$\begin{aligned}
& \mathrm{V}{\mathrm{ms}}=\sqrt{\frac{3 \mathrm{RT}}{\mathrm{M}}} \
& \mathrm{~V}{\mathrm{rms}}^2=3 \mathrm{RT} / \mathrm{M}
\end{aligned}Hencewecanconcludethat\mathrm{V}_{\mathrm{rms}}^2isdirectlyproportionaltotemperature\mathrm{y}=\mathrm{mx}\Rightarrow$ Graph will be straight line
JEE Main 2025 — Physics Thermodynamics
2025mcqmedium
For a particular ideal gas which of the following graphs represents the variation of mean squared velocity of the gas molecules with temperature?
Official previous-year question
Held on 28 Jan 2025 · Verified 6 Jul 2026.
Options
- A
- B
- C
- D
Did you get this right?
Sign in to track your attempts and accuracy.
Your note
Sign in to keep a private note on this question. Nothing you write is ever public.
JEE Main Thermodynamics in other years
More JEE Main Thermodynamics questions
An ideal gas at pressure $P$ and temperature $T$ is expanding such that $PT^3 = $ constant. The coefficient of volume expansion of the gas is _______.
2026medium
In the following $p-V$ diagram the equation of state along the curved path is given by $(V-2)^{2}=4 a p$ where $a$ is a constant. The total work done in the closed path is 
2026hard
The r.m.s. speed of oxygen molecules at $47^{\circ} \mathrm{C}$ is equal to that of the hydrogen molecules kept at $\_\_\_\_$ ${ }^{\circ} \mathrm{C}$. (Mass of oxygen molecule/mass of hydrogen molecule $=32 / 2$)
2026easy
A gas of certain mass filled in a closed cylinder at a pressure of 3.23 kPa has temperature $50^{\circ} \mathrm{C}$. The gas is now heated to double its temperature. The modified pressure is $\_\_\_\_$ Pa. Note: Volume is constant.
2026easy
A cylindrical tube $A B$ of length $l$, closed at both ends contains an ideal gas of 1 mol having molecular weight $M$. The tube is rotated in a horizontal plane with constant angular velocity $\omega$ about an axis perpendicular to $A B$ and passing through the edge at end $A$, as shown in the figure. If $P_{A}$ and $P_{B}$ are the pressures at $A$ and $B$ respectively, then (Consider the temperature is same at all points in the tube) 
2026hard
Other Physics topics for JEE Main
Keep practicing Thermodynamics
Work through every JEE Main Thermodynamics PYQ, year by year.