Question

# When an electron is excited to $$n ^ { \text { th } }$$ energy state in hydrogen, the possible number of spectral lines emitted are

A
n
B
2n
C
n2n2
D
n2+n2

Solution

## The correct option is C $$\dfrac { n ^ { 2 } - n } { 2 }$$The number of energy states below with level =$$n-1$$Total number of spectral  lines= sum of the volume of each energy state.Hence, Total spectral lines=$$1+2+3+............n-1$$$$= \frac{{\left( {n - 1} \right)n}}{2} = \frac{{{n^2} - n}}{2}$$Physics

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