Two wires $A$ and $B$ are stretched by the same load. The radius of wire $A$ is double the radius of wire…
Two wires $A$ and $B$ are stretched by the same load. The radius of wire $A$ is double the radius of wire $\mathrm{B}$. The stress on the wire $\mathrm{B}$ as compared to the stress on the wire
A is
twice
four times
half
equal
Solution
stress $=\frac{\text { Force }}{\text { Area }}$
$\therefore$ stress $\propto \frac{1}{\pi r^{2}}$
Thus, $\frac{S_{B}}{S_{A}}=\left[\frac{r_{A}}{r_{B}}\right]^{2}=(2)^{2} \Rightarrow S_{B}=4 S_{A}$