What is the energy in joules requried to shift the electron of the hydrogen atom from the first Bohr orbit to the fifth bohr orbit and what is the wavelength of the light emitted when the electron returns to the ground state ? The ground state electron energy is `2.18 xx 10^(1)` ergs

Explanation

Calculation of transition energy of Bohr.s 1 to 5 orbit.
`10^(7) "earg" =1j`
`2,18 xx 10^(11) "earg" = (?)`
`(2.18xx 10^(11) "earg" xx 11)/( 10^(7) "earg" ) = 2.18 xx 10^(18)`
Ground state energy of hydrogen `E_(1) =2 .18 xx 10^(18) J`
bohr orbit of hydrogen is one so n=1 and `E_(1)`
electron required for transition of electron in `n_(1) ` to `n_(5) ` is `Delta E`
Calculation of emitted wavelength when electron return to ground state :
`lambda = (hc )/( Delta E)` `=94 .983 nm =95 nm`