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Q.

At what temperature, hydrogen molecules will escape from the earth’s surface ? (Take mass of hydrogen molecule = 0.34×10-26 kg, Boltzmann constant = 1.38×10-23JK-1, Radius of earth = 6.4×106 m and acceleration due to gravity = 9.8 ms-2)

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a

1014 K

b

1024 K

c

102 K

d

104K

answer is D.

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Detailed Solution

Vrms=Ve;3KTm=2gRT=2mgR3KT=2×0.34×1026×9.8×6.4×1063×1.38×1023=104K

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