In Bohr model of the hydrogen atom, the lowest orbit corresponds to

Options

A. infinite energy
B. the maximum energy
C. the minimum energy
D. zero energy

Explanation

To solve the question regarding the lowest orbit in the Bohr model of the hydrogen atom, we will follow these steps:

### Step 1: Understand the Bohr Model
The Bohr model describes the hydrogen atom as having electrons in specific orbits around the nucleus. Each orbit corresponds to a specific energy level.

**Hint:** Recall that the Bohr model quantizes the energy levels of electrons in an atom.

### Step 2: Identify the Lowest Orbit
In the context of the Bohr model, the lowest orbit is referred to as the ground state. This is the orbit where the electron has the least energy.

**Hint:** The ground state corresponds to the principal quantum number \( n = 1 \).

### Step 3: Write the Energy Formula
The energy of the electron in the nth orbit of a hydrogen atom is given by the formula:
\[ E_n = -\frac{13.6 \, \text{eV}}{n^2} \]
where \( E_n \) is the energy of the electron in the nth orbit.

**Hint:** The negative sign indicates that the energy is bound, meaning the electron is in a stable state.

### Step 4: Calculate the Energy for the Lowest Orbit
For the lowest orbit (ground state), we set \( n = 1 \):
\[ E_1 = -\frac{13.6 \, \text{eV}}{1^2} = -13.6 \, \text{eV} \]

**Hint:** Remember that a more negative energy value indicates a more stable (lower energy) state.

### Step 5: Analyze the Energy Levels
As \( n \) increases, the energy becomes less negative (increases). Therefore, the lowest energy corresponds to the lowest value of \( n \).

**Hint:** The energy levels approach zero as \( n \) approaches infinity, which means the electron is no longer bound to the nucleus.

### Step 6: Conclusion
The lowest orbit corresponds to the minimum energy state of the hydrogen atom, which is \( -13.6 \, \text{eV} \). Thus, the correct answer to the question is that the lowest orbit corresponds to minimum energy.

**Final Answer:** The lowest orbit corresponds to minimum energy.