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An electron collides with a free molecules initially in its ground state. The collision leaves the molecules in an excited state that is metastable and does not decay to the ground state by radiation. Let $\mathrm{K}$ be the sum of the initial kinetic energies of the electron and the molecule, and $\vec{P}$ the sum of their initial momenta. Let $\mathrm{K}^{\prime}$ and $\vec{P}$ 'represent the same physical quantities after the collision. Then -
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$K^{\prime} < K, \vec{P}=\vec{P}^{\prime}$
Collision of e $^{-}$lead to excitation of molecules so Collision is inelastic
$\therefore \mathrm{K}^{\prime} < \mathrm{K}$ and loss of kinetic energy go for excitation of molecules. Momentum remain conserved during collision.
$\overrightarrow{\mathrm{P}}=\overrightarrow{\mathrm{P}^{\prime}}$
$\therefore \mathrm{K}^{\prime} < \mathrm{K}$ and loss of kinetic energy go for excitation of molecules. Momentum remain conserved during collision.
$\overrightarrow{\mathrm{P}}=\overrightarrow{\mathrm{P}^{\prime}}$
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