Atoms And Nuclei Question 92

Question: In Bohr’s model, if the atomic radius of the first orbit is $ r_{0} $ , then the radius of the fourth orbit is [CBSE PMT 2000]

Options:

A) $ r_{0} $

B) $ 4r_{0} $

C) $ r_{0}/16 $

D) $ 16r_{0} $

Show Answer

Answer:

Correct Answer: D

Solution:

$ r_{n}\propto n^{2}\Rightarrow \frac{r_{4}}{r_{1}}={{( \frac{4}{1} )}^{2}}=\frac{16}{1}\Rightarrow r_{4}=16\ r_{1}\Rightarrow r_{4}=16\ r_{0} $



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