Question

Considering Bohr’s atomic model for hydrogen atom :

• A. (B), (C) only
• B. (A), (B) only
• C. (A), (D) only
• D. (A), (C) only

Hint:

In Bohr's atomic model, the energy levels depend on the atomic number \( Z \) and the principal quantum number \( n \). For ions like He\(^+\) and Li\(^2+\), the energy will differ due to their increased nuclear charge.

Answer 1

The Correct Option is B

The energy of an electron in a specific orbit is given by: \[ E \propto \frac{Z}{n^2} \] For hydrogen atom, \( Z_H = 1 \), for He\(^+\), \( Z_{He^+} = 2 \), and for Li\(^2+\), \( Z_{Li^{2+}} = 3 \). 
1st excited state \( n = 2 \) and 2nd excited state \( n = 3 \). 
From the given statements, only (A) and (B) are correct.