Question

A and B are two wires. The radius of A is twice that of B. They are stretched by the same load. Then the stress on B is(a) equal to that on A(b) four times that on A(c) two times that on A(d) half that on A

Answer 1

The stress on B is four times that on A.

Option (B) is correct.

Explanation:

rA = 2rB  ---- (1)

Stress = F /A

Stress ∝ 1 / r^2

Stress A / stress B = r^2B / r^2 A

Stress of B =  r^2B / r^2 A x Stress of A

Stress of B =(2rB)^2 / r^2B x Stress of A   ----- From equation (1)

Stress of B = 4r^2B / r^2b  x Stress of A

Stress on B = 4 . Stress on A

Thus the stress on B is four times that on A.

Also learn more

Calculate the value of stress in a wire of steel having radius of 2 mm when 10 KN of force acts on it.​?

https://brainly.in/question/9109721

Answer 2

Answer:

4 times that of A

Explanation: