Mechanical Prop...

The density $$D$$ of the material of the floating cylinder is:

An open vessel full of water is falling freely under gravity. There is a small hole in one filee of the vessel as shown in the figure. The water which comes out from the hole at the instant when hole is at height H above the ground, strikes the ground at a distance of $$x$$ from $$P$$. Which of the following is correct for the situation described?

A liquid flows along a horizontal pipe AB of uniform cross-section. The difference between the level of the liquid in tubes P and Q is $$10\  cm$$. The diameter of the tubes P and Q are the same. Then:
 ($$\displaystyle \\ g=9.8{ ms }^{ -2 }$$)

A cylindrical vessel open at the top is 20 cm high and 10 cm in diameter. A circular hole of cross sectional area $$1 cm^{2}$$ is cut at the centre of the bottom of the vessel. Water flows from a tube above it in to the vessel at the rate of $$10^{2} cm^{3}/s$$. The height of water in the vessel under steady state is
(Take $$g= 10m/s^{2}$$)

Equal volumes of a liquid is poured into containers A and B such that the area of cross-section of container A is double the area of cross-section of container B. If $$P_A$$ and $$P_B$$ are the pressures exerted at the bottom of the containers then $$P_A : P_B = $$__________

A cylinder of height h filled with water and is kept on lock of height h/2. The level of water in the cylinder is kept constant. Four holes numbered 1, 2, 3 and 4 are at the side of the cylinder and at height 0, h/4, h/2 and 3h/4, respectively. When all four holes are opened together, the hole from which water will reach farthest distance on the plane PQ is the hole number.

When pressure is applied through a piston at the top of a closed tube containing water, the pressure is transmitted to:

A capillary tube of radius $$r$$ is immersed in water and water rises to a height of $$h$$. Mass of water in the capillary tube is $$5\times 10^{-3}kg$$. The same capillary tube is now immersed in a liquid whose surface tension is $$\sqrt{2}$$ times the surface tension of water. The angle of contact between the capillary tube and this liquid is $$45^o$$. The mass of liquid which rises into the capillary tube now is (in kg):

A given shaped glass tube having uniform cross section is filled with water and is mounted on a rotatable shaft as shown in figure. If the tube is rotated with a constant angular velocity $$\displaystyle \omega $$, then