Physics Elasticity Question 64

Question: When a force is applied on a wire of uniform cross-sectional area $ 3\times {{10}^{-6}},m^{2} $ and length 4m, the increase in length is 1 mm. Energy stored in it will be $ (Y=2\times 10^{11},N/m^{2}) $

[MP PET 1995; Pb. PET 2002]

Options:

A) 6250 J

B) 0.177 J

C) 0.075 J

D) 0.150 J

Show Answer

Answer:

Correct Answer: C

Solution:

$ U=\frac{1}{2}\times \frac{YAl^{2}}{L} $

$ =\frac{1}{2}\times \frac{2\times 10^{11}\times 3\times {{10}^{-6}}\times {{(1\times {{10}^{-3}})}^{2}}}{4} $

$ =0.075\ J $