Liquid A is denser than liquid B, a body of wood is dipped in both the...
Buoyant force is the upward force exerted by a fluid on an object immersed in it. It is equal to the weight of the fluid displaced by the object. When an object is immersed in a fluid, it experiences an upward buoyant force that is equal to the weight of the fluid that it displaces.
In this scenario, we have a body of wood that is dipped in two different liquids, liquid A and liquid B. It is mentioned that liquid A is denser than liquid B.
Let's analyze the buoyant force experienced by the body in each liquid:
1. Buoyant force in liquid A:
Since liquid A is denser than liquid B, it means that it has a higher density. Density is defined as the mass per unit volume. A denser liquid means that it has more mass packed into a given volume.
- When the body of wood is immersed in liquid A, it will displace a certain volume of liquid A equal to its own volume.
- Since liquid A is denser, the weight of the displaced liquid will be greater compared to liquid B.
- As a result, the buoyant force experienced by the body in liquid A will be greater.
2. Buoyant force in liquid B:
Since liquid B is less dense than liquid A, it means that it has a lower density. A less dense liquid means that it has less mass packed into a given volume.
- When the body of wood is immersed in liquid B, it will displace a certain volume of liquid B equal to its own volume.
- Since liquid B is less dense, the weight of the displaced liquid will be less compared to liquid A.
- As a result, the buoyant force experienced by the body in liquid B will be less.
Therefore, the correct answer is option 'A': the buoyant force experienced by the body is more in liquid A compared to liquid B. This is because liquid A is denser, and the weight of the displaced liquid in liquid A is greater.
Liquid A is denser than liquid B, a body of wood is dipped in both the...
Because A has more density than B
According to formula
Upthrust=volume of immerge portion of solid × density of liquid × acceleration due to gravity
so upthrust is directly proportional to volume of immerged portion of solid , density of liquid and acceleration due to gravity
As density is more than upthrust is more.
so A has more density so upthrust acting on A is also more .
To make sure you are not studying endlessly, EduRev has designed Class 9 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 9.