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PhysicsModern PhysicsAtomic structureMedium2 minPYQ_2021
PhysicsMediumnumerical

A particle of massmmoves in a circular orbit in a central potential fieldU(r)=U0r4.If Bohr's quantization conditions are applied, radii of possible orbitalsrnvary withn1α, whereαis _______ .

Answer:
3.00
Solution:

F=-dUdr=-4U0r3=mv2r

mv2=4U0r4

Vr2

r3n

rn1/3=3

Stream:JEESubject:PhysicsTopic:Modern PhysicsSubtopic:Atomic structure
2mℹ️ Source: PYQ_2021

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