A uniform pressure of 5.7 × 10⁵ N/m² is applied to all six sides of a copper cube.What is the percentage change in volume of the cube? (for copper,B = 14 × 10¹⁰ N/m²) A)0.00070% B)0.00040% C)0.0000020% D)0.00041%

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Quizplus · Accepted Answer

The percentage change in volume of the cube can be calculated using the formula for bulk modulus, $B = -\frac{\Delta P}{\Delta V/V}$, where $B$ is the bulk modulus, $\Delta P$ is the change in pressure, and $\Delta V/V$ is the fractional change in volume. Rearranging the formula gives $\Delta V/V = -\frac{\Delta P}{B}$. Given $\Delta P = 5.7 \times 10^5$ N/m$^2$ and $B = 14 \times 10^{10}$ N/m$^2$, the fractional change in volume is $-\frac{5.7 \times 10^5}{14 \times 10^{10}}$. Converting this fraction to a percentage gives approximately 0.00041%.

A Uniform Pressure of 5