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To leave a state and decay to a lower energy state, the electron must lose energy. In metastable states, there are no lower energy state to go to that have strongly allowed transitions (that is simple emission of a photon, diplole transititions) and so the electron must decay by slower, less probable means (like two photon decay, magnetic dipole decay). Hence, it stays in that state for longer.

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Q: How electrons can stay in the metastable state for longer time?
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