Each molecule of nitrogen gas heated in a vessel to a temperature of 5000K has an average energy `E_(1)`. Some molecule of the gas escape into atmosphere at 300K. Due to collision with air molecules, average kinetic energy of the nitrogen molecule changes to `E_(2)`. Find the radio `E_(1)//E_(2)`.

Options

A. `(7)/(6)`
B. `(3)/(7)`
C. `(6)/(7)`
D. `(7)/(3)`

Answer

D

Explanation

AT T=5000K
`E_(1)=fxx(1)/(2)KT=7xx(1)/(2)Kxx5000`
=17,500K
`E_(2)=fxx(1)/(2)KT`
`5xx(1)/(2)Kxx300`
750K
`E_(1)//E_(2)=7//3`