Ray Optics and ...

A thin glass (refractive index 1.5) lens has optical power of -5D in air.Its optical power in a liquid medium with refractive index 1.6 will be: 

A thin Prism $$P_1$$ with angle $$4^o$$ and made from glass of refractive index 1.54 is combined with another thin prism $$P_2$$ made from glass of refractive index 1.72 to produce dispersion without deviation. The angle of Prism $$P_2$$ is 

A beam of the light incident vertically on a glass hemisphere of radius R and refractive index $$\sqrt 2$$ lying with its plane side on a table .The axis of beam coincides with the vertical axis passing through the center of the base of the hemisphere and the cross sectional radius is $$\cfrac{R}{\sqrt2}$$ .The luminious spot form on the table is 

Inside a 6 cm thick glass slab a rectangular cavity is made as shown. On one face of slab a cross is marked. On other side an observes is looking i=on the slab. Find the shift of cross as seen by the man

For path $$A \rightarrow B$$ optical path is

Light propagates $$2\ cm$$ distance in glass of refractive index $$1.5$$ in time $$t_0$$. In the same time $$t_0$$, light propagates a distance of $$2.25\ cm$$ in a medium. The refractive index of the medium is :

Range the values of tip angle $$\theta$$ for the advice to work as anamorphic de-magnifier is

The refractive index of material of a prism of angles $$45^{\circ}, -45^{\circ}$$, and $$-90^{\circ}$$ is $$1.5$$. The path of the ray of light incident normally on the hypotenuse side is shown in

A light ray is incident ton face AB of prism ABC as shown in figure. The second prism is kept in such a manner that emergent ray from prism ABC is falling normally on face A'B' of prism A'B'C'. The net deviation produced by the optical' system of the two prisms is :

A ray enters a glass slab at an angle $$ \alpha $$ from air and the refractive index varies along the slab as $$ \mu = \mu_0 - kt^2 $$ where $$ t $$ is the distance measured along the normal . $$ \mu_0 $$ and $$ k $$ are positive constants . If the glass slab is sufficiently thick , how far along the normal will the ray go before  it reflects back ?