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Question 31184
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Simple Harmonic Motion: Adiabatic Bulk Modulus MCQ

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Adiabatic Bulk ModulusHardQuestion 31184

Question

Speed of sound in an ideal gas is √(γP/ρ) because compression and rarefaction in sound are adiabatic. If γ doubles (at same P, ρ), speed:
  1. A
    Doubles
  2. B
    √2 times
    Correct
  3. C
    Quadruples
  4. D
    √(γ) times

Correct answer

√2 times

Explanation

v_sound = √(γP/ρ) ∝ √γ. If γ doubles, v → √2 × v.

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