drive the formula mvr= nh/2π
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According to Bohr’s model, the electron revolves around the nucleus in circular orbits. According to de Broglie concept, the electron is not only a particle but has a wave character also.
If the wave is completely in phase, the circumference of the orbit must be equal to an integral multiple of wave length (l)
Therefore 2πr = nλ
where ‘ n ’ is an integer and ‘ r ’ is the radius of the orbit
But l = h/mv
∴ 2πr = nh /mv
(or) mvr = n h/2π
which is Bohr’s postulate of angular momentum, where ‘n’ is the principal
quantum number.
If the wave is completely in phase, the circumference of the orbit must be equal to an integral multiple of wave length (l)
Therefore 2πr = nλ
where ‘ n ’ is an integer and ‘ r ’ is the radius of the orbit
But l = h/mv
∴ 2πr = nh /mv
(or) mvr = n h/2π
which is Bohr’s postulate of angular momentum, where ‘n’ is the principal
quantum number.
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