Gravitation - Result Question 13
13. What will be the formula of the mass in terms of $g, R$ and $G(R=$ radius of earth $)$
[1996]
(a) $g^{2} \frac{R}{G}$
(b) $G \frac{R^{2}}{g}$
(c) $G \frac{R}{g}$
(d) $g \frac{R^{2}}{G}$
Topic 3: Acceleration due to Gravity
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Answer:
Correct Answer: 13. (d)
Solution:
- (d) We know that $m g=\frac{G M m}{R^{2}}$
$\therefore g=\frac{G M}{R^{2}} \Rightarrow M=\frac{g R^{2}}{G}$