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Question

What is the energy emitted when h atom de excites from x level to x-1 level. Show that for large frequency this equals the classic frequency of revolution

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Solution

Dear student
1λ=R1(x-1)2-1x2fc=R1(x-1)2-1x2f=cR1(x-1)2-1x2f=cR(2x-1)x2(x-1)2and R=me482×ch3f=c×me482×ch3(2x-1)x2(x-1)2 (for x>>1 (2x-1)=2x and (x-1)=x )f=c×me482×ch32xx4 =c×me482×ch32x3=me442×h31x3..1Frequency of revolution of electronf=V2πr where r=x2h2πme2and using mvr=xh2πso v=xh2πmrfelectron=xh2πmr2π×x2h2πme2=me442×h3x3...2from eqn 1 and 2 both the frequency is equal.Regards

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