(d) $\mathrm{\Delta}E = 13.6\ Z^{2}\left( \frac{1}{n_{1}^{2}} - \frac{1}{n_{2}^{2}} \right)$ $= 13.6 \times (1)^{2}\left( \frac{1}{1} - \frac{1}{2^{2}} \right)$ $= 13.6\left( 1 - \frac{1}{4} \right)$ $= 13.6 \times \frac{3}{4} = 10.2eV$
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.