NCERT · Class 9 · Science · GravitationThe formula relating acceleration due to gravity ($g$) and the universal gravitational constant ($G$) is:
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Step-by-Step Solution
The relationship is given by $g = \frac{GM}{R^2}$, where $M$ is the mass of the earth and $R$ is the radius of the earth, derived by equating the gravitational force to weight ($mg$).
Detailed Options Breakdown
Option : g = G M R
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Gravitation.
Option 1: g = G M / R² (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: g = G R² / M
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Gravitation.
Option 3: g = M R² / G
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Gravitation.
💡 Study Guide: This question tests core syllabus concepts from Gravitation. For formulas, key summaries, and mock exam reference guides, read the full Gravitation Revision Notes.