Calculate the index of refraction of a liquid from the following into glass:
Reading for the bottom of an empty beaker:11.324 cm .
Reading for the bottom of the beaker,when partially filled with the liquid:11.802 cm
Reading for the upper level of the liquid in the beaker:12.895 cm.

While determining th refractive index of a liquid experimentally, he miroscope was focussed at the bottom of a beaker,when its reading was 3.965 cm.On pouring liquid upto a height of 2.537 cm inside the beaker ,the reading of the refocussed microscoe was 3.348 cm.Find the refractive index of the liquid.

An observer can see through a pin-hole the top end of a thin rod of height h, placed as shown in the figure. The height of beaker is 3h and its radius is h. When the beaker is filled with a liquid up to a height 2h, he can see the lower end of the rod. Then the refractive index of the liquid is .

A liquid of refractive index 1.5 is poured into a cylindrical jar of radius 20 cm upto a height of 20 cm.A small bulb is lighted at he centre of the bottom of the jar.Find the area of the liqud surface throug which the light of the bulb passes into air.

A convex lens is made of glass of refractive index 1.5.If radius of curvature of the each of its twosurfaces is 20 cm,find the ratio of the power of the lens,when placed in air to its power ,when immersed inside a liquid of refractive index 1.25.

A convex lens is made of glass of refractive index 1.5. If radius of curvature of the each of its two surfaces is 20 cm, find the ratio of power , of lens when placed in air to its power, when immersed inside a liquid of refractive index 1.25 .

A tank is filled with water to a height of 12.5 cm. The apparent depth of a needle lying at the bottom of the tank is measured by a microscope to be 9.4 cm. What is the refractive index of water? If water is replaced by a liquid of refractive index 1.63 up to the same height, by what distance would the microscope have to be moved to focus on the needle again?

The bottom of a container is a 4.0 cm thick glass (mu=1.5) slab. The container contains two immiscible liquids A and B of depths 6.0 and 8.0 cm respectively. What is the apparent position of a scratch on the outer surface on the bottom of the glass slab, when viewed through the container? Refractive indices of A and B are 1.4 and 1.3 respectively.

A jar of height h is filled with a transparent liquid of refractive index mu as shown in Fig.6.05. At the centre of the jar on the bottom surface is a dot.Find the minimum diameter of a disc,such that when placed on the top surface symmetrically about the centre,the dot is invisible.

A vessel ABCD of 10 cm width has two small slits S_(1) and S_(2) sealed with idebtical glass plates of equal thickness. The distance between the slits is 0.8 mm. POQ is the line perpendicular to the plane AB and passing through O, the middle point of S_(1) and S_(2) . A monochromatic light source is kept at S, 40 cm below P and 2 m from the vessel, to illuminate the slits as shown in the figure. Calculate the position of the central bright fringe on the other wall CD with respect of the line OQ. Now, a liquid is poured into the vessel and filled up to OQ. The central bright fringe is fiund to be at Q. Calculate the refractive index of the liquid.