Question

As the electron in Bohr’s orbit of hydrogen atom passes from state \( n = 2 \) to \( n = 1 \), the KE (K) and the potential energy (U) changes as

• A. \( K \) fourfold, \( U \) also fourfold
• B. \( K \) twofold, \( U \) also twofold
• C. \( K \) fourfold, \( U \) twofold
• D. \( K \) twofold, \( U \) fourfold

Hint:

In Bohr’s model, both kinetic and potential energies are related to the inverse square of the radius, and they change accordingly when the electron moves between levels.

Answer 1

The Correct Option is A

Step 1: Understanding Bohr’s model.
In Bohr’s model of the hydrogen atom, the potential energy and kinetic energy follow specific relations when transitioning between energy levels. The kinetic energy changes fourfold, and the potential energy changes similarly.

Step 2: Conclusion.
The correct answer is that both kinetic energy and potential energy change fourfold, which corresponds to option (1).