Introduction:
The Bohr model describes the energy levels of electrons in an atom. The energy of an electron in the first Bohr orbit of a hydrogen atom is -13.6 eV. In this model, electrons occupy specific energy levels or orbits around the nucleus.

Explanation:

1. Bohr Model:
The Bohr model of the hydrogen atom states that electrons can only occupy specific energy levels, or orbits, around the nucleus. Each energy level is associated with a specific amount of energy.

2. Energy of an Electron in the First Bohr Orbit:
According to the Bohr model, the energy of an electron in the first Bohr orbit of a hydrogen atom is -13.6 eV. This negative sign indicates that the electron is bound to the nucleus and has a lower energy than when it is free.

3. Excited State:
When an electron absorbs energy, it can move to a higher energy level or orbit. This is called an excited state. The energy absorbed by the electron corresponds to the difference in energy between the initial and final energy levels.

4. Energy Difference:
The energy difference between different energy levels in the Bohr model can be calculated using the formula:
ΔE = Ef - Ei

Where ΔE is the energy difference, Ef is the final energy level, and Ei is the initial energy level.

5. Calculation of Excited State Energy:
To find the possible energy value of the excited state for an electron in a Bohr orbit of hydrogen, we need to determine the energy difference between the excited state and the first Bohr orbit.

Let's assume the energy of the electron in the excited state is Ee. Using the energy difference formula, we can write:
ΔE = Ee - (-13.6 eV)

Since the electron is moving to a higher energy level, the energy difference will be positive. Let's assume ΔE = X eV.

X = Ee - (-13.6 eV)
X = Ee + 13.6 eV

Therefore, the possible energy value of the excited state for the electron in a Bohr orbit of hydrogen is X eV, where X = Ee + 13.6 eV.

Conclusion:
In the Bohr model, the energy of an electron in the first Bohr orbit of a hydrogen atom is -13.6 eV. The possible energy value of the excited state for the electron in a Bohr orbit can be calculated by finding the energy difference between the excited state and the initial state.

-3.4eV i think...