The area of an orbit is proportional to the square of its radius.
For hydrogen atoms, the radius of the first excited state is four times the radius of the ground state.
Since the area is proportional to \( r^2 \), the ratio of the areas is:\(\ \left(\frac{4r}{r}\right)^2 = 16:1\)
List I (Spectral Lines of Hydrogen for transitions from) | List II (Wavelength (nm)) | ||
A. | n2 = 3 to n1 = 2 | I. | 410.2 |
B. | n2 = 4 to n1 = 2 | II. | 434.1 |
C. | n2 = 5 to n1 = 2 | III. | 656.3 |
D. | n2 = 6 to n1 = 2 | IV. | 486.1 |