The electron in a hydrogen atom in a sample is in the $n^{th}$ excited state. The number of different spectral lines obtained in its emission spectrum will be:

  • A
    $1 + 2 + 3 + \dots + (n - 1)$
  • B
    $1 + 2 + 3 + \dots + n$
  • C
    $1 + 2 + 3 + \dots + (n + 1)$
  • D
    $1 \times 2 \times 3 \times \dots \times (n - 1)$

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