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

Subtopic:  Orbital velocity |
 72%
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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

Subtopic:  Newton's Law of Gravitation |
 87%
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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

Subtopic:  Gravitational Potential Energy |
 67%
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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) 113 km/s

(3) 113 km/s                     

(4) 33 km/s

Subtopic:  Escape velocity |
 88%
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The mean radius of the earth is R, its angular speed on its own axis is ω 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/ω                   

(2) R2ω2/g

(3) Rg/ω2                    

(4) R2g/ω2

Subtopic:  Orbital velocity |
 58%
From NCERT
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A satellite whose mass is m, is revolving in a circular orbit of radius r, around the earth of mass M. Time of revolution of the satellite is:

1. Tr5GM

2. Tr3GM

3. TrGM2/3

4. Tr3GM2/4

Subtopic:  Kepler's Laws |
 81%
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Suppose the gravitational force varies inversely as the nth power of distance then the time period of a planet in circular orbit of radius R around the sun will be proportional to:

1. Rn+12                 

2. Rn-12

3. Rn                         

4. Rn-22  

Subtopic:  Newton's Law of Gravitation |
 64%
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The orbital speed of an artificial satellite very close to the surface of the earth is Vo. Then the orbital speed of another artificial satellite at a height equal to three times the radius of the earth is 

(a) 4 V0                    (b) 2 V0

(c) 0.5V0                   (d) 4 V0

Subtopic:  Orbital velocity |
 75%
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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

Subtopic:  Satellite |
 70%
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In order to make the effective acceleration due to gravity equal to zero at the equator, the angular velocity of rotation of the earth about its axis should be (g=10 ms-2 and radius of earth is 6400 kms)

(1) 0 rad/sec                   

(2) 1800 rad/sec

(3) 180 rad/sec               

(4) 18 rad/sec

Subtopic:  Acceleration due to Gravity |
 71%
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