Statement: Doubly ionized lithium atom, which of the following statement is true?

Options:
1. 2s and 2p have the same energy.
2. 1s and 2s have the same energy.
3. It does not have a 2p orbital.
4. The energy of all the orbitals is the same.

Explanation:

1. 2s and 2p have the same energy:
In a doubly ionized lithium atom (Li2+), it has lost two electrons and its electronic configuration becomes 1s^2. The 1s orbital is completely filled with two electrons. The 2s and 2p orbitals are empty.

The energy of the 2s orbital is lower than the energy of the 2p orbital. Therefore, in a doubly ionized lithium atom, the 2s and 2p orbitals do not have the same energy.

2. 1s and 2s have the same energy:
In a doubly ionized lithium atom, the 1s orbital is completely filled with two electrons, while the 2s orbital is empty. The energy of the 1s orbital is lower than the energy of the 2s orbital. Therefore, the 1s and 2s orbitals do not have the same energy.

3. It does not have a 2p orbital:
In a doubly ionized lithium atom, the electron configuration is 1s^2, which means it has two electrons in the 1s orbital. Since it has lost two electrons, it does not have any electrons in the 2s or 2p orbitals. Therefore, it does not have a 2p orbital.

4. The energy of all the orbitals is the same:
The energy of the orbitals in an atom depends on their principal quantum number (n) and the azimuthal quantum number (l). In a doubly ionized lithium atom, the only occupied orbital is the 1s orbital, which has the lowest energy. The 2s and 2p orbitals are empty. Since the 1s orbital has a lower energy than the higher orbitals, the energy of all the orbitals is not the same.

Conclusion:
Based on the above explanations, it can be concluded that none of the given statements are true for a doubly ionized lithium atom.