physics : class11 Dependence on Masses : Gravitational Force : Gravitation MCQ Questions and Answers
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Dependence on Masses
MCQ questions and answers.
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MCQ Questions
1. According to Newton's law of gravitation, the gravitational force between two bodies is directly proportional to the product of their:
A.
Masses
B.
Volumes
C.
Densities
D.
Temperatures
Correct Answer:
Masses
Explanation:
The gravitational force is given by F = Gm1m2/r², so it is directly proportional to the product of the two masses.
2. If the mass of one object is doubled while the other mass and separation remain unchanged, the gravitational force becomes:
A.
Half
B.
Twice
C.
Four times
D.
Unchanged
Correct Answer:
Twice
Explanation:
Since gravitational force is directly proportional to each mass, doubling one mass doubles the force.
3. If both masses involved in a gravitational interaction are doubled, the gravitational force becomes:
A.
Twice
B.
Three times
C.
Four times
D.
Unchanged
Correct Answer:
Four times
Explanation:
The force depends on the product m1m2. Doubling both masses changes the product to 2m1 × 2m2 = 4m1m2.
4. If the mass of one body is reduced to one-half while the other mass remains unchanged, the gravitational force becomes:
A.
One-fourth
B.
One-half
C.
Twice
D.
Unchanged
Correct Answer:
One-half
Explanation:
The gravitational force is directly proportional to the mass of each body, so halving one mass halves the force.
5. Two objects have masses m and 3m. For the same separation, their gravitational force is proportional to:
A.
m
B.
2m
C.
3m²
D.
9m²
Correct Answer:
3m²
Explanation:
The force is proportional to the product of the masses: m × 3m = 3m².
6. If the mass of each of two bodies is reduced to one-half, the gravitational force between them becomes:
A.
One-half
B.
One-fourth
C.
Twice
D.
Four times
Correct Answer:
One-fourth
Explanation:
The new mass product is (m1/2)(m2/2) = m1m2/4, so the force becomes one-fourth.
7. A body of mass m exerts a gravitational force F on another body. If its mass is changed to 5m, with all other factors unchanged, the new force is:
A.
F/5
B.
F
C.
5F
D.
25F
Correct Answer:
5F
Explanation:
Because the force is directly proportional to the changed mass, replacing m by 5m makes the force 5F.
8. For two bodies at a fixed separation, which pair of masses produces the greatest gravitational force?
A.
1 kg and 1 kg
B.
2 kg and 1 kg
C.
2 kg and 2 kg
D.
3 kg and 1 kg
Correct Answer:
2 kg and 2 kg
Explanation:
The force depends on the product of the masses. The products are 1, 2, 4, and 3 respectively, so 2 kg and 2 kg give the greatest force.
9. If one mass is made three times and the other mass is made two times, the gravitational force becomes:
A.
Five times
B.
Six times
C.
One-sixth
D.
Unchanged
Correct Answer:
Six times
Explanation:
The mass product changes by a factor of 3 × 2 = 6, so the gravitational force becomes six times greater.
10. Two objects exert a gravitational force F on each other. If the mass of one object becomes zero while the other remains unchanged, the gravitational force becomes:
A.
Zero
B.
F
C.
2F
D.
F/2
Correct Answer:
Zero
Explanation:
Since the gravitational force is proportional to the product of the two masses, a zero mass makes the product zero and hence the force zero.
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