SATHEE: Gravitation - Result Question 13

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 $m g = \frac{G M m}{R^{2}}$

$∴ g = \frac{G M}{R^{2}} \Rightarrow M = \frac{g R^{2}}{G}$

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