A hollow sphere filled with water forms the bob of a simple pendulum. A small hole at the bottom of the bob allows the water to slowly flow out as it is set into small oscillations and its period of oscillations is measured. The time period will:
Increase
Decrease
Remain constant
First increases , then decreases
A body of mass 5 kg hangs from a spring and oscillates with a time period of 2 seconds. If the body is removed, the length of the spring will decrease by :
2 metres
g metres
g/k metres
k/g metres
The frequency of a simple pendulum in a freely falling lift will be :
Zero
Infinite
Finite
Cannot say
The S.H.M. of a particle is given by the equation . The amplitude of motion is
7
12
1
5
The composition of two simple harmonic motions of equal periods at right angle to each other and with a phase difference of results in the displacement of the particle along:
Circle
Figure of eight
Straight line
Ellipse
A horizontal surface moves up and down in S.H.M with an amplitude of 1 cm. If mass of 10 kg (which is placed on the surface) is to remain continuously in contact with it, the maximum frequency of S.H.M. will be:
5 Hz
0.5 Hz
1.5 Hz
10 Hz
When a damped harmonic oscillator completes 100 oscillations, its amplitude is reduced to of its initial value. What will be its amplitude when it completes 200 oscillations ?
A mass of 2.0 kg is put on a flat pan attached to a vertical spring fixed on the ground as shown in the figure. The mass of the spring and the pan is negligible. When pressed slightly and released the mass executes a simple harmonic motion. The spring constant is 200 N/m. What should be the minimum amplitude of the motion, so that the mass gets detached from the pan ?(Take g =10m/s2 )
8.0 cm
10.0 cm
Any value less than 12.0 cm
4.0 cm
A particle is subjected to two mutually perpendicular simple harmonic motions such that is x and y coordinates are given by The path of the particle will be:
A straight line
A circle
An ellipse
A parabola
A particle executes simple harmonic motion of amplitude A. At what distance from the mean position its kinetic energy is equal to its potential energy ?
0.51 A
0.61 A
0.71 A
0.81 A