Depression of Mercury Column Calculation

How is the depression of the column of mercury in the tube calculated?

Given data:
- Diameter of the glass tube: 3.6 mm
- Density of mercury: 13,595 kg/m3
- Acceleration due to gravity: 9.8 m/s2
- Surface tension of mercury: 0.465 N/m

Answer:

The depression of the column of mercury in the tube can be calculated using the equation h = (dρg)/(2γ). Substituting the given values, we find that the depression is approximately 0.046 m.

To calculate the depression of the column of mercury in the tube, we can use the formula:
h = (dρg)/(2γ)
Where:
- h is the height of the column of mercury
- ρ is the density of mercury
- g is the acceleration due to gravity
- d is the diameter of the glass tube
- γ is the surface tension of mercury

By substituting the given values into the formula, we get:
Depression, h = (0.0036 m * 13595 kg/m3 * 9.8 m/s2) / (2 * 0.465 N/m)
Depression, h ≈ 0.046 m (rounded to three decimal places)

Therefore, the depression of the column of mercury in the tube is approximately 0.046 meters.