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Q.

The electron of a hydrogen atom revolves round the proton in a circular nth orbit of radius 

rn=ε0n2h2/πme2 W.I t h a speed,  vn=e22ε0nh

The current due to the circulating charge is proportional to [AMU 2012]

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a

e5

b

e2

c

e3

d

e6

answer is C.

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Detailed Solution

Time period of electron,

T=2πrv=2π×ε0n2h2πme2e22ε0nh

T=4ε02n3h3me4

Current,  i=eT=e4ε02n3h3me4

⇒  i=me54ε02n3h3

 i.e.   i∝e5

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