Question

(i)State Bohr postulate of hydrogen atom that gives the relationship for the frequency of emitted photon in a transition.
(ii)An electron jumps from fourth to first orbit in an atom. How many maximum number of spectral lines can be emitted by the atom ?To which series these lines correspond?

Answer 1

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Answer 2

Bohr postulate of hydrogen atom that gives relationship for frequency of emitted photon in transition is:--

i)When energy from external source is supplied to electron it may jump to some higher energy level by absorbing the desired amount of energy where it stays for 10^-8 seconds and comes back the energy given is inversely proportional to wavelength of emitted electron.

Let initial energy of electron be E1

Energy of electron after absorbing radiation energy=E2

Difference in energy=E2-E1

So according to postulate we have;-E2-E1=hc/x

Where h is plank constant c is speed of light and x is wavelength

We know c/x= frequency of emitted electron =y

So E2-E1=hy so y=E2-E1/h y is frequency of emitted electron.

ii)Maximum number of spectral lines for electron fro 4th to 1st orbit are 6

We know that number of spectral lines in transition of electron from n2to n1  are =[(n2-n1)(n2-1+1)]/2

When n1=1 then formula modified as n(n-1)/2

Substituting values 4*(4-1)/2=4*3/2=6

As n1=1 so the lines will correspond to Lyman series as for series n1=1 and n2=1,2,3,4 and so on.