Question

Two forces $F_1$ and $F_2$ are applied on two rods $P$ and $Q$ of same materials such that elongation in rods are same. If ratio of their radii is $x : y$ and ratio of length is $m : n$, then ratio of $F_1 : F_2$ is

• A. $\bigg(\frac{y}{x}\bigg)^2\frac{ n}{m}$
• B. $\bigg(\frac{x}{y}\bigg)^2 \frac{n}{m}$
• C. $\bigg(\frac{y}{x}\bigg)^2 \frac{m}{n}$
• D. $\bigg(\frac{y}{x}\bigg)^2 \frac{m}{n}$

Answer 1

Answer: (B)

$\bigg(\frac{x}{y}\bigg)^2 \frac{n}{m}$

Answer 2

The correct option is (B): $\bigg(\frac{x}{y}\bigg)^2 \frac{n}{m}$