Podcast
Questions and Answers
A cylindrical container is half-filled with a liquid of density $\rho$. If more of the same liquid is poured into the container, filling it completely while maintaining a constant temperature, what is the final density of the liquid?
A cylindrical container is half-filled with a liquid of density $\rho$. If more of the same liquid is poured into the container, filling it completely while maintaining a constant temperature, what is the final density of the liquid?
- $2\rho
- $\rho$ (correct)
- $\frac{3}{2}\rho
- $\frac{1}{2}\rho
A cuboid-shaped box with dimensions 4cm x 6cm x 8cm is placed on different faces on a horizontal surface. On which face should the box be placed to exert the lowest pressure on the surface?
A cuboid-shaped box with dimensions 4cm x 6cm x 8cm is placed on different faces on a horizontal surface. On which face should the box be placed to exert the lowest pressure on the surface?
- Face Z (4cm x 6cm)
- The pressure is the same for all faces.
- Face X (6cm x 8cm) (correct)
- Face Y (4cm x 8cm)
A pebble is suspended by a thread in a liquid. Which of the following actions would increase the pressure of the liquid on the upper surface of the pebble?
A pebble is suspended by a thread in a liquid. Which of the following actions would increase the pressure of the liquid on the upper surface of the pebble?
- Decreasing the surface area of the pebble.
- Increasing the mass of the pebble.
- Using another liquid of lower density.
- Increasing the depth of the pebble in the liquid. (correct)
Two immiscible liquids, X and Y, with densities $2\rho$ and $\rho$ respectively, are placed in a U-shaped tube. Which of the following diagrams correctly represents the equilibrium positions of the liquids in the tube?
Two immiscible liquids, X and Y, with densities $2\rho$ and $\rho$ respectively, are placed in a U-shaped tube. Which of the following diagrams correctly represents the equilibrium positions of the liquids in the tube?
A container is filled with a liquid of density $\rho$. If the container's volume is doubled while maintaining constant mass and temperature, what happens to the density of the liquid?
A container is filled with a liquid of density $\rho$. If the container's volume is doubled while maintaining constant mass and temperature, what happens to the density of the liquid?
A rectangular block rests on a table. If the block is rotated so it stands on its end, which has the smallest area, how does the pressure exerted on the table change?
A rectangular block rests on a table. If the block is rotated so it stands on its end, which has the smallest area, how does the pressure exerted on the table change?
A stone is submerged in a container of water. What action will NOT increase the pressure exerted by the water on the stone?
A stone is submerged in a container of water. What action will NOT increase the pressure exerted by the water on the stone?
Two immiscible liquids are poured into a U-shaped tube. Liquid A has density $\rho_A$ and liquid B has density $\rho_B = 1.5\rho_A$. If liquid A has a height of $h_A$ above the interface, what is the height $h_B$ of liquid B above the interface when the system is in equilibrium?
Two immiscible liquids are poured into a U-shaped tube. Liquid A has density $\rho_A$ and liquid B has density $\rho_B = 1.5\rho_A$. If liquid A has a height of $h_A$ above the interface, what is the height $h_B$ of liquid B above the interface when the system is in equilibrium?
A tall cylinder contains a liquid. If you pour more of the same liquid into the cylinder, what will happen to the pressure at the bottom of the cylinder?
A tall cylinder contains a liquid. If you pour more of the same liquid into the cylinder, what will happen to the pressure at the bottom of the cylinder?
A rectangular block can be placed on three different faces. Which placement will result in the highest pressure on the surface?
A rectangular block can be placed on three different faces. Which placement will result in the highest pressure on the surface?
Flashcards
Density of a liquid
Density of a liquid
Density remains the same when more liquid of the same type is added at constant temperature.
Lowest pressure on a surface
Lowest pressure on a surface
Pressure is lowest when the force is distributed over a larger area.
Pressure on a submerged object
Pressure on a submerged object
Increasing the depth of an object in a liquid increases the pressure on its surface.
Liquids in U-tube equilibrium
Liquids in U-tube equilibrium
Signup and view all the flashcards
Study Notes
- These notes cover physics concepts related to fluid density, pressure, and equilibrium in liquids.
Density Change in a Cylindrical Container
- A cylindrical container is initially half-filled with a liquid of density ρ.
- More of the same liquid is added to fill the container completely while keeping the temperature constant.
- The density of the liquid remains ρ, as density is an intrinsic property and doesn't change with volume at constant temperature.
Pressure on Cuboid-Shaped Box
- A cuboid-shaped box is placed on a horizontal plane surface.
- The dimensions of the box are: 4 cm, 6 cm, and 8 cm, corresponding to faces Y, X, and Z respectively.
- To achieve the lowest pressure, the box should be placed on the face with the largest area.
- Face X has the largest area (6 cm x 8 cm), the box on Face X exerts the lowest pressure.
Pressure on Suspended Pebble
- A pebble is suspended in a liquid.
- Increasing the depth of the pebble in the liquid increases the pressure on the upper surface of the pebble.
- Pressure in a liquid increases with depth (P = ρgh, where ρ is the density of the liquid, g is the acceleration due to gravity, and h is the depth).
Liquid Equilibrium in a U-Shaped Tube
- Two immiscible liquids, x and y, are placed in a U-shaped tube.
- The density of liquid x is 2ρ, and the density of liquid y is ρ.
- At equilibrium, the heights of the liquids are inversely proportional to their densities (ρ₁h₁ = ρ₂h₂).
- This means 2ρ * hₓ = ρ * h_y, which simplifies to h_y = 2hₓ.
- Option a correctly represents this equilibrium, with h_y = 2h and h_x = h.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
