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NEET2004PhysicsKinetic Theory of GasesActual

v_ r m s , v_ a v and v_ m p are root mean square, average and most probable speeds of molecules of a gas obeying Maxwellian velocity distribution. Which of the following statements is correct?

Options

  1. Av_ m s < v_ a v < v_ m p
  2. Bv_ r m s >v_ a v >v_ m p
  3. Cv_ m p < v_ r m s < v_ a v
  4. Dv_ m p >v_ r m s >v_ v .

Correct answer

B. v_ r m s >v_ a v >v_ m p

Step-by-step solution

aligned & v_ r m s = 3 K_B T m =1.73 K_B T m & v_ a v = 8 K_B T m =1.60 K_B T m & v_ m p = 2 K_B T m =1.41 K_B T m aligned From these equations, v_ r m s >v_ a v >v_ m p .

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