The kinetic energy of a particle executing S.H.M. is 16 J when it is in its mean position. If the amplitude of oscillations is 25 cm and the mass of the particle is 5.12 kg, the time period of its oscillation is ____.
The acceleration of a particle performing S.H.M. is at a distance of 3 cm from the mean position. Its time period is ____.
0.5 s
1.0 s
2.0 s
3.14 s
To make the frequency double of an oscillator, we have to ____.
double the mass
half the mass
quadruple the mass
reduce the mass to one-fourth
What is constant in S.H.M ?
Restoring force
Kinetic energy
Potential energy
Periodic time
The equation of a simple harmonic motion is where X and t are in mm and second. The frequency of motion is ____.
3000
The wrong statement is ____.
all S.H.M.’s have fixed time period
all motion having same time period are S.H.M.
in S.H.M. total energy is proportional to square of amplitude
phase constant of S.H.M. depends upon initial conditions
A particle in SHM is described by the displacement equation If the initial (t = 0) position of the particle is 1 cm and its initial velocity is cm/s, what is its amplitude? The angular frequency of the particle is ____.
1 cm
2 cm
2.5 cm
A particle executes SHM in a line 4 cm long. Its velocity when passing through the centre of line is 12 cm/s. The period is ____.
2.047 s
1.047 s
3.047 s
0.047 s
The displacement x (in metre) of a particle in, simple harmonic motion is related to time t (in seconds) as . The frequency of the motion is ____.
0.5 Hz
1.0 Hz
The period of a simple pendulum is doubled, when ____.
its length is doubled
the mass of the bob is doubled
its length is made four times
the mass of the bob and the length of the pendulum are doubled
The period of oscillation of a simple pendulum of constant length at earth surface is T. Its period inside a mine is ____.
greater than T
less than T
equal to T
Cannot be compared
A simple pendulum is made of a body which is a hollow sphere containing mercury suspended by means of a wire. If a little mercury is drained off, the period of pendulum will ____.
remains unchanged
increase
decrease
become erratic
A pendulum suspended from the ceiling of a train has a period T, when the train is at rest. When the train is accelerating with a uniform acceleration a, the period of oscillation will ____.
increase
decrease
remain unaffected
become infinite
The mass and diameter of a planet are twice those of earth. The period of oscillation of pendulum on this planet is (If it is a second's pendulum on earth) ____.
2 s
A simple pendulum is set up in a trolley which moves to the right with an acceleration a on a horizontal plane. Then the thread of the pendulum in the mean position makes an angle with the vertical ____.
Which of the following statements is not true ? In the case of a simple pendulum for small amplitudes the period of oscillation is ____.
directly proportional to square root of the length of the pendulum
inversely proportional to the square root of the acceleration due to gravity
dependent on the mass, size and material of the bob
independent of the amplitude
The time period of a second's pendulum is 2 s. The spherical bob which is empty from inside has a mass of 50 gm. This is now replaced by another solid bob of same radius but having different mass of 100 gm. The new time period is ____.
4 s
1 s
2 s
8 s
A man measures the period of a simple pendulum inside a stationary lift and finds it to be T s. If the lift accelerates upwards with an acceleration , then the period of the pendulum is ____.
T
A simple pendulum is suspended from the roof of a trolley which moves in a horizontal direction with an acceleration a, then the time period is given by , where is equal to ____.
g
A second's pendulum is placed in a space laboratory orbiting around the earth at a height 3 R, where R is the radius of the earth. The time period of the pendulum is ____.
Zero
4 s
Infinite