3px to 3s transition:
This transition involves an electron moving from the 3px orbital to the 3s orbital in a hydrogen atom. It is a transition between different atomic orbitals within the same energy level.

3dxy to 3dyz transition:
This transition involves an electron moving from the 3dxy orbital to the 3dyz orbital in a hydrogen atom. It is also a transition between different atomic orbitals within the same energy level.

3s to 3dxy transition:
This transition involves an electron moving from the 3s orbital to the 3dxy orbital in a hydrogen atom. It is a transition between different atomic orbitals within different energy levels.

Explanation:
The absorption or emission of energy in a hydrogen atom occurs when an electron transitions between different energy levels. These transitions involve the absorption or release of photons with specific energies corresponding to the energy difference between the initial and final energy levels.

In the case of the 3px to 3s transition, the electron is simply moving within the same energy level (n=3). Since there is no change in energy levels, there is no absorption or emission of energy.

Similarly, in the 3dxy to 3dyz transition, the electron is moving within the same energy level (n=3) and there is no change in energy levels. Therefore, there is no absorption or emission of energy.

In the 3s to 3dxy transition, the electron is moving from a lower energy level (n=3) to a higher energy level (n=3). This transition involves the absorption of energy. However, since the question asks for transitions that do not show absorption or emission of energy, this transition is not the correct answer.

Conclusion:
The correct answer is d) all of the above. Both the 3px to 3s and 3dxy to 3dyz transitions do not show absorption or emission of energy in a hydrogen atom. These transitions involve movements within the same energy level.

All of the above ....4th option