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The temperature ,a t which the root mean...

The temperature ,a t which the root mean square velcity of hydrogen molecules equals their escape velocity from the earth, is closed to:
[Boltzmann Constant `k_(B)=1.38xx10^(-23)j//K` Avogadro Number `N_(A)=6.02xx10^(26)//Kg`
Radius of Earth :`6.4xx10^(6)m`
Gravitational acceleration
On earth =`10ms^(-2)]`

A

`10^4 k`

B

`800 K`

C

`650 K`

D

`3 xx10^5 K`

Text Solution

Verified by Experts

The correct Answer is:
A
`V_(ms)=sqrt((3k_bN_AT)/(M)), " "V_(e )= sqrt(2gR)`
Equating the two we get `T=10^(4)K`.
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