Gravitational constant G dimensions: MCQ with Answer and Explanation

Gravitational constant G dimensions:
A. [M⁰L⁰T⁰]
B. [M⁻¹L³T⁻²]
C. [M⁻¹L²T⁻²]
D. [ML³T⁻²]
Answer: Option B
Solution (By JKSSB Mock Tests)
F = Gm₁m₂/r² ⇒ G = Fr²/(m₁m₂) = [MLT⁻²][L²]/[M²] = [M⁻¹L³T⁻²]. Memory aid: 'G dimensions: [M⁻¹L³T⁻²]; small value reflects weak gravity'. Dimensional analysis frequently tested in competitive exams.

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Practice More Physics Questions

Question #1
Atmospheric pressure at sea level is approximately:
A. 10⁷ Pa
B. 10² Pa
C. 10⁵ Pa
D. 10³ Pa

Correct Answer: Option C


Explanation:
Standard atmospheric pressure at sea level is 101,325 Pa, approximately 10⁵ Pa (or 1 bar, 760 mm Hg). This value is crucial for pressure calculations in fluids, thermodynamics, and meteorology. Option B (1000 Pa) is too low (about 1% of atmospheric), C and D are orders of magnitude off. Memory tip: 'Atmospheric pressure ≈ 10⁵ Pa = 100 kPa = 1 bar'. This factual knowledge is frequently tested in competitive exams as a baseline for pressure-related problems. Always use SI units (Pascal) unless specified otherwise.

This question belongs to: Science Physics
Question #2
Which of the following statements is correct for an object moving with constant speed?
A. It must have zero acceleration
B. Its velocity is constant
C. Its displacement equals distance
D. It may have acceleration

Correct Answer: Option D


Explanation:
Constant speed does not imply zero acceleration if direction changes, e.g., uniform circular motion has centripetal acceleration. Velocity may change direction. Displacement magnitude ≤ distance. So only option B is correct.

This question belongs to: Science Physics
Question #3
According to the Equation of Continuity in fluid dynamics, when water flows through a pipe of varying cross-section, the velocity of the fluid is:
A. Directly proportional to the cross-sectional area.
B. Directly proportional to the square of the cross-sectional area.
C. Independent of the cross-sectional area.
D. Inversely proportional to the cross-sectional area.

Correct Answer: Option D


Explanation:
The Equation of Continuity states that for an incompressible, non-viscous fluid in streamlined flow, the mass flow rate is constant. Therefore, A1V1 = A2V2, where A is the area of cross-section and V is the velocity. This means V is inversely proportional to A (V ∝ 1/A). As the pipe narrows, the fluid speeds up.

This question belongs to: Science Physics