Physics Elasticity Question 140

Question: In which case there is maximum extension in the wire, if same force is applied on each wire

[AFMC 1997]

Options:

A) L = 500 cm, d = 0.05 mm

B) L = 200 cm, d = 0.02 mm

C) L = 300 cm, d = 0.03 mm

D) L = 400 cm, d = 0.01 mm

Show Answer

Answer:

Correct Answer: D

Solution:

$ l\propto \frac{L}{r^{2}} $ (Y and F are constant) Maximum extension takes place in that wire for which the ratio of $ \frac{L}{r^{2}} $ will be maximum.