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The number of spectral lines emitted by atomic hydrogen that is in the $$4^{th}$$ energy level, is
The number of spectral lines emitted when an electron transitions from energy level $$n$$ to all lower levels is given by:
$$ \text{Number of lines} = \frac{n(n-1)}{2} $$
For $$n = 4$$:
$$ \text{Number of lines} = \frac{4 \times 3}{2} = 6 $$
The possible transitions are: $$4 \to 3$$, $$4 \to 2$$, $$4 \to 1$$, $$3 \to 2$$, $$3 \to 1$$, $$2 \to 1$$.
The correct answer is Option 3: 6.
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