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

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