Physics Elasticity Question 91

Question: A and B are two wires. The radius of A is twice that of B. They are stretched by the some load. Then the stress on B is

[MP PMT 1993]

Options:

A) Equal to that on A

B) Four times that on A

C) Two times that on A

D) Half that on A

Show Answer

Answer:

Correct Answer: B

Solution:

$ r=\frac{r}{r} $ \ $ r\propto \frac{r}{\pi {{r}^{r}}} $

$ \frac{S _{B}}{S _{A}}={{\left( \frac{r _{A}}{r _{B}} \right)}^{2}}={{(2)}^{2}}\Rightarrow S _{B}=4S _{A} $