When an electric discharge is passed through hydrogen gas, the hydrogen m olecu les dissociate to produce excited hydrogen atoms. These excited atom s em it electrom agnetic radiation of discrete frequencies which can be given by the general formula What points of Bohr’s model of an atom can be used to arrive at this formula ? Based on these p o in ts derive the above form ula giving description of each step and each term.

Explanation

The two im portant points of Bohr.s m odel that can be used to derive the given formula are as follows (i) Electrons revolve around the nucleus in a circular p ath of fixed radius an d energy. T hese p ath s are called orbits, stationary states or allowed energy states. (ii) E nergy is e m itte d or a b so rb ed w h e n an electron m oves from higher stationary state to lower stationary state or from lower stationary state to higher stationary state respectively. The energy gap between the two orbites is given by the equation `triangleE=E_(f)-E_(i)`
where `n_(i)` and `n_(f)` stand for initial orbit and final orbit
frequency v associated with the abosrption and emission of the photon can be calculated as follows
`v=3.29xx10^(15)((1)/(n_(i)^(2))-(1)/(n_(f)^(2))Hz)`
`barv =(v )/(c )=(329 xx10^(15))/(3xx10^(8) ms^(-1))(1)/(n_(i)^(2))-(1)/(n_(f)^(2))`
`barv =109677 (1)/(n_(i)^(2))-(1)/(n_(f)^(2))cm^(-1)`