At what temperature is \( v_{\mathrm{rms}} \) of \( \mathrm{H}_{2} \) molecules equal to the esc...

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At what temperature is \( v_{\mathrm{rms}} \) of \( \mathrm{H}_{2} \) molecules equal to the escape speed from earth's surface. What is the corresponding temperature for escape of hydrogen from moon's surface? Given, \( g_{m}=1.6 \mathrm{~m} / \mathrm{s}^{2}, R_{e}=6367 \mathrm{~km} \) and \( R_{m}=1750 \mathrm{~km} \).
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