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Oscillations And Waves
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Let's practice 30 mcqs on
Oscillations And Waves
mcqs by everyone
If the displacement equation of a particle be represented by y = A sin pt + B cos pt, the particle executes
a uniform elliptical motion
a uniform circular motion
a SHM
a rectilinear motion
A mass M is suspended from a spring of negligiblemass.
The spring is pulled a little and then released, so that the mass executes SHM of time period T. If the mass is increased by m, the time period becomes 5T/3. Then the ratio of m/M is
16/9
5/3
3/5
25/9
The displacement equation of a particle in simple harmonic motion in one time period is
Zero
2a
4a
A
Two particles executing SHM have time periods in ratio of 1:4. Both are given small displacements in the same direction at the sameinstant.
They will again be in phase at the mean position after the second particle has completed noscillations.
The value of n is
1/2
Zero
4
2
A clock pendulum is adjusted for giving correct time inPatna.
This clock pendulum also gives correct time in
HYDERABAD
Kota
NONE OF THESE
Delhi
The pendulum of lengths 121 cm and 100 cm startvibrating.
At some instant, the two are in the mean position in the samephase.
After how many vibrations of the shorter pendulum, the two will be in the same phase in the mean position
21 vibrations
10 vibrations
11 vibrations
20 vibrations
A particle of mass 10 kg is executing SHM of time period 2 s and amplitude 0.25 m. The magnitude of maximum force on the particle is
Zero
40.6 N
24.65 N
5 N
A solid copper sphere is suspended from a masslessspring.
The time period of oscillation of the system is 4 s. The sphere is now completely immersed in a liquid whose density is 1/8th that ofbrass.
The sphere remains in liquid duringoscillation.
Now the time period is
3 s
4 s
NONE OF THESE
2 s
Two springs have force constants in the ratio 4 : 9. Their time periods are in the ratio of
1 : 3
3 : 2
3 : 1
2 : 3
What change in mass is required to double the frequency of a harmonic oscillator
The mass must be reduced to half its original value
The mass must be doubled.
The mass must be reduced to one-fourth its original value
The mass must be increased to four times its original value
A particle executes simple harmonicmotion.
The amplitude of vibration of particle is 2 cm. The displacement of particle in one time period is
2 cm
4 cm
1 cm
Zero
The length of a seconds pendulum is approximately
9.93 mm
99.3 mm
994 mm
993 mm
A child swinging on a swing in sitting position, stands up, then the time period of the swing will
increase if the child is long and decrease if the child is short
Decrease
remain same
Increase
A seconds pendulum has time period 2 s. The spherical bob which is empty has mass of 50 g. This is replaced by another solid bob of same radius but having mass of 100 g. The new time period will be
1 s
2 s
8 s
4 s
A clock P is based on oscillation of a spring and another clock Q is based on pendulummotion.
Both the clocks run at the same rate onEarth.
Both the clocks are then taken to a planet having same density as Earth but twice theradius.
Then
Q will run faster than P
both will run at equal rates but faster than on Earth.
both will run at the same rates as on Earth
P will run faster than Q
A spring of force constant k is cut into two pieces such that one piece is double the length of theother.
Then the longer piece will have a force constant of
3 k
3/2 k
6 k
2/3 k
The equation of acceleration of a particle is a = - k (x +
b), where x is distance along x-axis and k is a positiveconstant.
The motion of particle is
SHM
periodic
All of These
oscillatory
The intensity ratio of two waves is 1 : 16. The ratio of their amplitudes is
4 : 1
2 : 1
1 : 4
1 : 16
In simple harmonic motion, the particle is
neither accelerated nor retarded
alternately accelerated and retarded
always accelerated
always retarded
The maximum velocity of a particle, executing simple harmonic motion with an amplitude 7 mm, is 4.4 m/s. the period of oscillation is
100 s
0.01 s
0.1 s
10 s
In previous problem, the mean position of the particle with respect to origin is at distance
�b
NONE OF THESE
+b
Zero
In a simple harmonic oscillator, at the mean position
kinetic energy is maximum, potential energy is minimum
both kinetic and potential energies are minimum
both kinetic and potential energies are maximum
kinetic energy is minimum, potential energy is maximum
Starting from the origin a body oscillates simple harmonically with a period of 2 s. After what time will its kinetic energy by 75% of the total energy
1/6 s
1/12 s
1/3 s
1/4 s
Two tuning forks when sounded simultaneously give one beat each 0.4second.
What is the difference of the frequencies
2 Hz
1.5 Hz
2.5 Hz
1 Hz
The amplitude of a damped oscillator becomes one-half after tsecond.
If the amplitude becomes 1 / n after 3t second, then n is equal to
4
8
1/8
1/4
The force on a body executing SHM is 2 N when the displacement in 3 cm. When the displacement value of its acceleration is
0.36 N
2 N
3.33 N
1.2 N
Consider a stretched string under tension and fixed at bothends.
If the tension is doubled and the cross-sectional area halved, then the frequency becomes
eight times
Twice
four times
Half
A weight suspended from a spring oscillates up anddown.
The acceleration of the weight is zero at
lowest point
middle point
highest point
NONE OF THESE
A pendulum suspended from the ceiling of a train has a period T when the train is atrest.
When the train is accelerating with a uniform acceleration, the period of oscillation will
Increase
become infinite
Decrease
remain unaffected
What fraction of the total energy is kinetic when the displacement is one-half of the amplitude
2/4
3.5/4
1/4
3/4
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