Universal Gravitational Constant MCQ Questions and Answers
1. What does the universal gravitational constant G represent in Newton's law of gravitation?
A. The strength of gravitational attraction between two masses
B. The mass of the Earth
C. The acceleration due to gravity
D. The distance between two objects
Correct Answer:
The strength of gravitational attraction between two masses
Explanation:
The universal gravitational constant G is the proportionality constant that determines the strength of gravitational attraction between two masses.
2. What is the SI unit of the universal gravitational constant G?
A. N kg² m⁻²
B. N m² kg⁻²
C. kg m² N⁻²
D. N m kg⁻¹
Correct Answer:
N m² kg⁻²
Explanation:
From F = Gm₁m₂/r², the SI unit of G is N m² kg⁻².
3. What is the approximate value of the universal gravitational constant G?
A. 6.67 × 10⁻¹¹ N m² kg⁻²
B. 9.8 N m² kg⁻²
C. 3.0 × 10⁸ N m² kg⁻²
D. 1.6 × 10⁻¹⁹ N m² kg⁻²
Correct Answer:
6.67 × 10⁻¹¹ N m² kg⁻²
Explanation:
The universal gravitational constant has the approximate value 6.67 × 10⁻¹¹ N m² kg⁻².
4. In the formula F = Gm₁m₂/r², what does G remain for different pairs of masses?
A. Constant
B. Zero
C. Equal to the distance
D. Equal to the total mass
Correct Answer:
Constant
Explanation:
G is called universal because its value remains constant for all pairs of masses throughout the universe.
5. Which quantity is represented by the symbol G in the law of universal gravitation?
A. Gravitational field strength
B. Universal gravitational constant
C. Acceleration due to gravity
D. Mass density
Correct Answer:
Universal gravitational constant
Explanation:
The symbol G specifically denotes the universal gravitational constant in Newton's law of gravitation.
6. The value of G is the same on Earth and on the Moon because G is:
A. A local quantity
B. A universal constant
C. Dependent on the planet's mass
D. Dependent on the object's weight
Correct Answer:
A universal constant
Explanation:
G has the same value everywhere because it is a universal constant and does not depend on the location or the masses being considered.
7. If the value of G were larger, the gravitational force between two given masses would be:
A. Smaller
B. Larger
C. Unchanged in every case
D. Zero
Correct Answer:
Larger
Explanation:
Since gravitational force is directly proportional to G, increasing G would increase the force between two given masses.
8. Which expression gives the universal gravitational constant using gravitational force F, masses m₁ and m₂, and separation r?
A. G = Fr²/(m₁m₂)
B. G = Fm₁m₂/r²
C. G = m₁m₂/(Fr²)
D. G = Fr/(m₁m₂)
Correct Answer:
G = Fr²/(m₁m₂)
Explanation:
Rearranging F = Gm₁m₂/r² gives G = Fr²/(m₁m₂).
9. Why is the universal gravitational constant G called universal?
A. It is used only for objects on Earth
B. It has the same value for all masses and locations
C. It changes with the size of an object
D. It is equal to the mass of the universe
Correct Answer:
It has the same value for all masses and locations
Explanation:
G is called universal because its value is the same for gravitational interactions between any masses at any location.
10. What is the dimensional formula of the universal gravitational constant G?
A. [M⁻¹L³T⁻²]
B. [MLT⁻²]
C. [ML²T⁻²]
D. [M⁻¹L²T⁻¹]
Correct Answer:
[M⁻¹L³T⁻²]
Explanation:
Using G = Fr²/(m₁m₂), with force having dimensions [MLT⁻²], the dimensions of G are [M⁻¹L³T⁻²].
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