Q. If the distance between two masses is doubled, what happens to the gravitational force between them? (2020)
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A.
It doubles
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B.
It halves
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C.
It becomes one-fourth
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D.
It becomes four times
Solution
According to the inverse square law, if the distance is doubled, the force becomes 1/(2^2) = 1/4 of the original force.
Correct Answer: C — It becomes one-fourth
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Q. If the mass of the Earth were to double while its radius remains the same, what would happen to the acceleration due to gravity? (2022)
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A.
It would double
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B.
It would remain the same
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C.
It would halve
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D.
It would increase by a factor of four
Solution
If the mass of the Earth doubles, the acceleration due to gravity also doubles, as it is directly proportional to mass.
Correct Answer: A — It would double
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Q. The escape velocity from the surface of the Earth is approximately: (2019)
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A.
7.9 km/s
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B.
11.2 km/s
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C.
9.8 km/s
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D.
15 km/s
Solution
The escape velocity from the surface of the Earth is approximately 11.2 km/s.
Correct Answer: B — 11.2 km/s
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Q. The gravitational field strength at a distance r from a mass M is given by which formula? (2022)
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A.
GM/r^2
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B.
Gm/r^2
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C.
M/r^2
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D.
G/r^2
Solution
The gravitational field strength is given by E = GM/r^2.
Correct Answer: A — GM/r^2
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Q. The gravitational force between two objects is 10 N. If the distance between them is tripled, what will be the new force? (2022)
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A.
10 N
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B.
5 N
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C.
1.11 N
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D.
0.11 N
Solution
If the distance is tripled, the force becomes F/9, which is approximately 1.11 N.
Correct Answer: C — 1.11 N
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Q. The gravitational force is a function of which of the following? (2023)
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A.
Masses and distance
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B.
Masses only
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C.
Distance only
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D.
Masses and velocity
Solution
The gravitational force depends on the masses of the objects and the distance between them, as per Newton's law of gravitation.
Correct Answer: A — Masses and distance
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Q. The gravitational force is a: (2023)
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A.
Contact force
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B.
Non-contact force
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C.
Frictional force
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D.
Centripetal force
Solution
Gravitational force acts at a distance without any physical contact between the masses.
Correct Answer: B — Non-contact force
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Q. The gravitational potential energy of an object is defined as: (2023)
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A.
The work done against gravity
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B.
The kinetic energy of the object
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C.
The energy due to motion
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D.
The energy stored in the object
Solution
Gravitational potential energy is defined as the work done against gravity to move an object to a height.
Correct Answer: A — The work done against gravity
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Q. The gravitational potential energy of an object of mass m at a height h is given by: (2022)
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A.
mgh
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B.
gh/m
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C.
mg/h
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D.
mgh²
Solution
Gravitational potential energy is calculated using the formula U = mgh.
Correct Answer: A — mgh
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Q. The gravitational potential energy of an object of mass m at height h is given by which formula? (2023)
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A.
mgh
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B.
gh/m
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C.
mg/h
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D.
m/hg
Solution
The gravitational potential energy is given by the formula U = mgh, where m is mass, g is acceleration due to gravity, and h is height.
Correct Answer: A — mgh
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Q. What is the acceleration due to gravity at the surface of the Earth? (2022)
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A.
9.81 m/s²
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B.
10 m/s²
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C.
9.8 m/s²
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D.
8.9 m/s²
Solution
The standard acceleration due to gravity at the surface of the Earth is approximately 9.81 m/s².
Correct Answer: A — 9.81 m/s²
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Q. What is the gravitational field strength (g) at a distance r from the center of a planet of mass M? (2023)
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A.
GM/r^2
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B.
GM/r
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C.
GMr^2
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D.
G/Mr^2
Solution
The gravitational field strength at a distance r from the center of a planet is given by g = GM/r^2.
Correct Answer: A — GM/r^2
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Q. What is the gravitational field strength at a distance r from a mass M? (2022)
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A.
GM/r
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B.
GM/r^2
-
C.
Gm/r^2
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D.
Gm/r
Solution
The gravitational field strength (g) at a distance r from a mass M is given by g = GM/r^2.
Correct Answer: B — GM/r^2
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Q. What is the gravitational potential energy of a 2 kg mass at a height of 10 m above the ground? (Take g = 9.8 m/s²) (2023)
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A.
196 J
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B.
98 J
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C.
20 J
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D.
78 J
Solution
Gravitational potential energy (U) = mgh = 2 kg * 9.8 m/s² * 10 m = 196 J.
Correct Answer: A — 196 J
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Q. Which of the following factors does NOT affect the gravitational force between two objects? (2021)
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A.
Mass of the objects
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B.
Distance between the objects
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C.
Shape of the objects
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D.
Gravitational constant
Solution
The shape of the objects does not affect the gravitational force; only mass and distance do.
Correct Answer: C — Shape of the objects
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Q. Which of the following factors does NOT affect the gravitational force between two masses? (2023)
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A.
Mass of the first object
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B.
Mass of the second object
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C.
Distance between the objects
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D.
Color of the objects
Solution
The color of the objects does not affect the gravitational force between them.
Correct Answer: D — Color of the objects
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Q. Which of the following is the correct expression for gravitational potential energy (U) of an object of mass m at a height h? (2020)
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A.
mgh
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B.
mg/h
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C.
mgh^2
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D.
m^2gh
Solution
The gravitational potential energy is given by U = mgh, where h is the height above the reference point.
Correct Answer: A — mgh
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Q. Which planet has the highest gravitational acceleration? (2020)
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A.
Earth
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B.
Jupiter
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C.
Mars
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D.
Venus
Solution
Jupiter has the highest gravitational acceleration among the planets in our solar system, approximately 24.79 m/s².
Correct Answer: B — Jupiter
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