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  • The ratio of radii of first three orbits in hydrogen atom is:Option: 1 1 : 4 : 9Option: 2 1

The ratio of radii of first three orbits in hydrogen atom is:

Option: 1

1 : 4 : 9


Option: 2

1 : 2 : 3 


Option: 3

1 : 2 : 4

 


Option: 4

9 : 4 : 1


Answers (1)

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\begin{array}{l}{\text { Atomic number, } Z \text { is equal to } 1} \\ {\text { Hence the radius of } n^{\text {th }} \text { orbit, } r_{n}=0.529 n^{2} \ A^0 .} \\ {\text { For first three orbits, n values are } 1,2 \text { and } 3 \text { . }} \\ {\text { Therefore: }} \\ {\text { The ratio of radii of first three orbits }=r_{1}: r_{2}: r_{3}=n_{1}^{2}: n_{2}^{2}: n_{3}^{2}=1^{2}: 2^{2}: 3^{2}=1: 4: 9}\end{array}

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