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Question

Physics Question on Atoms

The radius of innermost orbit of a hydrogen atom is 5.3x10-11 m. What is the radius of the third allowed orbit of the hydrogen atom?

A

1.06Å

B

1.59Å

C

4.77Å

D

0.53Å

Answer

4.77Å

Explanation

Solution

The correct option is (C): 4.77Å

For n=3, we can write the corresponding electron radius as,

r_3=n^2r_1$$=9\times 5.3\times 10^{-11}= 4.77\times10^{-10}=4.77Å