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Ionization Enthalpy

A sample of m...

Question

A sample of monoatomic hydrogen gas contains n atoms all the third excited state. Find the minimum value of n so that on subsequent de-excitation all possible different energy photons are emitted.

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Solution

Initial state, $n_{i} = 3 f i n a l p o s s i b l e s t a t e s, n_{f} = 2, 1$
$∴$ position transitions: $3 \to 2 3 \to 1 2 \to 1$

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