An X-ray tube with a copper target is found to emit lines other than those due to copper.The `K_(a) `line copper is known to have a wavelength 1.54505 A and other two `K _(a) `lines observed have wavelengths 0.7092 A and 1.6578 A. Identify the impurities (find the value of Z, atomic number).

Explanation

To find the atomic numbers of the impurities in the X-ray tube with a copper target, we will use Moseley's law, which relates the wavelength of X-rays emitted by an element to its atomic number. The law states:

\[ \frac{1}{\lambda} = R \left( Z - 1 \right)^2 \left( \frac{1}{n^2} - \frac{1}{m^2} \right) \]

Where:
- \( \lambda \) is the wavelength of the emitted X-ray,
...