Understanding U-Shaped Tube Problems

The video tutorial explains how to solve problems involving a U-shaped tube containing oil and water. It covers the concept of equilibrium, where the downward pressure on both sides of the tube must be equal. The tutorial demonstrates how to calculate the height of the oil column given its density and the height of the water column. It also shows how to determine the density of oil using reference levels and how to calculate the height difference between the oil and water surfaces.

What is the primary condition for the system to remain at equilibrium in a U-shaped tube?

• The density of the fluid must be the same on both sides.

• The downward pressure on both sides must be equal.

• The height of the fluid must be the same on both sides.

• The pressure on the left side must be greater than the right side.

How do you calculate the pressure due to the weight of a fluid?

• Density of the fluid divided by the height of the fluid.

• Density of the fluid times the height of the fluid.

• Density of the fluid times gravitational acceleration times the height of the fluid.

• Gravitational acceleration times the height of the fluid.

What is the calculated height of the oil column when the density of oil is 750 kg/m³ and the height of the water column is 80 cm?

• 80 cm

• 106.7 cm

• 100 cm

• 120 cm

In the U-2 manometer problem, what is the height of water above the reference level?

• 15 cm

• 35 cm

• 80 cm

• 50 cm

What is the calculated density of the oil in the U-2 manometer problem?

• 600 kg/m³

• 700 kg/m³

• 750 kg/m³

• 800 kg/m³

In the third problem, what is the density of the oil on the left side?

• 800 kg/m³

• 790 kg/m³

• 750 kg/m³

• 700 kg/m³

What is the height of the oil in the third problem?

• 30 cm

• 25 cm

• 35 cm

• 20 cm

How is the height difference between the oil and water calculated in the third problem?

• By subtracting the height of water from the height of oil.

• By dividing the height of water by the height of oil.

• By multiplying the height of water by the height of oil.

• By adding the height of water to the height of oil.

What is the final height difference between the oil and water surfaces in the third problem?

• 8.3 cm

• 6.3 cm

• 5.3 cm

• 7.3 cm

What concept is primarily used to solve the problems involving U-shaped tubes?

• Density balance

• Pressure balance

• Volume balance

• Temperature balance