Question

The force acting on the electrons in hydrogen atom (Bohr’s theory) is related to the principle quantum number \( n \) as

• A. \( n^{-2} \)
• B. \( n^4 \)
• C. \( n^{-4} \)
• D. \( n^2 \)

Hint:

In Bohr’s model, the force between the nucleus and the electron decreases with the square of the quantum number \( n \).

Answer 1

The Correct Option is A

Step 1: Force on an electron in Bohr’s model.
According to Bohr's theory, the force acting on an electron in orbit is the Coulomb force, which is proportional to \( \frac{1}{n^2} \), where \( n \) is the principal quantum number.
Step 2: Conclusion.
Thus, the correct answer is (A) \( n^{-2} \).