Bohr's model Assignment Help

Assignment Help: >> Photo-electric effect, x-rays, electron and photon >> Bohr's model

Bohr given a model for hydrogen molecule which is also applicable for some lighter atoms in which a single electron revolves around a stationary nucleus of positive charge Ze (called hydrogen like atom)

Bohr's model is based on the following postulates.

(i) The electron can revolve only in certain discrete non-radiating orbits, named stationary orbits, for which total angular momentum of the revolving electrons is an integral multiple of h/2π

i.e. L = h(h/2π) = mvr  where n = 1, 2, 3, ........= Principal quantum number

(ii) The radiation of energy happens only when an electron jumps from one permitted orbit to another.

653_Bohrs model6.png

When electron jumps from higher energy orbit (E1) to lower energy orbit (E2) then difference of energies of these orbits i.e. E1 - E2 emits in the form of photon. But if electron goes from E2 to E1 it absorbs the same amount of energy.

Radius of orbit : For an electron around a stationary nucleus the electrostatics force of attraction provides the necessary centripetal force

i.e.      2171_Bohrs model.png       ... (i)

also   2375_Bohrs model1.png                       ... (ii)

From equation (i) and (ii) radius of nth orbit

2101_Bohrs model2.png

2400_Bohrs model3.png

254_Bohrs model4.png

Some other quantities

For the revolution of electron in nth orbit, some other quantities are given in the following table

2058_Bohrs model5.png

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