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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 first Bohr orbit of the orbital atom, then that of the new atom will be

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$150 a_{0}$

$\sqrt{150} a_{0}$

$\frac{a_{0}}{\sqrt{150}}$

$\frac{a_{0}}{150}$

answer is D.

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Detailed Solution

$r \propto \frac{n^{2}}{m (Z)} \Rightarrow \frac{r}{r_{1}} = (\frac{m^{1}}{m}) \Rightarrow r^{1} = \frac{a}{150}$

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