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)