Question

Two wires A and B are stretched by the same load. If the area of cross-section of wire 'A' is double that of 'B', then the stress on 'B' is

• A. Equal to that on A
• B. Twice that on A
• C. Half that on A
• D. Four times that on A

Answer 1

Answer: (B)

Twice that on A

Answer 2

$\frac{\text { Stress on } A}{\text { Stress on } B}=\frac{\frac{1}{A_{A}}}{\frac{F}{A_{B}}}=\frac{A_{B}}{A_{A}}$

Given $A_{A}=2 A_{B}$

$\frac{\text { Stress } A}{\text { Stress } B}=\frac{A_{B}}{2 A_{B}}=\frac{1}{2}$

$\therefore$ Stress $B=2$ Stress $(A)$