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The velocities of sound at the same temperature in two monoatomic gases of densities ₁ and ₂ are v₁ and v₂ respectively. If ₁ / ₂=4 , then the value of v₁ / v₂ is

Options

  1. A1 / 4
  2. B2
  3. C1 / 2
  4. D4.

Correct answer

C. 1 / 2

Step-by-step solution

Velocity of sound in the gas of density ₁ is v₁ and velocity of sound in the gas of density ₂ is v₂ . Velocity of sound in gas, v= P 1 . Therefore v₁ v₂ = ₂ ₁ = 1 4 = 1 2 .

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