Mechanical Prop...

A marble of mass $$ x $$  and diameter $$ 2r $$ is gently released a tall cylinder containing honey .If the marble displaces mass $$y(<\, x) of the liquid , then the terminal velocity is proportional to 

The pressure at depth $$h$$ below the surface of a liquid of density $$\rho $$ open to the atmosphere is 

A liquid is flowing in a horizontal uniform capillary tube under a constant pressure difference p. The value of pressure for which the rate of flow of the liquid is doubled when the radius and length both are doubled, is

Water flows along a horizontal pipe whose cross.section is not constant. The pressure is 1 cm of Hg, where the velocity is $$35\, cms^{-1}$$. At a point where the velocity is $$65\, cms^{-1}$$, the pressure will be 

A liquid is filled upto a height of $$20\ m$$ in a cylindrical vessel. The speed of liquid coming out of a small hole at the bottom of the vessel is (take, $$g = 10\ ms^{-2}$$).

A cylindrical vessel of base radius R and height H has a narrow neck of height h and radius r at one end(see figure). The vessel is filled with water(density $$\rho_w$$) and its neck is filled with immiscible oil (density $$\rho_o$$). Then the pressure at :

Equal volumes of two immisible liquids of densities $$\rho$$ and $$2\rho$$ are filled in a vessel as shown in figure. Two small holes are punched at depths $$h/2$$ and $$3h/2$$ from the surface of lighter liquid. If $$v_1$$ and $$v_2$$ are the velocities of efflux at these two holes, then $$v_1/v_2$$ is?

A tank of height $$5\ m$$ is full of water. There is a hole of cross sectional area $$1\ cm^2$$ in its bottom. The initial volume of water that will come out from this hole per second is

Two mercury drops(each of radius r) merge to form a bigger drop. The surface energy of the bigger drop if T is the surface tensions 

In football sport a banana kick is an off-centre kick that makes the ball curve or suddenly change direction mid-air.The player achieves this by imparting revolution on the ball while kicking .The physical principle that best describes the banana kick is