Question

A electron transmission occurs from n=4 and n=2 energy level in hydrogen atom. find the wavelength of the emitted radiation of the energy of the electron in the ground state is -13.6ev to which series does the spectral line belong to

Answer 1

A electron transmission from n=4 and n=2 energy level in hydrogen atom takes place than the wavelength of the emitted radiation of energy of the electron is =  16/15 R And  for n=2 it is 4/3 R  .the spectral line belongs to  Lyman series .

Explanation:  

Bohrs proposed a model for hydrogen atom which is also applicable for some lighter atoms in which a single electron revolve around a stationary nucleus of positive charge Ze (called hydrogen atom).

According to Bohrs theory the wavelength of the radiations emitted from hydrogen atom is given by    

1/λ = R[ 1/n₁² --  1/n₂² ]  

a electron transmission  n =4

λ = 16/15 R

A electron transmission n=2

λ = 4/3 R

Te transmission from n= 2,4 ,5......... to ground state  all lies in Lyman series .

Value of R (  Ryderberg constant ) =1.097× 10⁷.