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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 meta stable and does not decay to the ground state by radiation. Let \( K \) be the sum of the initial kinetic energies of the electron and the molecule, and \( \vec{P} \) the sum of their initial momenta. Let \( K^{\prime} \) and \( \vec{P}^{\prime} \) represent the same physical quantities after the collision. Then [KVPY 2011]
(a) \( K=K^{\prime}, \vec{P}=\vec{P} \)
(b) \( K^{\prime}K, \vec{P}=\vec{P}^{\prime} \)
(c) \( K=K^{\prime}, \vec{P} \neq \vec{P} \)
(d) \( K^{\prime}K^{\prime}, \vec{P} \neq \vec{P}^{\prime} \)
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