The number of spectral lines that are possible when electrons in 8th shell in different hydrogen atoms return to the 2nd shell is

Question

Question

Answer 1

Concept:

The formula for calculating the number of possible spectral lines if an electron is in an excited state n is given by

\(N = \frac{{n\left( {n - 1} \right)}}{2}\)

If the transitions from between n₂to n₁, then

\(N = \frac{{\left( {{n_2} - {n_1}} \right)\left( {{n_2} - {n_1} + 1} \right)}}{2}\)

Calculation:

Given n₂ = 8 and n₁ = 2,

Now the possible number of spectral lines is

\(N = \frac{{\left( {{8} - {2}} \right)\left( {{8} - {2} + 1} \right)}}{2}\)

⇒ N = 21