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Three Immiscible liquid of densities d, 2d and 3d are kept in a jar as shown in figure. then the ratio H/h is?
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Three Immiscible liquid of densities d, 2d and 3d are kept in a jar as...
Given:
Three immiscible liquids are present in a jar with densities d, 2d, and 3d respectively.
To Find:
The ratio of heights (H/h) of the liquids.
Explanation:
Step 1: Identify the Forces Acting on Each Liquid Layer
In order to determine the ratio of heights of the liquids, we need to analyze the forces acting on each liquid layer. The forces acting on a liquid layer are:
- Force due to gravity
- Buoyant force
Step 2: Calculate the Height of Each Liquid Layer
Using the forces acting on each liquid layer, we can calculate the height of each layer. The height of a liquid layer can be calculated using the equation:
h = (P - P0) / ρg
Where,
P is the pressure at the bottom of the layer,
P0 is the pressure at the top of the layer,
ρ is the density of the liquid,
g is the acceleration due to gravity.
Step 3: Calculate the Pressure at the Bottom and Top of Each Liquid Layer
To calculate the pressure at the bottom and top of each liquid layer, we need to consider the pressure due to the weight of the liquid above it. The pressure at any point in a fluid is given by the equation:
P = P0 + ρgh
Where,
P is the pressure at the bottom of the layer,
P0 is the pressure at the top of the layer,
ρ is the density of the liquid,
g is the acceleration due to gravity,
h is the height of the liquid layer.
Step 4: Calculate the Ratio of Heights (H/h)
The ratio of heights can be calculated by dividing the height of the tallest liquid layer by the height of the shortest liquid layer. In this case, the height of the tallest liquid layer is H, and the height of the shortest liquid layer is h.
Step 5: Substitute the Given Values and Solve the Equation
Substitute the given values of the densities (d, 2d, 3d) into the equations and solve for the heights of the liquid layers. Then, substitute the calculated heights into the ratio equation to find the ratio of heights (H/h).
Answer:
The ratio of heights (H/h) of the three immiscible liquids can be calculated by solving the equations using the given values. The calculated ratio will depend on the specific values of d.
Three immiscible liquids are present in a jar with densities d, 2d, and 3d respectively.
To Find:
The ratio of heights (H/h) of the liquids.
Explanation:
Step 1: Identify the Forces Acting on Each Liquid Layer
In order to determine the ratio of heights of the liquids, we need to analyze the forces acting on each liquid layer. The forces acting on a liquid layer are:
- Force due to gravity
- Buoyant force
Step 2: Calculate the Height of Each Liquid Layer
Using the forces acting on each liquid layer, we can calculate the height of each layer. The height of a liquid layer can be calculated using the equation:
h = (P - P0) / ρg
Where,
P is the pressure at the bottom of the layer,
P0 is the pressure at the top of the layer,
ρ is the density of the liquid,
g is the acceleration due to gravity.
Step 3: Calculate the Pressure at the Bottom and Top of Each Liquid Layer
To calculate the pressure at the bottom and top of each liquid layer, we need to consider the pressure due to the weight of the liquid above it. The pressure at any point in a fluid is given by the equation:
P = P0 + ρgh
Where,
P is the pressure at the bottom of the layer,
P0 is the pressure at the top of the layer,
ρ is the density of the liquid,
g is the acceleration due to gravity,
h is the height of the liquid layer.
Step 4: Calculate the Ratio of Heights (H/h)
The ratio of heights can be calculated by dividing the height of the tallest liquid layer by the height of the shortest liquid layer. In this case, the height of the tallest liquid layer is H, and the height of the shortest liquid layer is h.
Step 5: Substitute the Given Values and Solve the Equation
Substitute the given values of the densities (d, 2d, 3d) into the equations and solve for the heights of the liquid layers. Then, substitute the calculated heights into the ratio equation to find the ratio of heights (H/h).
Answer:
The ratio of heights (H/h) of the three immiscible liquids can be calculated by solving the equations using the given values. The calculated ratio will depend on the specific values of d.
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Three Immiscible liquid of densities d, 2d and 3d are kept in a jar as shown in figure. then the ratio H/h is?
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Three Immiscible liquid of densities d, 2d and 3d are kept in a jar as shown in figure. then the ratio H/h is? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Three Immiscible liquid of densities d, 2d and 3d are kept in a jar as shown in figure. then the ratio H/h is? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three Immiscible liquid of densities d, 2d and 3d are kept in a jar as shown in figure. then the ratio H/h is?.
Three Immiscible liquid of densities d, 2d and 3d are kept in a jar as shown in figure. then the ratio H/h is? for Mechanical Engineering 2025 is part of Mechanical Engineering preparation. The Question and answers have been prepared according to the Mechanical Engineering exam syllabus. Information about Three Immiscible liquid of densities d, 2d and 3d are kept in a jar as shown in figure. then the ratio H/h is? covers all topics & solutions for Mechanical Engineering 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Three Immiscible liquid of densities d, 2d and 3d are kept in a jar as shown in figure. then the ratio H/h is?.
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