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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.
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Solution
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 2ndPostulate
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