An object is made of two equal parts by volume; one part has density \rho_{0} and the other part has density 2\rho_{0}. What is the average density of the object?
- A. 3\rho_{0}
- B. \frac{3}{2}\rho_{0} ✓
- C. \rho_{0}
- D. \frac{1}{2}\rho_{0}
Correct Answer: B. \frac{3}{2}\rho_{0}
Explanation
Average density is total mass divided by total volume. With equal volumes V, mass m_1 = \rho_0 V and m_2 = 2\rho_0 V. Average density = \frac{\rho_0 V + 2\rho_0 V}{2V} = \frac{3}{2}\rho_0.
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