In a Bohr atom the electron is replaced by a particle of mass 150 times the mass

Question

In a Bohr atom the electron is replaced by a particle of mass 150 times the mass of the electron and the same charge. If

a_{0}

is the radius of the Bohr orbit, then that of the new atom will be

Options:

A . 150a0

B . √150a0

C . a0√150

D . a0150

Answer: Option D
:
D

r \propto \frac{1}{m}

;

\frac{r_{2}}{r_{1}} = \frac{m_{1}}{m_{2}}

r_{1} = a_{0}

;

m_{1} = m_{e}

;

m_{2} = 150 m_{e}

r_{2} = \frac{m_{e}}{150 m_{e}} a_{0} = \frac{a_{0}}{150}

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