Two wires A and B are stretched by the same load . If the areas of cross - section of wire A is double that of B . then the stress in B is

Options

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

Answer

B

Explanation

`("StressonA")/("StressonB")=(F/A_(A))/(F/A_(B))=A_(B)/A_(A)`
Given `A_(A)=2A_(B)`
`("StressA")/("StressB")=A_(B)/(2A_(B))=1/2`
`therefore` Stress B = 2 Stress (A)