Physics Elasticity Question 169

Question: Four identical rods are stretched by same force. Maximum extension is produced in

Options:

A) $ L=10cm,,,D=1,mm $

B) $ L=100,cm,,D=,2mm $

C)$ L=200,cm,,D=,3mm $

D) $ L=300,cm,,D=,4,mm $

Show Answer

Answer:

Correct Answer: B

Solution:

$ l=\frac{FL}{\pi r^{2}Y} $ \ $ l\propto \frac{L}{r^{2}} $ Ratio of $ \frac{L}{r^{2}} $ is maximum for wire in option .