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Kinetic Theory

JEE Main level, single correct, medium

155 of 168

Question 155 of 168

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

Show answer and solution

Answer: (C) $\dfrac{m{\nu ^{-}}^{2}}{3{k}_{B}}$

{V}_{rms}=\sqrt{\dfrac{3{k}_{B}T}{m}}

v^{-}=\sqrt{\dfrac{3{k}_{B}T}{m}}

T=\dfrac{m{\left(v^{-}\right)}^{2}}{3{k}_{B}}

JEE Main question paper PDF

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JEE Main 2025 Apr 2 Shift 1 question paper

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More Physics practice

JEE Main Physics practice question on Kinetic Theory (Pressure and Energy of gas), with the answer and a step-by-step solution. Scan a question from your own book or paper to get a whiteboard video.

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

JEE Main question paper PDF

More Physics practice

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