Question

Which of the following graphs correctly represents the relation between gravitational force of attraction (F) and the reciprocal of distance $\left(\frac{1}{r}\right)$ between two particles?

• A.
• B.
• C.
• D.

Answer 1

The correct option is A

According to newton’s law of gravitation:

$F=G\frac{M_1{M}_2}{r^2}\Rightarrow F\propto \frac{1}{r^2}(\because G,M_{1}and{M}_2\text{are constants})\Rightarrow F\propto {\left(\frac{1}{r}\right)}^2$

Comparing it with standard equation, $y=k{x}^2,$ we get the graph between F and $\frac{1}{r}$ for r > 0 as shown in the figure below:



Hence, the correct answer is option (a).