Calculate the wavelengths of the first five members of the Lyman series of spectral lines, providing the result in units Angstrom with precision one digit after the decimal point.

Explanation:

The formula for hydrogen atomic  spectrum is as follows

energy of photon due to transition from higher orbit n₂ to n₁

For layman series n₁ = 1 and n₂ = 2 , 3 , 4 ,   ...   etc

energy of first line

10.2 eV

wavelength of photon = 12375 / 10.2 = 1213.2 A

energy of 2 nd line

= 12.08 eV

wavelength of photon = 12375 / 12.08 = 1024.4 A

energy of third line

12.75 e V

wavelength of photon = 12375 / 12.75 = 970.6 A

energy of fourth line

= 13.056 eV

wavelength of photon = 12375 / 13.05 = 948.3 A

energy of fifth line

13.22 eV

wavelength of photon = 12375 / 13.22 = 936.1 A