A small particle of mass m moves in such a way that 1 -m "o°r° where w is a constant 2 2 2 the potential energy U = – m and r is the distance of the particle from the origin. Assuming Bohr's model of quantization of angular momentum and circular orbits, show that radius of the nth allowed orbit is proportional to Vn.

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Chapter10: Atomic Physics
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A small particle of mass m moves in such a way that
1
m 'or where w is a constant
2
2
the potential energy U = ;
and r is the distance of the particle from the origin.
Assuming Bohr's model of quantization of angular
momentum and circular orbits, show that radius of the
nth allowed orbit is proportional to Vn.
Transcribed Image Text:A small particle of mass m moves in such a way that 1 m 'or where w is a constant 2 2 the potential energy U = ; and r is the distance of the particle from the origin. Assuming Bohr's model of quantization of angular momentum and circular orbits, show that radius of the nth allowed orbit is proportional to Vn.
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