A body is just floating on surface of a liquid. density of body is same as that of liquid. body is s

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9-1.Fluid Mechanics

easy

A body is just floating on the surface of a liquid. The density of the body is same as that of the liquid. The body is slightly pushed down. What will happen to the body

It will slowly come back to its earlier position

It will remain submerged, where it is left

It will sink

It will come out violently

(AIIMS-1980)

Solution

(b) When a body is just floating in a liquid whose density is equal to the density of body is pushed down slightly then downward force on the body increases due to atmospheric pressure and due to water column above the body. As a result of which the body sinks in the liquid.

Standard 11

Physics

A sphere of solid material of relative density $9$ has a concentric spherical cavity and floats having just sinked in water. If the radius of the sphere be $R$, then the radius of the cavity $(r)$ will be related to $R$ as :-

hard

A solid sphere of radius $R$ and density $\rho$ is attached to one end of a mass-less spring of force constant $k$. The other end of the spring is connected to another solid sphere of radius $R$ and density $3 p$. The complete arrangement is placed in a liquid of density $2 p$ and is allowed to reach equilibrium. The correct statement$(s)$ is (are)

$(A)$ the net elongation of the spring is $\frac{4 \pi R^3 \rho g}{3 k}$

$(B)$ the net elongation of the spring is $\frac{8 \pi R^3 \rho g}{3 k}$

$(C)$ the light sphere is partially submerged.

$(D)$ the light sphere is completely submerged.

hard

(IIT-2013)

If there were no gravity. which of the following will not be there for a fluid?

easy

When two corks, one small and one big are taken into a vessel filled with water and released which cork will come fast on the surface of water ? Why ?

medium

A cubical block of density $\rho $ is floating on the surface of water. Out of its height $\mathrm{L}$, fraction $\mathrm{x}$ is submerged in water. The vessel is in an elevator accelerating upward with acceleration $\mathrm{a}$. What is the fraction immersed ?