If the electron in a hydrogen atom transits from the second orbit to the first orbit,in what region would the emitted radiation be?

If ${\lambda _{\max }}$ is $6563\,\mathring{A}$ for the Balmer series of a particular atom,then the wavelength of the second line for the Balmer series will be:

Which series of the hydrogen spectrum was observed first?

The Lyman series of the hydrogen spectrum lies in which region?

The ratio of the longest wavelengths corresponding to the Lyman and Balmer series in the hydrogen spectrum is:

The first three spectral lines of the $H$-atom in the Balmer series are given as $\lambda_{1}, \lambda_{2}, \lambda_{3}$. Considering the Bohr atomic model,the wavelengths of the first and third spectral lines $\left(\frac{\lambda_{1}}{\lambda_{3}}\right)$ are related by a factor of approximately '$x$' $\times 10^{-1}$. The value of $x$,to the nearest integer,is: