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An electron revolves around a proton in ...

An electron revolves around a proton in a hydrogen atom in an orbit of radius r. Considering the wave nature of electron and assuming that electron is present in the form of a stationary wave. Show that the angular momentum of the electron is quantized.

Text Solution

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For a stationary wave shown,
`2pir=nlambda`
Also `lambda=h/"mv"` [de Broglie wavelength ]
`rArr 2pir="nh"/"mv"`
`rArr mvr = "nh"/(2pi)`
`rArr` Angular momentum is quantized.
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