Physics · Kinetic Theory of Gases

JEE Main 2024 — 30 January, Shift 1 — Question 44

At which temperature the r.m.s. velocity of a hydrogen molecule equal to that of an oxygen molecule at 47∘C47^{\circ} \mathrm{C} ?

  1. Option A:

    80 K

  2. Option B:

    -73 K

  3. Option C:

    4 K

  4. Option D:

    20 K

    Correct

Answer: D

Step-by-step solution

3RT2=3R(320)32\sqrt{\frac{3 R T}{2}}=\sqrt{\frac{3 R(320)}{32}} T=32016=20KT=\frac{320}{16}=20 K

Answer key and solution verified before publishing.

Practise Kinetic Theory of Gases

Start with this question, then two more from the same chapter — with a tutor that explains every step. Free.

Exam
JEE Main 2024
Subject
Physics
Chapter
Kinetic Theory of Gases
Topic
Pressure of Gas and Different speeds of Gas Molecules
At which temperature the r.m.s. velocity of a hydrogen molecule equal… | JEE Main 2024 PYQ with Solution · DhiX AI