - Notes | Study Physics Class 11 - NEET

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