COMEDK · Physics · 9. Gravitation
If \(M\) is the mass of the earth and \(R\) its radius, the ratio of the gravitational acceleration and the gravitational constant is
- A \(\frac{R^{2}}{M}\)
- B \(\frac{M}{R^{2}}\)
- C \(M R^{2}\)
- D \(\frac{M}{R}\)
Answer & Solution
Correct Answer
(B) \(\frac{M}{R^{2}}\)
Step-by-step Solution
Detailed explanation
The gravitational acceleration on earth is given by \(\begin{aligned} g &=\frac{F}{m}=\frac{G M m}{R^{2} \times m}=\frac{G M}{R^{2}} \\ \therefore \quad \frac{g}{G} &=\frac{M}{R^{2}} \end{aligned}\)
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