The bulk modulus of aluminum is Pa and that of copper is Pa.When identical size cubes of aluminum and copper are subjected to high pressure,what is the ratio of the change in volume of the aluminum cube to that of the copper cube?
A)0.50
B)2.0

Question

The bulk modulus of aluminum is  Pa and that of copper is  Pa.When identical size cubes of aluminum and copper are subjected to high pressure,what is the ratio of the change in volume of the aluminum cube to that of the copper cube?
A)0.50 
B)2.0

Quizplus · Accepted Answer

The ratio of the change in volume is given by:
$$\frac{\Delta V_{Al}}{\Delta V_{Cu}} = -\frac{V_0 (\Delta P)}{B_{Al}} \div -\frac{V_0 (\Delta P)}{B_{Cu}} = \frac{B_{Cu}}{B_{Al}} = \frac{11	imes 10^10}{11	imes 10^10	imes 2} = 0.5$$
where $V_0$ is the initial volume of the cubes, and $\Delta P$ is the change in pressure. Note that the negative signs in the formula cancel out. Therefore, the answer is B.

The Bulk Modulus of Aluminum Is Pa and That