Archemedes' Principle

A boat having some iron pieces is floating in a pond. If iron pieces are thrown in the liquid then level of liquid 

A body floats in water with 40% of its volume outside water. When the same body floats in an oil 60% of its volume remains outside oil. The relative density of oil is

State Archimedes principle.

What is upthrust or buoyancy?

A cube of side $4 cm$ is just completely immersed in a liquid $A$. When it is put in a liquid $B$, it floats with $2 cm$ outside the liquid. Calculate the ratio of densities of the two liquids.

A streamlined body falls through air from a height $h$ on the surface of a liquid. If $d$ and $D(D>d)$ represents the densities of the material of the body and liquid respectively, then the time after which the body will be instantaneously at rest, is:

Which Roman port was the main harbor of Rome and crucial for grain imports?

What is the term for a landform created when an arch collapses, leaving an isolated column of rock in the sea?

Geyserite is primarily composed of which substance?

Describe buoyant force.

Some iron beads are embedded in wax ball which is just floating in water. The volume of ball is $18\mathrm{ }\mathrm{c}{\mathrm{m}}^3$ and relative density of wax is $0.9$. Then mass of the iron trapped in the ball is 

A sphere of material of relative density $8$ has a concentric spherical cavity and just sinks in water. If the radius of the sphere is $2 \mathrm{cm}$, then the volume of the cavity is

A body floats in water with one-third of its volume above the surface of water. If it is placed in some oil, it floats with half of its volume above the oil surface. Then, specific gravity of the oil is

Two cylinders of same cross-section and length L but made of two material of densities d1 and d2 are cemented together to form a cylinder of length 2L. The combination floats in a liquid of density d with a length L/2 above the surface of the liquid. If ${\mathrm{d}}_1<{\mathrm{d}}_2$ then -

The volume of brick is 2.197 litres. The submerged brick is balanced by a 2.54 kg mass on the beam scale. The weight of the brick is -

When a loaded boat enters into the sea from a river, it rises because:

A ball of mass $10\mathrm{ }\mathrm{k}\mathrm{g}$ and density $1\mathrm{g}\mathrm{m}/{\mathrm{c}\mathrm{m}}^3$ is attached to the base of a container having a liquid of density $1.1\mathrm{g}\mathrm{m}/{\mathrm{c}\mathrm{m}}^3$, with the help of a spring as shown in the figure. The container is going up with an acceleration $2\mathrm{m}/{\mathrm{s}}^2$. If the spring constant of the spring is $200\mathrm{N}/\mathrm{m}$, the elongation in the spring is -

A uniform cylinder of length $\mathrm{L}$ and mass $\mathrm{M}$ having cross-sectional area A is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half-submerged in a liquid of density $\mathrm{\rho }$ at equilibrium position. When the cylinder is given a small downward push and released it starts oscillating vertically with a small amplitude. If the force constant of the spring is k, the frequency of oscillation of the cylinder is -

A piece of metal weight 46 gm in air, when it is immersed in the liquid of specific gravity 1.24 at $27°C$ it weighs 30 gm. When the temperature of liquid is raised to $42°C$ the metal piece weight 30.5 gm, specific gravity of the liquid at $42°C$ is 1.20, then the linear expansion of the metal will be

A vessel with water is placed on a weighing pan and it reads $600 \mathrm{g}$. Now a ball of $40 \mathrm{g}$ and density $0.8 \mathrm{g} \mathrm{c}{\mathrm{c}}^{-1}$ is sunk into the water with a pin of negligible volume as shown in figure keeping it sunk. The weighing pan will show a reading