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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

3R

B

2.25 R

C

9R

D

R/3

Answer

2.25 R

Explanation

Solution

r = 0.529 n2Z\frac{n^{2}}{Z}

R = 0.529×4Z\frac{0.529 \times 4}{Z}

R' = ? = 0.529×9Z\frac{0.529 \times 9}{Z}

R′R=94\frac{R'}{R} = \frac{9}{4}