The concept required to solve the given problem is Bernoulli’s equation.
Initially, draw a figure from the given data. Then, use Bernoulli’s equation to find the pressure equation at water-mercury interface. Finally, solve this equation for height raised by mercury at right arm.
The Bernoulli’s equation for incompressible fluids is given by following expression.
Here, is the atmospheric pressure at the surface of fluid 1, is the atmospheric pressure at the surface of fluid 2, is the density of fluid 1, is the density of fluid 2, g is the acceleration due to gravity, is the height of fluid 1 and is the height of fluid 2.
Draw the following figure from given data.
Here, h is the height of the mercury raised in right arm, and is the height of the water.
The Bernoulli’s equation at water-mercury that at points A and B is given by following expression.
Here, is the atmospheric pressure, is the density of water, is the density of mercury, g is the acceleration due to gravity, is the height of water column, and height of mercury column.
The atmospheric pressures at point A and B is equal because both the points as same level.
Substitute and 2h for in the above equation to solve for h.
Substitute for for , and 11.3 cm for in the above equation.
Ans:
The height raised by mercury at right arm is 4.15 mm.
A U-shaped tube, open to the air on both ends, contains mercury. Water is poured into...
A U-shaped tube, open to the air on both ends, contains mercury. Water is poured into the left arm until the water column is 17.0 cm deep. Part A How far upward from its initial position does the mercury in the right arm rise?
A U-shaped tube, open to the air on both ends, contains mercury. Water is poured into the left arm until the water column is 16.1 cm deep. How far upward from its initial position does the mercury in the right arm rise? Express your answer using three significant figures. Give the answer in mm
A U-shaped tube open to the air at both ends contains some mercury. A quantity of water is carefully poured into the left arm of the U-shaped tube until the vertical height \(h_{W}\) of the water column is \(22.0 \mathrm{~cm}\) as shown in (Figure 1)
Figure (a) below shows a U-shaped tube containing an amount of mercury. The left arm of the tube has cross-sectional area A, of 10.8 cm, and the right arm has a cross-sectional area A, of 4.00 cm. In both arms, the mercury is at the same level, as shown. In figure (b) below. 100 g of water is poured into the right arm of the tube and sits atop the mercury, all of it within the right arm. The mercury...
A U-tube open at both ends is partially filled with water. Oil (p=750kg/m^3) is then poured into the right arm and forms a column L=5.00cm high. (a) Determine the difference h in the heights of the two liquid surfaces. (b) The right arm is then shielded from any air motion while air is blown across the top of the left arm until the surfaces of the two liquids are at the same height. Determine the speed of the air being...
Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A1 of 11.0 cm2, and the right arm has a cross- sectional area A2 of 4.40 cm2. One hundred grams of water are then poured into the right arm as shown in Figure b. Water A Ag Mercury (a) Determine the length of the water column in the right arm of the U- tube. cm (b) Given that the density...
Mercury is poured into a U-tube as shown in Figure (a). The left arm of the tube has cross-sectional area of 10.2 cm2, and the right arm has a cross-sectional area A2 of 4.60 cm2. One hundred grams of water are then poured into the right arm as shown in Figure (b). Determine the length of the water column in the right arm of the U-tube. cm Given that the density of mercury is 13.6 g/cm3, what distance h does...
Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A1 of 9.7 cm2, and the right arm has a cross-sectional area A2 of 5.40 cm2. Three hundred grams of water are then poured into the right arm as shown in Figure b. Water A Ay A2 Mercury (a) Determine the length of the water column in the right arm of the U-tube. uwra ume does 300 grams of water...
A U-tube open at both ends is partially filled with water (see figure) (Pair 1.29 kg/m ) Oil having density 725 kg/m2 is then poured into the right arm and forms a column L = 5.58 cm high. Shield Po Water Oil a) Determine the difference h in heights of the two liquid surfaces. Number Units b)The right arm is then shielded from any air motion while air is blown across the top of the left arm until the surface...
contains mercury Problem 2. (3 pts.). A simple U-shaped tube with identical sides of a diameter 25 mm (millimeters) contains me We have poured 7189 of water into its left arm. (a) If adding 815g of oil into its right arm will bring the surface of the mercury (its interface with another liquid) to the same level on each side of our tube, what is the density of the oil? (6) What is the pressure at each of the points...