Question Analysis: Assertion (A) and Reason (R) evaluation.

• Step 1 (Governing Law & Definitions): [0.5 Mark]

  According to the Bohr model and the Rydberg formula for the hydrogen spectrum, the wavelength of emitted radiation is given by:

  $$\frac{1}{\lambda} = R \left( \frac{1}{n_f^2} - \frac{1}{n_i^2} \right)$$

  For the Balmer series, the final energy level is fixed at $n_f = 2$. The ground state corresponds to $n = 1$. Since the Balmer series involves transitions to $n_f = 2$, the Assertion (A) is False.

• Step 2 (Logical Deduction): [0.5 Mark]

  Regarding the Reason (R): Bohr's model allows an electron to jump between any two allowed orbits ($n_i$ and $n_f$) provided the energy conservation condition $\Delta E = E_{n_i} - E_{n_f} = h\nu$ is satisfied. It is not restricted to successive orbits (i.e., $\Delta n = 1$). Thus, the Reason (R) is also False.

• Step 3 (Final Concluded Answer): [0 Marks (Integrated)]

  Correct Option: Both Assertion (A) and Reason (R) are false.

💡 EL10 Concept Insight: Think of the energy levels like a ladder; the Balmer series is like landing on the second rung from any higher rung, not necessarily the bottom one. Also, electrons are like super-jumpers—they can skip as many rungs as they want in a single leap, they don't have to land on every single step in between!