Question

A and B are two steel wires and the radius of A is twice that of B, if they are stretched by the same load, then the stress on B is ...........

• A. Four times that of A.
• B. Two times that of A.
• C. Three times that of A.
• D. Same as that A.

Answer 1

The correct option is A Four times that of A.

$\frac{StressonB}{StressonA}=\frac{r_A^2}{r_B^2}$

$\Rightarrow \text{Stress on B}/\text{Stress on A}=\frac{(2r_B{)}^2}{r_B^2}$

$\therefore$ $\frac{StressonB}{StressonA}=4$

Stress on B$=4\times$ Stress of A