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

• A. $150a_0$
• B. $\sqrt{150}{a}_0$
• C. $\frac{a_0}{\sqrt{150}}$
• D. $\frac{a_0}{150}$

Answer 1

The correct option is D $\frac{a_0}{150}$

$r\propto \frac{1}{m}$ ; $\frac{r_2}{r_1}=\frac{m_1}{m_2}$
$r_1=a_0$ ; $m_1=m_e$ ; $m_2=150m_e$
$r_2=\frac{m_e}{150m_e}{a}_0=\frac{a_0}{150}$