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v₁ and v₂ are the velocities of sound at the same temperature in two monoatomic gases of densities $ρ$ ₁ and $ρ$ ₂ respectively. If $ρ_{1} / ρ_{2} = \frac{1}{4}$ then the ratio of velocities v₁ and v₂ will be

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Correct option is C

At given temperature and pressurev∝1ρ⇒v1v2=ρ2ρ1=41=2:1

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v1 and v2 are the velocities of sound at the same temperature in two monoatomic gases of densities ρ1 and ρ2 respectively. If ρ1/ρ2=14 then the ratio of velocities v1 and v2 will be

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Ready to Test Your Skills?

free study material

v₁ and v₂ are the velocities of sound at the same temperature in two monoatomic gases of densities $ρ$ ₁ and $ρ$ ₂ respectively. If $ρ_{1} / ρ_{2} = \frac{1}{4}$ then the ratio of velocities v₁ and v₂ will be