Question

In a hypothetical system, a particle of mass ${}^{\prime }m{}^{\prime }$ and charge ${}^{\prime }-3q{}^{\prime }$ is moving around a very heavy particle charge $q$. Assume that Bohr's model is applicable to this system, then velocity of mass ${}^{\prime }m{}^{\prime }$ in the first orbit is

• A. $\frac{3q^2}{2{ϵ}_{0}h}$
• B. $\frac{3q^2}{4{ϵ}_{0}h}$
• C. $\frac{3q}{2\pi {ϵ}_{0}h}$
• D. $\frac{3q}{4\pi {ϵ}_{0}h}$

Answer 1

The correct option is A $\frac{3q^2}{2{ϵ}_{0}h}$

According to the derivation of the above equation:
The changes are, charge of electron being $-3q$ and proton is $q$.
Here, $Z=n=1$
Hence, $v=\frac{3q^2}{2h{\epsilon }_0}$