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Question

Question: The radius of electron's second stationary orbit in Bohr's atom is R. The radius of the third orbit ...

The radius of electron's second stationary orbit in Bohr's atom is R. The radius of the third orbit will be.

A

3 R

B

2.25 R

C

9 R

D

R3\frac{R}{3}

Answer

2.25 R

Explanation

Solution

rn2r \propto n^{2}r(n=2)r(n=3)=49\frac{r_{(n = 2)}}{r_{(n = 3)}} = \frac{4}{9}r(n=3)=94R=2.25Rr_{(n = 3)} = \frac{9}{4}R = 2.25R