According to Bohr's theory of hydrogen atom, the ratio of the maximum and minimum wavelength of Lyman series…
- $3: 4$
- $4: 3$
- $2: 5$
- $5: 2$
Solution
For Lyman series, $\mathrm{n}_1=1$ $\begin{aligned} \quad \frac{1}{\lambda_{\max }} & =R\left(\frac{1}{1^2}-\frac{1}{2^2}\right)=\frac{3}{4} R \\ \frac{1}{\lambda_{\min }} & =R\left(\frac{1}{1^2}-\frac{1}{\infty^2}\right)=R \\ \therefore \quad & \frac{\lambda_{\max }}{\lambda_{\min }} \end{aligned}=\frac{4}{3}$
Asked in: MHT CET 2024 (09 May Shift 1)