The mass of deuteron is 3.34359 X 102' kg, the mass of a proton is 1.672623 X 102' kg, and the mass of an electron is 9.10939 X 1031 kg. (a) Calculate the reduced mass of a deuterium (D) atom and express it in terms of electron mass. (b) Find the wavelength (in nm) of the longest-wavelength Lyman line in the H-atom and the D- atom and find the difference between the two. [Hint: The difference is rather small, so you may have to calculate the wavelengths up to several places after the decimal point.]

The mass of deuteron is 3.34359 X 102' kg, the mass of a proton is 1.672623 X 102' kg, and the mass of an electron is 9.10939 X 1031 kg. (a) Calculate the reduced mass of a deuterium (D) atom and express it in terms of electron mass. (b) Find the wavelength (in nm) of the longest-wavelength Lyman line in the H-atom and the D- atom and find the difference between the two. [Hint: The difference is rather small, so you may have to calculate the wavelengths up to several places after the decimal point.]