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(B) The number of spectral lines emitted when an electron transitions from an excited state $n$ to the ground state is given by the formula $N = \frac

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$3$

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(B) The number of spectral lines emitted when an electron transitions from an excited state $n$ to the ground state is given by the formula $N = \frac{n(n - 1)}{2}$.Given $n = 3$,we substitute the value into the formula:$N = \frac{3(3 - 1)}{2} = \frac{3 	imes 2}{2} = 3$.The possible transitions are from $n = 3 	o n = 2$,$n = 3 	o n = 1$,and $n = 2 	o n = 1$. Thus,there are $3$ spectral lines.

$A$ hydrogen atom is excited from the ground state to the energy level $n = 3$. According to Bohr's model,the number of spectral lines emitted is:

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