The average translational kinetic energy of a molecule in a gas is $E_1$. The kinetic energy of an electron $(e)$ accelerated from rest through a potential difference of $V$ volts is $E_2$. The temperature at which $E_1 = E_2$ is possible (assuming the mass of the molecule and electron are the same) is: (where $N$ is Avogadro's number, $e$ is the elementary charge, $R$ is the gas constant)

  • A
    $\frac{2VNe}{3R}$
  • B
    $\frac{VNe}{2R}$
  • C
    $\frac{3NeV}{2R}$
  • D
    $\frac{5NeV}{3R}$

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