What is the energy in joules required to shift the elertcon of the hydrogen atom from the first Bohr orbit to the fifth Bohr orbit ? And what is the wavelenght of the light emitted when the electron returns to the ground state ? The ground state electron energy is ` -2 18 xx 10 ^(-11)` erg.

Explanation

`E_1 = -2 . 18 xx 10 ^(-11) erg`
` E_5 = ( -2 . 18 xx 10^(11)) /( 25)` erg
` therefore Delta E = E_5 -E_1 = ( -2 . 18 xx 10^(11) )/ (25) + 2. 18 xx 10^(11)`
` = 2. 09 xx1 0 ^(-11) erg`
Thus , energy released during transiton will also be ` 2. 09 xx 10 ^(-11)` erg ltbgt Also ` Delta E = ( hc)/ (lambda)`
`therefore lambda = ( 6.625 xx 10^(-27) xx 3.0 xx 10^(10))/(2.09 xx 10^(-11))`
` = 9. 51 xx 10 ^(-6) cm = 951 Å `.