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JEE Main 20199 AprilMorning Shift
Exam
JEE Main
Year
2019
Date
9 April
Shift
Morning Shift
Subject
Physics
Chapter
Kinetic Theory of Gases

JEE Main 2019 · 9 April · Morning Shift · Physics · Kinetic Theory of Gases

An HCl molecule has rotational, translational and vibrational...

An HClHCl molecule has rotational, translational and vibrational motions. If the rms velocity of HClHCl molecules in its gaseous phase is ν−\overset{-}{ν} , m is its mass and kB{k}_{B} is Boltzmann's constant, then its temperature will be:

Options

  1. Amν−25kB\dfrac{m{\overset{-}{ν}}^{2}}{5{k}_{B}}
  2. Bmν−26kB\dfrac{m\overset{-}{ν}2}{6{k}_{B}}
  3. Cmν−23kB\dfrac{m\overset{-}{ν}2}{3{k}_{B}}
  4. Dmν−27kB\dfrac{m{\overset{-}{ν}}^{2}}{7{k}_{B}}

Correct answer

C. mν−23kB\dfrac{m\overset{-}{ν}2}{3{k}_{B}}

Step-by-step solution

{V}_{rms} = \sqrt{\dfrac{3{k}_{B}T}{m}}<br/><br />\overset{-}{v} = \sqrt{\dfrac{3{k}_{B}T}{m}}<br/><br />T = \dfrac{m{\left(\overset{-}{v}\right)}^{2}}{3{k}_{B}}
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