MCQ
$X$ different wavelengths may be observed in the spectrum from a hydrogen sample if the atoms are exited to states with principal quantum number ${n}=6$ ? The value of ${X}$ is ..... .
  • A
    $11$
  • $15$
  • C
    $10$
  • D
    $8$

Answer

Correct option: B.
$15$
b
No. of different wavelengths $=\frac{{n}({n}-1)}{2}$

$=\frac{6 \times(6-1)}{2}=\frac{6 \times 5}{2}=15$

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