Question

Five point masses $m$ each are placed at five corners of a regular pentagon. Distance of any corner from centre is $r.$ Match the following two columns.

Answer 1

Resultant of five field strength vectors of equal magnitude acting at same angles is zero.

(b) $V=-\frac{5GMm}{r}$

(e) If ${\overrightarrow{E}}_5$ is removed then resultant of rest four vectors is equal and opposite of ${\overrightarrow{E}}_5$.

$\therefore$ $\left|{\overrightarrow{E}}_{net}\right|=\left|{\overrightarrow{E}}_5\right|=\frac{Gm}{r^2}$

(d) $V=-\frac{4Gm}{r}$