Question

In the given figure, the energy levels of hydrogen atom have been shown along with some transitions marked as $A,B,C,D$ and $E$.
The transitions $A,B$ and $C$ respectively represents :

• A. The series limit of Lyman series, third member of Balmer series and second member of Paschen series.
• B. The first member of the Lyman series, third member of Balmer series and second member of Paschen series.
• C. The ionization potential of hydrogen, second member of Balmer series and third member of Paschen series.
• D. The series limit of Lyman series, second member of Balmer series and second member of Paschen series.

Answer 1

The correct option is A The series limit of Lyman series, third member of Balmer series and second member of Paschen series.

We know that for,
$\left(1\right).$ Lyman Series - $n_1=1,n_2=2,3,4,.....$

$\left(2\right).$ Balmer Series - $n_1=2,n_2=3,4,5,.....$

$\left(3\right).$ Paschen Series - $n_1=3,n_2=4,5,6,.....$

Here, for transition $A$, $n_1=1,n_2=\infty$
$\Rightarrow$ Series limit of Lyman series.

For transition $B$, $n_1=2,n_2=5$
$\Rightarrow$ Third member of Balmer series.

For transition $C$, $n_1=3,n_2=5$
$\Rightarrow$ Second member of Paschen series.

Hence, option $\left(A\right)$ is correct.