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Q.

For a hydrogen atom match the physical quantity in Column I with the dependence of it to principal quantum number in Column II and mark the correct option from the codes gives below.

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a

P               Q                 R                S       4                 2                 1                 3

b

P               Q                R                S       3               4                 2                 1

c

P                Q                R                S       1                 2                 3                 4

d

P                Q                R                S       4                 1                 2                 2

answer is D.

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Detailed Solution

Magnetic moment,Mn=inA=efnA=emZ2e44ε02n3h3⋅πrn2=mZ2e54ε02n3h3π⋅n2h2ε0πmZe22⇒Mn∝n1 Also, Bn=πm2Z3e7μ08ε03n5h5⇒Bn∝1n5 And ωn=nrn=πmZ2e42ε02n3h3⇒ωn∝1n3 And in=e.fn=mZ2e44ε02n3h3⇒in∝1n3 Hence, (P)→(4),(Q)→(1),(R)→(2),(S)→(2)
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