$A$ gas molecule of mass $M$ at the surface of the Earth has kinetic energy equivalent to $0\,^{\circ}C$. If it were to go up straight without colliding with any other molecules,how high would it rise? Assume that the height attained is much less than the radius of the Earth. ($k_B$ is Boltzmann constant)

  • A
    $0$
  • B
    $\frac{273 k_B}{2Mg}$
  • C
    $\frac{546 k_B}{3Mg}$
  • D
    $\frac{819 k_B}{2Mg}$

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