The time period of a geostationary satellite is
1. 24 hours
2. 12 hours
3. 365 days
4. One month
The orbital velocity of Earth's satellite near the surface is 7 km/s. When the radius of the orbit is 4 times more than that of Earth's radius, then orbital velocity in that orbit is:
1. 3.5 km/s
2. 7 km/s
3. 72 km/s
4. 14 km/s
A mass M is split into two parts, m and (M–m), which are then separated by a certain distance. What ratio of m/M maximizes the gravitational force between the two parts
1. 1/3
2. 1/2
3. 1/4
4. 1/5
Two identical satellites are at R and 7R away from earth surface, the wrong statement is (R = Radius of earth)
1. Ratio of total energy will be 4
2. Ratio of kinetic energies will be 4
3. Ratio of potential energies will be 4
4. Ratio of total energy will be 4 but ratio of potential and kinetic energies will be 2
For a satellite, the escape velocity is 11 km/s. If the satellite is launched at an angle of 60° with the vertical, then escape velocity will be:
1. 11 km/s
2. 11√3 km/s11√3 km/s
3. 11√3 km/s11√3 km/s
4. 33 km/s
The mean radius of the earth is R, its angular speed on its own axis is ωω and the acceleration due to gravity at the earth's surface is g. The cube of the radius of the orbit of a geostationary satellite will be -
1. R2g/ωR2g/ω
2. R2ω2/gR2ω2/g
3. Rg/ω2Rg/ω2
4. R2g/ω2R2g/ω2
A satellite whose mass is mm, is revolving in a circular orbit of radius rr, around the earth of mass MM. Time of revolution of the satellite is:
1. T∝r5GMT∝r5GM
2. T∝√r3GMT∝√r3GM
3. T∝√rGM23T∝√rGM23
4. T∝√r3GM24T∝√r3GM24
Suppose the gravitational force varies inversely as the nthnth
1. R(n+12)R(n+12)
2. R(n−12)R(n−12)
3. RnRn
4. R(n−22)R(n−22)
The orbital speed of an artificial satellite very close to the surface of the earth is VoVo. Then the orbital speed of another artificial satellite at a height equal to three times the radius of the earth is
1. 4 V04 V0
2. 2 V02 V0
3. 0.5V00.5V0
4. 4 V04 V0
The distance of a geostationary satellite from the centre of the earth (Radius R = 6400 km) is nearest to:
1. 5R
2. 7R
3. 10R
4. 18R