Estimate the difference in energy between first and second Bohr orbit for a hydrogen atom. At what minimum atomic number, a transition from n=2 to n=1 energy level would result in the emission of X-rays with `lamda=3.0 xx 10^(-8) m` ? Which hydrogen-atom like species does this atomic number correspond to?

Explanation

To solve the problem step by step, we will address both parts of the question: estimating the energy difference between the first and second Bohr orbits for a hydrogen atom, and determining the minimum atomic number for a transition from n=2 to n=1 that results in the emission of X-rays with a given wavelength.

### Part 1: Energy Difference Between First and Second Bohr Orbits

1. **Identify the formula for energy levels in the Bohr model**:
The energy of an electron in the nth orbit of a hydrogen atom is given by the formula:
\[
E_n = -\frac{13.6 \, \text{eV} \cdot Z^2}{n^2}
...