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BITSAT SERIES
Physics

Waves And Oscillations

18 previous year questions.

Volume: 18 Ques
Yield: Medium

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Chapter Questions
18 MCQs

01
PYQ 2011
medium
physics ID: bitsat-2

A mass m is suspended from a spring of force constant k and another identical spring is fixed to the floor as shown. The time period of small oscillations is:

1
2π√((m)/(k))
2
π√((m)/(k))+π√((m)/(2k))
3
π√((m)/(3k/2))
4
π√((m)/(k))+π√((m)/(2k))
02
PYQ 2011
medium
physics ID: bitsat-2
Which of the following expressions corresponds to simple harmonic motion along a straight line, where x is displacement and a,b,c are positive constants?
1
a+bx-cx²
2
bx²
3
a-bx+cx²
4
-bx
03
PYQ 2012
medium
physics ID: bitsat-2
One end of a long metallic wire of length tied to the ceiling. The other end is tied with a massless spring of spring constant . A mass hangs freely from the free end of the spring. The area of cross section and the Young’s modulus of the wire are and respectively. If the mass slightly pulled down and released, it will oscillate with a time period equal to:
1

2

3

4

04
PYQ 2015
medium
physics ID: bitsat-2
The displacement of a particle is given as a function of time by: Then,
1
the motion of the particle is SHM with an amplitude of
2
the motion of the particle is not SHM, but oscillatory with a time period of
3
the motion of the particle is oscillatory with a time period of
4
the motion of the particle is aperiodic
05
PYQ 2015
medium
physics ID: bitsat-2
An elastic string of unstretched length and force constant is stretched by a small length . It is further stretched by another small length . The work done in the second stretching is
1
2
3
4
06
PYQ 2015
medium
physics ID: bitsat-2

A load of mass falls from a height onto the scale pan hung from a spring of mass and force constant . If the spring constant is such that the scale pan is zero and the mass does not bounce relative to the pan, then the amplitude of vibration is:

1

2

3

4
07
PYQ 2016
medium
physics ID: bitsat-2

A 1kg mass is attached to a spring of force constant 600N m⁻1 and rests on a smooth horizontal surface with other end of the spring tied to a wall as shown in the figure. A second mass of 0.5kg slides along the surface with initial speed 3m s⁻1. If the masses make a perfectly inelastic collision, then find the amplitude and time period of oscillation of the combined mass.

1

2

3

4
4cm,(π)/(3)s
08
PYQ 2017
medium
physics ID: bitsat-2

The following figure depicts a circular motion. The radius of the circle, the period of revolution, the initial position and the sense of revolution are indicated in the figure. The simple harmonic motion of the x-projection of the radius vector of the rotating particle P can be shown as

1

2

3

4
x(t)=acos((π t)/(3)+(π)/(2))
09
PYQ 2018
medium
physics ID: bitsat-2
Two oscillators are started simultaneously in same phase. After 50 oscillations of one, they get out of phase by π. The half oscillation. The percentage difference of frequencies of the two oscillators is nearest to:
1
2%
2
1%
3
0.5%
4
0.25%
10
PYQ 2019
medium
physics ID: bitsat-2

A load of mass m falls from a height h onto the scale pan hanging from a spring as shown in the figure. If the spring constant is k, mass of scale pan is zero, and the mass does not bounce relative to the pan, then the amplitude of vibration is

1

2

3

4
(mg)/(k)√((1+2hk)/(mg)) - (mg)/(k)
11
PYQ 2019
medium
physics ID: bitsat-2
Vertical displacement of a plank with a body of mass m on it is varying according to law y = sin ω t + √(3)cos ω t. The minimum value of ω for which the mass just breaks contact with the plank and the moment it occurs first after t = 0, are given by
1

2

3

4
√(2g), (2π)/(3g)
12
PYQ 2020
medium
physics ID: bitsat-2

A 1kg mass is attached to a spring of force constant 600N/m and rests on a smooth horizontal surface with other end of the spring tied to a wall as shown in the figure. A second mass of 0.5kg slides on the surface and hits the first at 3m/s. If the masses make a perfectly inelastic collision, then find the amplitude of oscillation of the combined mass and time period of oscillation.

1

2

3

4
4cm, (π)/(3)s
13
PYQ 2020
medium
physics ID: bitsat-2
A point particle of mass 0.1kg is executing S.H.M. of amplitude 0.1m. When the particle passes through the mean position, its kinetic energy is 8×10⁻3J. Obtain the equation of motion of this particle if its initial phase of oscillation is 45^∘.
1

2

3

4
y=0.2sin(-2t+(π)/(4))
14
PYQ 2021
medium
physics ID: bitsat-2

The following figure depicts a circular motion. The radius of the circle, the period of revolution, the initial position and the sense of revolution are indicated on the figure. The simple harmonic motion of the x-projection of the radius vector of the rotating particle P can be shown as:

1
x(t)=acos((2π t)/(4)+(π)/(4))
2
x(t)=acos((π t)/(4)+(π)/(4))
3
x(t)=asin((2π t)/(4)+(π)/(4))
4
x(t)=acos((π t)/(3)+(π)/(2))
15
PYQ 2023
hard
physics ID: bitsat-2
Damped oscillation constant decreases then what will be the effect of resonance factor?
16
PYQ 2025
medium
physics ID: bitsat-2
A damped harmonic oscillator has an amplitude that reduces to half in 10 seconds. What will be the amplitude after 30 seconds?
1
of original amplitude
2
of original amplitude
3
of original amplitude
4
of original amplitude
17
PYQ 2026
hard
physics ID: bitsat-2

Five identical springs are used in the three configurations as shown in figure. The time periods of vertical oscillations in configurations (a), (b) and (c) are in the ratio.

1

2

3

4
18
PYQ 2026
medium
physics ID: bitsat-2
An ideal spring with spring-constant is hung from the ceiling and a mass is attached to its lower end. The mass is released with the spring initially unstretched. Then the maximum extension in the spring is
1

2

3

4