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PhysicsModern PhysicsAtomic structureEasy2 minPYQ_2020
PhysicsEasysingle choice

The electric potential between a proton and an electron is given by V = V 0  ln r r 0 wherer0is a constant. Assuming Bohr's model to be applicable, write a variation ofrnwithn,nbeing the principal quantum number.

Options:

Answer:
A
Solution:

U=eV=eV0 lnrr0

F=-dUdr=eV0r

This force provides the necessary centripetal force.

Hence

mv2r=eV0r

orv=eV0m...(1)

Moreover,

mvr=nh2π...(2)

Dividing Eq. (2) by Eq. (1), we have

mr=nh2πmeV0or r n ∝ n

Stream:NTA_ABHYAS_NEETSubject:PhysicsTopic:Modern PhysicsSubtopic:Atomic structure
⏱ 2mℹ️ Source: PYQ_2020

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