Practice Problems on Archimedes’ Principle

Q1. A body of volume 100cm³ weighs 5kgf in air. It is completely immersed in a liquid of density 1.8 × 10³ kg m^-3. Find : (1) upthrust due to the liquid, (2) the weight of the body in the liquid

Q2. A spherical ball of density ρ=7.7g cm^-3 has a radius of r=14cm. If the ball is placed on the surface of water and released, how much of the ball becomes submerged in the water? (g=10ms^-2)

Q3. The mass of a block made of a certain material is 13.5kg and its volume is 15 × 10^-3m³.(1) Calculate the upthrust on the block if it is held full immersed in water, (2)Will the block sink or float on releasing? Give reason for your answer, (3)What will be the upthrust on the block while floating? take D_L = 1000kg m^-3

Q4. A body of mass 3.5kg displaces 1L of water when fully immersed in it. Calculate: (1)The volume of the body, (2)the upthrust on the body, (3) the apparent weight of the body in water.

Q5. A metal cube with edge 5cm and density 9.0 gcm^-3 is suspended by thread so as to be completely in a liquid of density 1.2 g cm^-3. Find the the tension in the thread. (take g = 10 m s^-2)

Q6. A block of wood is floating with tis dimension 75 cm × 75 cm × 75cm inside water. Calculate the buoyant force acting on the the block. Take g = 9.8 N kg^-1.

Q7. You are provided with a hollow iron ball A of volume 15 cm^-3 and mass 12 g and a sold iron ball B of mass 12g. Both are placed on the surface of water contained in a large tub. (1) FInd the upthrust on each ball, (2) Which ball will sink? Give reason for your answer. (Density_iron = 8.0 g cm^-1)

Q8. Two spheres A and B, each of volume 100cm³ are placed on water (density = 1.0 g cm^-3). The sphere A is made of wood of density = 0.3 g cm^-3 and the sphere B is made of iron of density 8.9 g cm^-3. Find: (1) the weight of each sphere, (2) the upthrust on each sphere. Which sphere will float? Give reason.

Q9. State Archimedes Principle.

Archimedes Principle is a fundamental concept in fluid mechanics, credited to the ancient Greek mathematician and physicist Archimedes. According to Archimedes’ Principle, when an object is immersed in a fluid the object experiences an upward force whose magnitude is equal to the weight of the fluid displaced by the object.

Archimedes’ principle has applications in various fields, from ship design to understanding the behavior of objects in water. Archimedes’ Principle is important for class 9 students.

In this article, we are going to learn about what is Archimedes Principle, its formula, how to derive it, its application, and its experimental verification of Archimedes