\( \mathrm{P} \) The temperature, at which the root mean square vel...

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\( \mathrm{P} \)
The temperature, at which the root mean square velocity of
W hydrogen molecules equals their escape velocity from the earth, is closest to
[Boltzmann Constant \( k_{B}=1.38 \times 10^{-23} \mathrm{~J} / \mathrm{K} \)
Avogadro Number \( N_{A}=6.02 \times 10^{26} / \mathrm{kg} \)
Radius of Earth : \( 6.4 \times 10^{6} \mathrm{~m} \)
Gravitational acceleration on Earth \( =10 \mathrm{~ms}^{-2} \) ]
[JEE (Main) 2019]
(a) \( 800 \mathrm{~K} \)
(b) \( 10^{4} \mathrm{~K} \)
(c) \( 3 \times 10^{5} \mathrm{~K} \)
(d) \( 650 \mathrm{~K} \)
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