The atmospheric pressure and height of barometer column is `10^(5)P_(e)` and 760 mm respectively on the earth surface. If the barometer is taken to the moon then column height will be-

Options

A. zero
B. 76 mm
C. 126.6 mm
D. 760 mm

Explanation

To solve the problem, we need to understand the relationship between atmospheric pressure and the height of a barometer column. The atmospheric pressure at the Earth's surface is given as \( P = 10^5 P_e \) and the height of the barometer column is 760 mm. We need to determine the height of the barometer column when taken to the Moon.

### Step-by-Step Solution:

1. **Understanding Atmospheric Pressure**:
The atmospheric pressure at the Earth's surface is given by the formula:
\[ P = \rho g h \]
where \( \rho \) is the density of the liquid in the barometer (usually mercury), \( g \) is the acceleration due to gravity, and \( h \) is the height of the liquid column.

2. **Given Values on Earth**:
- Atmospheric pressure \( P = 10^5 P_e \)
- Height of the barometer column \( h = 760 \, \text{mm} \)

3. **Pressure at the Moon**:
On the Moon, there is no significant atmosphere. Therefore, the atmospheric pressure \( P_{atm} \) on the Moon is effectively zero.

4. **Applying the Pressure Formula**:
Since the atmospheric pressure on the Moon is zero, we can substitute this into the pressure formula:
\[ P_{atm} = \rho g h_{moon} = 0 \]
This implies that:
\[ h_{moon} = 0 \]

5. **Conclusion**:
Therefore, the height of the barometer column when taken to the Moon will be:
\[ h_{moon} = 0 \, \text{mm} \]

### Final Answer:
The height of the barometer column on the Moon will be **0 mm**.