Join the Most Relevant JEE Main 2025 Test Series & get 99+ percentile! Join Now
Search any question & find its solution
Question: Answered & Verified by Expert
In a hypothetical Bohr hydrogen atom, if the mass of the electron is doubled then the energy of the electron in the first orbit is
PhysicsAtomic PhysicsTS EAMCETTS EAMCET 2023 (14 May Shift 1)
Options:
  • A $-27.2 \mathrm{eV}$
  • B $-13.6 \mathrm{eV}$
  • C $-6.8 \mathrm{eV}$
  • D $-3.4 \mathrm{eV}$
Solution:
2274 Upvotes Verified Answer
The correct answer is: $-27.2 \mathrm{eV}$
Mass of the electron, $\mathrm{m}=2 \mathrm{~m}$
Energy of electron, $E \propto \frac{\mathrm{m}}{\mathrm{n}^2}$ For first orbit, $\mathrm{n}=1$
$\begin{aligned}
& E=\frac{2 \times(-13.6)}{1} \\
& =-27.2 \mathrm{ev}
\end{aligned}$

Looking for more such questions to practice?

Download the MARKS App - The ultimate prep app for IIT JEE & NEET with chapter-wise PYQs, revision notes, formula sheets, custom tests & much more.