Two tuning forks produce Lissajous’ figures of the shape of straight line, in 2 second. If one of the tuning forks has a frequency of 100 vib/sec. Find the possible of the other.
100.5,88.5
100.5,99.5
100.6,99.5
100.6,99.6
Whatever be the damping, the velocity-amplitude is maximum when the driving frequency is equal to the natural undamped frequency of the oscillator. This phenomenon is know as
Amplitude resonance
Velocity resonance
Frequency resonance
Force resonance
Two traveling waves, moving in the same direction along a stretched string, interfere with each other. The amplitude ym for each wave is 9.7 mm and the phase difference between them is 110o. What is the resultant amplitude of the wave formed by the interference of these two waves?
10 mm
11 mm
12 mm
13 mm
Consider a system oscillating about an equilibrium position under an external periodic force. Let x be its displacement from the equilibrium position at an instant during the oscillation. Its instantaneous velocity is dx/dt. The force acting upon the system at this instant is
A restoring force proportional to the displacement acting in the opposite direction
A frictional force proportional to the velocity but acting in the opposite direction
An external periodic force represented by F0 sin pt, where F0 is the maximum value of this force
All of the above
An observer standing at the sea-cost observes 54 waves reaching the coast per minute. If the wave length of waves is 10 m, find the velocity.
6 m/s
7 m/s
8 m/s
9 m/s
Assuming the earth to be a uniform sphere, the potential at any point on the surface of the earth with radius R, is expressed as
-gR
-GR2
-gR2
gR
The ratio of gravitational potential at the centre of the solid sphere to the gravitational potential on the surface of the sphere is
5 : 2
2 : 5
5 : 3
3 : 2
Two satellites of Jupiter, A and B have same masses and are orbiting around the Jupiter in circular orbits at altitudes R and 3R, where R is the radius of the Jupiter. The of their kinetic and potential energies will be
1 : 3
2 : 1
4 : 9
9 : 4
Which of the following are the correct statements about acceleration due to gravity in moving downward below the earth’s surface?
It decreases at a faster rate
It increases at a faster rate
It increases at a slower rate
It decreases at a slower rate
What is the horizontal velocity of a satellite when it is projected at 800 km above the surface of the earth so that it will have a circular orbit about the earth? (Given, radius of the earth is 6400 km)
17.5 km/sec
1.5 km/sec
27.5 km/sec
7.5 km/sec