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Gravitation Problems

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Gravitation Practice Paper

Question 1
The radius and mass of earth are increased by 0.5%. Which of the following statements are true at the surface of the earth
A
Escape velocity will remain unchanged
B
g will decrease
C
g will increase
D
Potential energy will remain unchanged
Question 2
A satellite S is moving in an elliptical orbit around the earth. The mass of the satellite is very small compared to the mass of earth
A
The angular momentum of S about the centre of the earth changes in direction but its magnitude remains constant
B
The acceleration of S is always directed towards the centre of the earth
C
The total mechanical energy of S varies periodically with time
D
The linear momentum of S remains constant in magnitude
Question 3
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
A
1/3
B
1/2
C
1/5
D
1/4
Question 4
A geostationary satellite orbits around the earth in a circular orbit of radius 36000 km. Then, the time period of a satellite orbiting a few hundred kilometres above the earth’s surface (REarth = 6400 km) will approximately be
A
1/2 h
B
1 h
C
2 h
D
4 h
Question 5
If the radius of the earth were to shrink by 1% its mass remaining the same, the acceleration due to gravity on the earth's surface would
A
Increase by 2%
B
Decrease by 2%
C
Remain unchanged
D
Increase by 1%
Question 6
If the distance between the earth and the sun becomes half its present value, the number of days in a year would have been
A
64.5
B
182.5
C
730
D
129
Question 7
A body of mass m is taken from earth surface to the height h equal to radius of earth, the increase in potential energy will be

Related: BITSAT Mathematics Practice Questions

A
½ mgR
B
2 mgR
C
¼ mgR
D
mgR
Question 8
A satellite is launched into a circular orbit of radius R around the earth. A second satellite is launched into an orbit of radius (1.01)R. The period of the second satellite is larger than that of the first one by approximately
A
1.5%
B
0.5%
C
1.0%
D
3.0%
There are 8 questions to complete.
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Vishal Arora

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