As an electron makes a transition from an excited state to the ground state of a hydrogen like atom/ion
(a) kinetic energy, potential energy and total energy decrease
(b) kinetic energy decreases, potential energy increases but total energy remains same
(c ) kinetic energy and total energy decrease but potential energy increases
(d) its kinetic energy increases but potential energy and total energy decrease

Explanation

To solve the problem of the transition of an electron from an excited state to the ground state in a hydrogen-like atom, we need to analyze the changes in kinetic energy, potential energy, and total energy during this transition.

### Step-by-Step Solution:

1. **Understanding Energy Levels**:
- In a hydrogen-like atom, the energy levels are quantized and are defined by the principal quantum number \( n \). The ground state corresponds to \( n = 1 \), and excited states correspond to \( n > 1 \).

2. **Energy Formulas**:
- The total energy \( E \) of an electron in a hydrogen-like atom is given by:
\[ E = -\frac{13.6 \, \text{eV}}{n^2} \]
- The potential energy \( U \) is given by:
\[ U = -\frac{e^2}{4 \pi \epsilon_0 r} \]
- The kinetic energy \( K \) is related to the potential energy and can be expressed as:
\[ K = -\frac{1}{2} U \]

3. **Transition from Excited State to Ground State**:
- When an electron transitions from a higher energy level (excited state) to a lower energy level (ground state), the value of \( n \) decreases.
- As \( n \) decreases, the total energy \( E \) becomes more negative (i.e., it decreases in magnitude).

4. **Analyzing Changes in Energy**:
- **Total Energy**: Since \( E \) is inversely proportional to \( n^2 \), as \( n \) decreases, \( E \) decreases (becomes more negative).
- **Potential Energy**: Similarly, potential energy \( U \) also decreases as \( n \) decreases (becomes more negative).
- **Kinetic Energy**: Kinetic energy \( K \) is related to the potential energy. As the electron moves closer to the nucleus (from higher \( n \) to lower \( n \)), the kinetic energy increases because the electron is moving faster in lower energy states.

5. **Conclusion**:
- During the transition from an excited state to the ground state:
- Kinetic energy **increases**.
- Potential energy **decreases**.
- Total energy **decreases**.

Thus, the correct answer is **(d)**: its kinetic energy increases but potential energy and total energy decrease.