Calculate the length of mercury column in a barometer tube which is inclined at an angle of `45^(@)` with horizontal direction if the atmospheric pressure is 75 cm of mercury.

Explanation

To calculate the length of the mercury column in a barometer tube inclined at an angle of 45 degrees with the horizontal, given that the atmospheric pressure is 75 cm of mercury, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Problem**: We know that the atmospheric pressure can support a column of mercury. When the barometer tube is inclined, we need to consider only the vertical component of the mercury column.

2. **Identify the Vertical Component**: When the barometer tube is inclined at an angle of 45 degrees, the vertical height (h) of the mercury column can be expressed in terms of the length of the mercury column (L) as:
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