A triply ionized beryllium atom is in the ground state It ab

A triply ionized beryllium atom is in the ground state. It absorbs energy and makes a transition to the n = 3 excited state. The ion returns to the ground state by emitting three possible photons. What is the wavelength of the highest energy photon? __________m

Solution

wavelength ==>

1/lambda=R*Z^2[(1/n^2)-(1/m^2)]

now

m=3,n=1 and Z=4

and Rydbergconstant R=1.0973*10^7 /m

1/lambda=R*4^2[1-1/9]

=====>

lambad =(9/R*128)

=(9/1.0973*10^7*128)

=6.4078*10^-9 m

=6.4078 nm