Question

In a hypothetical Bohr hydrogen atom, the mass of the electron is doubled. The energy $E_0^{\prime}$ and radius $r_0^{\prime}$ of the first orbit will be ( $r _0$ is the Bohr radius)

• A. $-11.2 \,eV$
• B. $-6.8\, eV$
• C. $-13.6\, eV$
• D. $-27.2 \,eV$

Answer 1

Answer: (D)

As $r \propto \frac{1}{ m } $
$ \therefore r _0^{\prime}=\frac{1}{2} r _0$
As $E \propto m $
$ \therefore E _0^{\prime}=2(-13.6)=-27.2\, eV$