Physics Elasticity Question 68

Question: The work per unit volume to stretch the length by 1% of a wire with cross sectional area of $ 1,mm^{2} $ will be. $

[Y=9\times 10^{11},N/m^{2}] $ [RPET 1999]

Options:

A) $ 9\times 10^{11},J $

B)$ 4.5\times 10^{7},J $

C) $ 9\times 10^{7}J $

D)$ 4.5\times 10^{11},J $

Show Answer

Answer:

Correct Answer: B

Solution:

$ U=\frac{1}{2}\times Y\times {{(r)}^{2}}=\frac{1}{2}\times 9\times 10^{11}\times {{\left( \frac{1}{100} \right)}^{2}} $

$ =4.5\times 10^{7}\ J $