Water drips from a tap at the rate of 4 drops in every 3 seconds. Volume of one drop of 0.4 `cm^3`, If dripped water is collected in a cylinder vessel of height 7 cm and diameter is 8 cm. In what times vessel be completely filled? What is the bolume of water collected? How many such vessels will be completely filled in 3 hours in 40 minutes?

How much water should be filled in a container of height 21 cm, so that it appears half filled to the observer when viewed from the top of the container (mu=4//3).

A bucket completely full of water is 46 cm deep. A coin kept at the bucket when viewed normally will appearat (n_W = frac(4)(3))

The time taken by the sunlight to reach the bottom of a tank of depth 4.5 m filled completely with water is …………. Ns. The refractive index of water is 4/3 .

A cylinder of height h is filled with water and is kept on a block of height h/2. The level of water in the cylinder is kept constnat. Four holes numbered 1,2,3, and 4 are at the side of the cylinder and at heights 0,. h/4, h/2 and (3h)/(4) respectively. When all four hles are opened together, the hole from which water will reach farthest distnace on the plane PQ is the hole no.

Iceberg floats in water with part of it submerged. What is the fraction of the volume of iceberg submerged if the density of ice is rho = 0.917 g cm^(-3) ?

Solve the following example : The mass of a tile is 500 g. If the density of the tile is 2.5 g//cm^3 . What will be the weight of the tile when it is completely immersed in water ? (g = 9.8 m//s^2, rho (water) = 1000 kg//m^3)

Water is being poured into a vessel in the form of an inverted right circular cone of semi vertical angle 45^@ in such a way that the rate of change of volume at any moment is proportional to the area of the curved surfaces which is wet at that moment.Initially the vessel is full to a height of 1 cm and after 1 second the height is 3 cm.Show that the height of the water after 3 seconds will be 7 cm.

There is a tiny LED bulb, at the centre of the bottom of a cylindrical vessel of diameter 6 cm. Height of the vessel is 4 cm The beaker is filled completely with an optically dense liquid. The bulb is visible from any inclined position but just visible, if seen along the edge of the beaker. Determine the reflective index of the liquid.