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Question

Question: In Bohr model of hydrogen atom, the ratio of periods of revolution of an electron in n = 2 and n = 1...

In Bohr model of hydrogen atom, the ratio of periods of revolution of an electron in n = 2 and n = 1 orbits is

A

2 : 1

B

4 : 1

C

8 : 1

D

16 : 1

Answer

8 : 1

Explanation

Solution

According to Bohr model time period of electron Tn3T \propto n^{3}

T2T1=n23n13=2313=81\frac{T_{2}}{T_{1}} = \frac{n_{2}^{3}}{n_{1}^{3}} = \frac{2^{3}}{1^{3}} = \frac{8}{1}

T2=8T1T_{2} = 8T_{1}.