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JEE Main 20241 FebruaryEvening Shift
Exam
JEE Main
Year
2024
Date
1 February
Shift
Evening Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2024 · 1 February · Evening Shift · Physics · Kinetic Theory of Gases

If the root mean square velocity of hydrogen molecule at a given...

If the root mean square velocity of hydrogen molecule at a given temperature and pressure is 2kms−1,2km{s}^{- 1}, the root mean square velocity of oxygen at the same condition in kms−1km{s}^{- 1} is:

Options

  1. A2.02 . 0
  2. B0.50 . 5
  3. C1.51 . 5
  4. D1.01 . 0

Correct answer

B. 0.50 . 5

Step-by-step solution

Root mean square velocity is given by, Vrms=3RTM{V}_{rms} = \sqrt{\dfrac{3RT}{M}}

Therefore, V1V2=M2M1⇒2V2=322\dfrac{{V}_{1}}{{V}_{2}} = \sqrt{\dfrac{{M}_{2}}{{M}_{1}}} ⇒ \dfrac{2}{{V}_{2}} = \sqrt{\dfrac{32}{2}}

⇒V2=0.5kms−1⇒ {V}_{2} = 0 . 5km{s}^{- 1}

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