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Which of the following statements regarding Bohr theory of hydrogen atom is not correct?

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Kinetic energy of an electron in an orbit is equal to the magnitude of its potential energy.

Total energy of an electron is negative of its kinetic energy.

Total energy of an electron is negative of its kinetic energy. $- m v^{2}$

Kinetic energy of an electron in an orbit is half of magnitude of its potential energy.

answer is B.

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Detailed Solution

According to, angular momentum $\frac{nh}{2 π}$

for angular momentum $h = 2 \Rightarrow \frac{h}{π} >$ towards the direction of $n = 1 \Rightarrow \frac{h}{2 π}$

$K.E. = \frac{m e^{4}}{8 n^{2} ϵ_{0}^{2} h^{2}}$

$K.E. \propto \frac{1}{n^{2}}$

The electron's kinetic energy in the n=2 orbit is lower than in the n=1 orbit.

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