According to the bohr model of a hydrogen atom, the frequency of light radiated by an electron moving from an orbit n1 to an orbit n2 corresponds to the energy level difference between n1 and n2ofe=e0(1n21−1n22),wheree0=−mez2e4 32π2ϵ20ℏ2,and where me is the electron mass, z is the atomic number, e is the magnitude of the electron charge, ϵ0 is the permittivity of free space, and ℏis planck's constnt divided by 2π. in the case of hydrogen (z=1) e0=−13.6ev. a.)find the frequency of light f radiated by an electron moving from orbit n1=2 to n2=1inside of a he+ ion.
b.)in the bohr model of hydrogen, the radius of the nth orbit is defined asrn=a0n2z, wherea0=4πϵℏ2mee2=5.29×10−11mis called the bohr radius. find the radius r1 of a valence orbital for a he+ ion.