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Q.

Hydrogen  (1H1), Deuterium (1H2) ,singly ionized Helium (2He4)+  and doubly ionized   (3Li6)++  all have one electron around the nucleus. Consider an electron transition from  n=2 to n=1.If the wavelengths of emitted radiation are λ1,λ2,λ3     and λ4  respectively then approximately which one of the following is correct?

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a

4λ1=2λ2=2λ3=λ4

b

λ1=2λ2=2λ3=λ4

c

λ1=λ2=4λ3=9λ4

d

λ1=2λ2=3λ3=4λ4

answer is C.

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Detailed Solution

Wave number  1λ=RZ21n12−1n2                             ⇒λ∝1Z2    By question n=1 and  n1=2Then,  λ1=λ2=4λ3=9λ4
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