To solve this question, we must understand the concept of hydrogen isotopes. Hydrogen has three naturally occurring isotopes, which are:
These isotopes can be labeled as (A), (B), and (C) in any order. The question specifies that:
Based on the isotopes of hydrogen:
Thus, the sum of \(x\), \(y\), and \(z\) is calculated as follows:
x + y + z = 0 + 1 + 2 = 3
The correct answer is 3, which is found by adding the number of neutrons in each isotope of hydrogen.
| 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 |