Which of the following is (are) correct for a H like species ?

Options

A. The energy gap between the consecative energy orbit decreases in the value of "n" increases
B. The longest wavelength in any spectral series corresponding to `alpha ` like in that series
C. Each spectral series is bounded by minimum and maximum wavelength and the rangy follow a contiaous distribution as given by bohr's theory
D. Kinetic energy of the electron decreases whereas the potential energy increases as the value of "n" increases

Explanation

To solve the question regarding which statements are correct for hydrogen-like species, we will analyze each statement step by step.

### Step 1: Analyze the first statement
**Statement A:** "The energy gap between consecutive energy levels decreases as the value of n increases."

- The energy levels of a hydrogen-like atom are given by the formula:
\[
E_n = -\frac{Z^2 \cdot 13.6 \text{ eV}}{n^2}
...