Kinetic Theory

JEE Main level, single correct, medium

49 of 168

Question 49 of 168

Consider a mixture of gas molecule of types A,BA,B and CC having masses mA<mB<mC.{m}_{A}\lt {m}_{B}\lt {m}_{C}. The ratio of their root mean square speeds at normal temperature and pressure is:

Show answer and solution

Answer: (D) 1vA<1vB<1vC\dfrac{1}{{v}_{A}}\lt \dfrac{1}{{v}_{B}}\lt \dfrac{1}{{v}_{C}}

Vrms=3RTM{V}_{rms}=\sqrt{\dfrac{3RT}{M}}
mA<mB<mC{m}_{A}\lt {m}_{B}\lt {m}_{C}
⇒VA>VB>VC\Rightarrow {V}_{A}\gt {V}_{B}\gt {V}_{C}
⇒1VA<1VB<1VC\Rightarrow \dfrac{1}{{V}_{A}}\lt \dfrac{1}{{V}_{B}}\lt \dfrac{1}{{V}_{C}}

JEE Main question paper PDF

Open a shift to read the full paper on this page, or download it.

JEE Main 2025 Apr 2 Shift 1 question paper

Open Download PDF

Opening paper…

Explain it as a whiteboard videoStep-by-step, in Hinglish or English. Your first video needs no login.Solved it on paper but got it wrong?Upload a photo of your working. Mistake Doctor marks the exact line that broke.

More Physics practice

JEE Main Physics practice question on Kinetic Theory (Speed 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.