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JEE Main202127 Aug 2021Evening ShiftPhysicsKinetic Theory of GasesActual

If the R.M.S. speed of oxygen molecules at 0 ° C is 160 m s - 1 . Find the R.M.S. speed of hydrogen molecules at 0 ° C .

Options

  1. A40   m   s - 1
  2. B80   m   s - 1
  3. C640   m   s - 1
  4. D332   m   s - 1

Correct answer

C. 640   m   s - 1

Step-by-step solution

Recall the formula of root mean square speed, v R M S = 3 R T M , ⇒ v R M S O 2   v R M S H 2 = M H 2   M O 2 = 2 32 = 1 4 ⇒ v RMS H 2 = 4   v RMS O 2 = 4 × 160 = 640   m s - 1

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