The temperature, at which the root mean square velocity of hydrogen molecules equals their escape velocity from the earth is closest to : [Boltzmans Constant $k_B = 1.38\times10^{-23}\, J / K$ Avogadro number $N_A = 6.02\times10^{26}\, / kg$ Radius of Earth $: 6.4\times10^6\, m$ Gravitation acceleration on Earth $= 10\, ms^{-2}$]
A$800\,K$
B$10^4\,K$
C$3\times10^5\,K$
D$650\,K$
JEE MAIN 2019, Medium
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B$10^4\,K$
b $v_{m s}=\sqrt{\frac{3 R T}{m}} \quad v_{\text {escape }}=\sqrt{2 g R_{e}}$
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