{An object is made of two equal parts by volume; one part has density } ₀ {, and the other part has density } 2₀ {. What is the average density of the object?}

Correct Answer is : 32ρ03/2₀23ρ0

Correct Answer is : 32ρ03/2₀23ρ0

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UPSC NDA 2 2022 General Ability Solved Paper

Question : 63 of 150

Marks: +1, -0

\text{An object is made of two equal parts by volume; one part has density } \rho_{0} \text{, and the other part has density } 2\rho_{0} \text{. What is the average density of the object?}

Solution:

Concept:

The average density of an object equals its total mass divided by its total volume.

Explanation:

Let each part have volume

V

Mass of the first part:

m_1 = \rho_0 V

Mass of the second part:

m_2 = 2\rho_0 V

Total mass:

m = m_1 + m_2 = 3\rho_0 V

Total volume:

V + V = 2V

Average density:

\rho_{\text{avg}} = \frac{\text{total mass}}{\text{total volume}} = \frac{3\rho_0 V}{2V} = \frac{3}{2}\rho_0

Answer:

\frac{3}{2}\rho_0

(Option B).

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