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By how many folds the temperature of a gas would increase when the root mean square velocity of the gas molecules in a container of fixed volume is increased from 5 10^4 ~cm / s to 10 10^4 ~cm / s ?

Options

  1. ATwo
  2. BThree
  3. CSix
  4. DFour

Correct answer

D. Four

Step-by-step solution

r.m.s. velocity V _ rms = 3 R T M i.e., V ₁ ~V ₂ = T ₁ ~T ₂ 5 10^4 10 10^4 = 1 2 = T ₁ ~T ₂ T ₂=4 T ₁

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