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MHT CET202019 Oct 2020Evening ShiftPhysicsKinetic Theory of GasesActual

The root mean square velocity of molecules of a gas is 200 ~m / s . What will be the root mean square velocity of the molecules, if the molecular weight is doubled and the absolute temperature is halved?

Options

  1. A50 ~m / s
  2. B100 ~m / s
  3. C200 ~m / s
  4. D100 2 ~m / s

Correct answer

B. 100 ~m / s

Step-by-step solution

(B) R.M.S. velocity C= 3 R T M C T M C^ C = T^ T M M^ = 1 2 1 2 = 1 4 = 1 2 C^ = C 2 = 200 2 =100 ~m / s

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