Neet Solved Paper 2013 Question 12

Question: The following four wires are made of the same material. Which of these will have the largest extension when the same tension is applied?

Options:

A) Length = 50 cm, diameter = 0.5 mm

B) Length = 100 cm, diameter = 1 mm

C) Length = 200 cm, diameter = 2 mm

D) Length = 300 cm, diameter = 3 mm

Show Answer

Answer:

Correct Answer: A

Solution:

$ \Delta L=\frac{FL}{AY} $ or $ \Delta L\propto \frac{L}{d^{2}} $ $ [ \because A=\frac{\pi d^{2}}{4} ] $

Therefore, $ \Delta L $ will be maximum for that wire which $ \frac{L}{A} $ is maximum.