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A small metal sphere of radius $a$ is falling with a velocity $v$ through a vertical column of a viscous liquid. If the coefficient of viscosity of the liquid is $\eta $ , then the sphere encounters an opposing force of
Two immiscible liquids $A$ and $B$ are kept in an U-tube. If the density of liquid $A$ is smaller than the density of liquid $B$, then the equilibrium situation is
$Assertion :$ A thin stainless steel needle can lay floating on a still water surface.
$Reason :$ Any object floats when the buoyancy force balances the weight of the object
A cube of edge length $10 \,cm$ is just balanced at the interface of two liquids $A$ and $B$ as shown in figure. If $A$ and $B$ has specific gravity $0.6$ and $0.4$ respectively, then mass of cube is ................ $g$
A steady flow of water passes along a horizontal tube from a wide section $X$ to the narrower section $Y$, see figure. Manometers are placed at $P$ and $Q$ at the sections. Which of the statements $A, B, C, D, E$ is most correct?
A closed vessel have a small hole in one face of vessel near the bottom as shown. The velocity of water coming out from the given hole at given instant is ....... $m/s$