JEE Physics · Hard

Kinetic Theory and Thermodynamics: RMS Speed MCQ

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RMS SpeedHardQuestion 31011

Question

Ratio of RMS speeds of oxygen (M = 32) and hydrogen (M = 2) at same temperature is:
  1. A
    1:4
    Correct
  2. B
    4:1
  3. C
    1:16
  4. D
    1:√2

Correct answer

1:4

Explanation

v_rms ∝ 1/√M. v_O₂/v_H₂ = √(M_H₂/M_O₂) = √(2/32) = 1/4.