Two identical beakers are both half filled with a liquid. Beaker A contains water and Beaker B contains a liquid that is denser than water. Which of the following is FALSE?

a. The pressure at the bottom of Beaker B is greater than that at the bottom of Beaker A.

b. The pressure within each fluid is exerted equally in all directions.

c. The mass of fluid in Beaker B is greater than the mass of fluid in Beaker A.

d. The mass of fluid in Beaker A is greater than the mass of fluid in Beaker B.

e. The volume of fluid in Beaker B is equal to the volume of fluid in Beaker A.

its denfenitly not E cause i just got it wrong js.

b. The pressure within each fluid is exerted equally in all directions.

Explanation: The pressure at the bottom of a fluid is directly related to the height and density of the fluid above it. In this case, Beaker B contains a liquid that is denser than water, which means the pressure at the bottom of Beaker B will be greater than that at the bottom of Beaker A (option a is true). However, the pressure within each fluid is not necessarily exerted equally in all directions since the density of the liquids can vary (option b is false). The mass of the fluid in Beaker B is greater than the mass of fluid in Beaker A because it is denser (option c is true). The mass of fluid in Beaker A is less than the mass of fluid in Beaker B because it is less dense (option d is false). The volume of fluid in Beaker B is equal to the volume of fluid in Beaker A, as both beakers are half-filled (option e is true).

To determine which statement is false, let's evaluate each statement one by one:

a. The pressure at the bottom of Beaker B is greater than that at the bottom of Beaker A.

This statement is true. The pressure at the bottom of a fluid is directly proportional to the depth and density of the fluid. Since Beaker B contains a liquid that is denser than water, the pressure at the bottom of Beaker B will be greater than that at the bottom of Beaker A, which contains water.

b. The pressure within each fluid is exerted equally in all directions.

This statement is true. The pressure within a fluid is transmitted equally in all directions. This principle is known as Pascal's law. The pressure at any point within a fluid depends only on the depth and density of the fluid, not on the shape or size of the container.

c. The mass of fluid in Beaker B is greater than the mass of fluid in Beaker A.

This statement is true. Since both beakers are identical and are half-filled with liquid, Beaker B contains a liquid that is denser than water. Hence, the mass of fluid in Beaker B will be greater than the mass of fluid in Beaker A, which contains water.

d. The mass of fluid in Beaker A is greater than the mass of fluid in Beaker B.

This statement is false. As explained in the previous statement, Beaker B contains a liquid that is denser than water. Therefore, the mass of fluid in Beaker B will be greater than the mass of fluid in Beaker A.

e. The volume of fluid in Beaker B is equal to the volume of fluid in Beaker A.

This statement is false. Although both beakers are identical and are half-filled with liquid, the density of the liquids in the two beakers is different. Therefore, the volume of fluid in Beaker B will be different from the volume of fluid in Beaker A.

Based on our evaluation:

The false statement is: d. The mass of fluid in Beaker A is greater than the mass of fluid in Beaker B.

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