A gas molecule of mass $M$ at the surface of the Earth has kinetic energy equivalent to $0\,^oC$. If it were to go up straight without colliding with any other molecules, how high it would rise? Assume that the height attained is much less than radius of the earth. ($k_B$ is Boltzmann constant)
  • A$0$
  • B$\frac{{273{k_B}}}{{2Mg}}$
  • C$\frac{{546{k_B}}}{{3Mg}}$
  • D$\frac{{819{k_B}}}{{2Mg}}$
JEE MAIN 2014, Medium
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