Equal masses of two substances of densities ρ 1 and ρ 2 are mixed together. The | TestHub

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Equal masses of two substances of densities $ρ_{1}$ and $ρ_{2}$ are mixed together. The density of the mixture would be

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Answer:

D

Solution:

The density of the mixture is

$ρ = \frac{total mass}{total volume}$

$= \frac{m_{1} + m_{2} + m_{3} + .... + m_{n}}{\frac{m_{1}}{ρ_{1}} + \frac{m_{2}}{ρ_{2}} + \frac{m_{2}}{ρ_{3}} + .... + \frac{m_{n}}{ρ_{n}}}$

For two substances mixed together, we have

$ρ = \frac{m_{1} + m_{2}}{\frac{m_{1}}{ρ_{1}} + \frac{m_{2}}{ρ_{2}}} = \frac{(m_{1} + m_{2}) ρ_{1} ρ_{2}}{(m_{1} ρ_{2} + m_{2} ρ_{1})}$

Given m₁= m₂= m. Therefore, $ρ = \frac{2 ρ_{1} ρ_{2}}{(ρ_{2} + ρ_{1})}$

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:FluidSubtopic:Miscellaneous

⏱ 2mℹ️ Source: PYQ_2020

Physics - Fluid Question with Solution | TestHub

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