Wave Mechanics Question 526

Question: The pressure in an explosion chamber is 345 MPa. What would be the percent change in volume of a piece of copper subjected to this pressure? The bulk modulus for copper is 138 $ Gpa $ $ (=138\times 10^{9}Pa) $

Options:

A) 0.1%

B) 0.5%

C) 0.25%

D) 0.2%

Show Answer

Answer:

Correct Answer: C

Solution:

[c] The bulk modulus is defined as $ B=-\frac{\Delta p}{\Delta V/V} $ , where the minus sign is inserted because $ \Delta V $ is negative when $ \Delta p $ is positive. $ 100| \frac{\Delta V}{V} |=100\frac{\Delta p}{B}=100\frac{345\times 10^{6}}{138\times 10^{9}}=0.25% $



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