The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth, is closest to: [Boltzmann Constant $k_{\mathrm{B}}=1.38 \times 10^{-23} \mathrm{~J} / \mathrm{K}$ Avogadro Number $\mathrm{N}_{\mathrm{A}}=6.02 \times 10^{26} / \mathrm{kg}$ Radius of Earth : $6.4 \times 10^{6} \mathrm{~m}$ Gravitational acceleration on Earth $=10 \mathrm{~ms}^{-2}$ ]

Question:

The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth, is closest to:

[Boltzmann Constant $k_{\mathrm{B}}=1.38 \times 10^{-23} \mathrm{~J} / \mathrm{K}$

Avogadro Number $\mathrm{N}_{\mathrm{A}}=6.02 \times 10^{26} / \mathrm{kg}$

Radius of Earth : $6.4 \times 10^{6} \mathrm{~m}$

Gravitational acceleration on Earth $=10 \mathrm{~ms}^{-2}$ ]

1. $800 \mathrm{~K}$

2. $3 \times 10^{5} \mathrm{~K}$

3. $10^{4} \mathrm{~K}$

4. $650 \mathrm{~K}$

JEE Main Previous Year Single Correct Question of JEE Main from Physics Kinetic Teory chapter.

JEE Main Previous Year [8April 2019 II]

Correct Option: 3

Solution: