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Question

Question: Radius of the first orbit of the electron in a hydrogen atom is 0.53 Å. So, the radius of the third ...

Radius of the first orbit of the electron in a hydrogen atom is 0.53 Å. So, the radius of the third orbit will be.

A

2.12 Å

B

4.77 Å

C

1.06 Å

D

1.59 Å

Answer

4.77 Å

Explanation

Solution

rnn2r3r1=321r3=9r1=9×0.53=4.77A˚r_{n} \propto n^{2} \Rightarrow \frac{r_{3}}{r_{1}} = \frac{3^{2}}{1} \Rightarrow r_{3} = 9r_{1} = 9 \times 0.53 = 4.77Å