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MHT CET2010PhysicsKinetic Theory of Gases

The velocity of 4 gas molecules are given by 1 ~km / s , 3 ~km / s , 5 ~km / s and 7 ~km / s . Calculate the difference between average and RMS velocity.

Options

  1. A0.338
  2. B0.438
  3. C0.583
  4. D0.683

Correct answer

C. 0.583

Step-by-step solution

The average velocity aligned v_ av &= v₁+v₂+v₃ v_ n N &= 1+3+5+7 4 =4 ~km / s aligned Root mean square velocity v_ rms = v₁²+v₂²+v₃²+v₄²+ +v_ n ² N array l = 1+(3)²+(5)²+(7)² 4 = 21 =4.583 ~km / s array Difference between average velocity and root mean square velocity =4.583-4 =0.583 ~km / s

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