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A child swinging on a swing in sitting position, stands up, then the time period of the swing will
Increase
increase if the child is long and decrease if the child is short
Decrease
remain same
A particle executing simple harmonic motion has amplitude of 1 m and time period 2s. Att = 0, net force on the particle iszero.
The equation of displacement of particle is
x = sin 2pt
x = cos pt
x = sin pt
x = cos 2pt
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
10 s
0.1 s
0.01 s
100 s
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
All of These
oscillatory
periodic
If a particle is acted by two simple harmonic motions simultaneously, the path of particle is
just like motion of a particle under gravity
Lissajous figure
stream line motion
None of the above
In previous problem, the mean position of the particle with respect to origin is at distance
Zero
NONE OF THESE
�b
+b
A particle moves along y-axis according to equation y = 3 + 4 cos wt. The motion of particle is
None of the above
SHM
oscillatory but not SHM
not SHM
If the mass of bob of simple pendulum is increased by 50%, the time period of the pendulum
Increases
Decreases
does not change
NONE OF THESE
A seconds pendulum is mounted in arocket.
Its period of oscillation will decrease when the rocket is
moving down with uniform acceleration
moving up with uniform acceleration
moving in a geostationary orbit
moving up with uniform velocity
A particle executes SHM, its time period is 16 s. If it passes through the centre of oscillation, then its velocity is 2 m/s at time 2 s. The amplitude will be
4 cm
0.72 m
6 cm
7.2 m
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 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
NONE OF THESE
3 s
2 s
4 s
The length of a seconds pendulum is approximately
993 mm
99.3 mm
994 mm
9.93 mm
The time period of a mass suspended from a spring is 5 s. The spring is cut into four equal and the same mass is now suspended from one of itsparts.
The period is now
5 / 16 s
5 s
1.25 s
2.5 s
A mass on the end of a spring undergoes simple harmonic motion with a frequency of 0.5 Hz. If the attached mass is reduced to one quarter of its value, then the new frequency in Hz is
1.0
4.5
0.25
2.0
A body executing SHM has its velocity 10 cm/s and 7 cm/s, when its displacements from the mean position are 3 cm and 4 cmrespectively.
The length of path is
9.5 cm
10 cm
11.36 cm
4 cm
The total energy of a particle executing SHM is proportional to
velocity in equilibrium position
square of amplitude of motion
displacement from equilibrium position
frequency of oscillation
Two tuning forks when sounded simultaneously give one beat each 0.4second.
What is the difference of the frequencies
1.5 Hz
2.5 Hz
2 Hz
1 Hz
In a simple harmonic oscillator, at the mean position
both kinetic and potential energies are maximum
both kinetic and potential energies are minimum
kinetic energy is maximum, potential energy is minimum
kinetic energy is minimum, potential energy is maximum
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
40.6 N
5 N
24.65 N
Zero
1
2
3
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