Q156 / 160 · TS EAMCET 2018 (07 May Shift 1) · Physics

In a hydrogen sample, if the atoms are excited to states with principal quantum number 20 , then the number of different wavelengths which may be observed in the spectrum is

  • A
    100
  • B
    140
  • Correct answer
    C
    190
  • D
    230

Solution

When atom are excited from ground state to excited state with $n=20$, then number of spectral line possible are $=\frac{n(n-1)}{2}$ [where, $n=$ principal quantum number] $=\frac{20(20-1)}{2}=190$

Hence, the correct answer is option: 'C'.

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