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

Show Answer

Answer:

Correct Answer: 13. (d)

Solution:

  1. (d) We know that $m g=\frac{G M m}{R^{2}}$

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