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Question: Two electrons in an atom are moving in orbits of radii R and 9R respectively. The ratio of their fre...

Two electrons in an atom are moving in orbits of radii R and 9R respectively. The ratio of their frequencies will be –

A

1 : 8

B

8 : 1

C

1 : 27

D

27 : 1

Answer

27 : 1

Explanation

Solution

R 9R

n1 = 1 n2 = 3

f1f2\frac{f_{1}}{f_{2}} = n23n13\frac{n_{2}^{3}}{n_{1}^{3}} = 3313=271\frac{3^{3}}{1^{3}} = \frac{27}{1}