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Question: In Bohr's model of the hydrogen atom the ratio between the period of revolution of an electron in th...

In Bohr's model of the hydrogen atom the ratio between the period of revolution of an electron in the orbit of n = 1 to the period of the revolution of the electron in the orbit n = 2 is –

A

1 : 2

B

2 : 1

C

1 : 4

D

1 : 8

Answer

1 : 8

Explanation

Solution

T1T2=n13n23=1323=18\frac{T_{1}}{T_{2}} = \frac{n_{1}^{3}}{n_{2}^{3}} = \frac{1^{3}}{2^{3}} = \frac{1}{8}.

(T=2πrV)\therefore \left( T = \frac{2\pi r}{V} \right) so, Tn3Z2T \propto \frac{n^{3}}{Z^{2}}