Question

The wavelengths in the hydrogen spectrum with m = 1 form a series of spectral lines called the Lyman series. Part A Calculate the wavelength of the first member of the Lyman series. Express your answer to three significant figures and include the appropriate units. λ1λ 1 = nothing nothing Request Answer Part B Calculate the wavelength of the second member of the Lyman series. Express your answer to three significant figures and include the appropriate units. λ2λ 2 = nothing nothing Request Answer Part C Calculate the wavelength of the third member of the Lyman series. Express your answer to three significant figures and include the appropriate units. λ3λ 3 = nothing nothing Request Answer Part D Calculate the wavelength of the fourth member of the Lyman series. Express your answer to three significant figures and include the appropriate units.

Answer 1

For hydrogen atom, 1/=R_h (1/n_f²- 1/n_i²) where is the wavelength of light emitted, R_h is rydberg constant with value 109737cm^-1 , n_f is the final principal quantum number( which is equal to 1 in this case) , n_i is initial quantum number

part a) for 1st member n_i =2

So,1/=109737(1-1/4)=82302.75 cm^-1

=> =0.0000121502 cm= 122 nm

part b) for 2nd member n_i=3

So,1/=109737(1-1/9)=97544 cm^-1

=> =0.0000102517 cm= 103 nm

part c) for 3rd member n_i=4

So,1/=109737(1-1/16)=102878.4375 cm^-1

=> =0.0000097202 cm=97 nm

part d) for 4th member n_i=5

So,1/=109737(1-1/25)=105347.52 cm^-1

=> =0.0000094923 cm= 95 nm