Question

Using de Broglie’s hypothesis, explain with the help of a suitable diagram, Bohr’s second postulate of quantization of energy levels in a hydrogen atom.

Answer 1

De Broglie’s Explanation of Bohr’s Second Postulate of Quantisation

• De-Broglie’s hypothesis that electron has a wavelength λ = h/mv gave an explanation for Bohr’s quantised orbits by bringing in the wave particle duality.

• Orbits correspond to circular standing waves in which the circumference of the orbits equal whole number of wavelength.

According to de Broglie’s hypothesis

`lambda = h/p`also for Bohr’s model

It states,

`nlambda = 2pir`

`=> n h/p = 2pir`

`=> rp =n h/(2pi) `            (as rp =L)

`=> L=n h/(2pi)`               Bohr's 2^ndPostulate