Question:
Equal masses of two substances of densities _1 and _2 are mixed. Density of mixture is:
Equal masses of two substances of densities _1 and _2 are mixed. Density of mixture is:
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Equal masses → Harmonic mean
Equal volumes → Arithmetic mean
Updated On: Jun 10, 2026
- _1 + _22
- 2_1_2_1 + _2
- _1_2_1 + _2
- _1 + _22_1_2
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The Correct Option is B
Solution and Explanation
Let equal masses = m
\[
V_1 = \frac{m}{\rho_1}, \quad V_2 = \frac{m}{\rho_2}
\]
Total volume:
\[
V = m\left(\frac{1}{\rho_1} + \frac{1}{\rho_2}\right)
\]
Total mass = 2m
\[
\rho_m = \frac{2m}{V}
\]
\[
\rho_m = \frac{2\rho_1\rho_2}{\rho_1 + \rho_2}
\]
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