With the referece of the above problem, the ratio of the stresses in the wires is

Options

A. `4:1`
B. `1:4`
C. `2:1`
D. `1:2`

Answer

B

Explanation

`("stress"_(1))/("stress"_(2))=(F)/(A_(1))xx (A_(2))/(F)`
`=(A_(2))/(A_(1)) = (r_(2)^(2))/(r_(1)^(2))`
`=(1)/(4)`