The temperature, at which the root mean square mean square velocity of hydrogen molecules equals their escape velocity from the earth, is closest to : [Boltzmann Constant k_B =1.38 10^-23J/K Avogadro…

Question

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

k_{B} = 1.38 \times 10^{- 23}

J/K
Avogadro Number

N_{A} = 6.02 \times 10^{26} / kg

Radius of Earth :

6.4 \times 10^{6} m

Gravitational acceleration on Earth

= 10 ms^{- 2}

]

Accepted Answer

Correct answer: C. (c) JEE Main 2019 v_ rms=v_e 3 RTM=11.2 10^3 Or 3 kTm=11.2 10^3 Or 3 1.38 10^-23T2 10^-3=11.2 10^3 ∴v=10^4K

Solution

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