Ray Optics and ...

As shown in figure, the liquids $$L_1,L_2$$ and $$L_3$$ have refractive indices. $$1.55,\ 1.50$$ and $$1.20$$ respectively. Therefore, the arrangement corresponds to 

A ray of light travels from air to liquid by making an angle of incidence $$24^o$$ and angle of refraction is $$18^o$$. Find the R.I. of liquid. Determine the wavelength of light in air and in liquid the frequency of light is $$5.4\times 10^{15}$$ Hz. c$$=3\times 10^8$$ m/s.

a diverging lens of focal length - $$10$$ cm is moving towards right with a velocity $$5$$ m/s. An object, placed on Principal axis is moving towards left with a velocity $$3$$ m/s. The velocity of the image at the instant when the lateral magnification produced is $$1/2$$ is: (All velocities are with respect to ground) 

A parallel beam of width $$'a'$$, is incident on the surface of glass slab $$(\mu=3/2)$$, at an angle $$'i'$$ and the angle of refraction in glass is $$'r'$$. The width of the refracted parallel beam will be ?

A ray of light of wave length $$4500$$ A.U. in water is refreacted in air and passes just grazing the water surface. Find the angle of incience of ray in water if wavelength of light in air is $$6000$$ A.U.

A rectangular glass slab $$ABCD$$ of refractive index $$n_{1}$$ is immersed in water of refractive index $$n_{2}(n_{1} < n_{2})$$. A ray of light is incident at the surface $$AB$$ of the slab as shown. The maximum value of the angle of incidence $$\alpha_{max}$$ such that the ray comes out from the other surface $$CD$$ is given by

A cubical transparent slab is used as a paper weight.What should be the minimum refractive index of  the material of the slab so that  letters below it are not visible from any of its vertical faces.

The graph between u and v for a convex mirror is 

A ray of light travels from water to glass as shown below. The refractive index of water is $$1.3$$ and the refractive index of glass is $$1.5$$. What is the angle of refraction ?

A transparent solid cylindrical rod has a refractive index of $$\frac{2}{{\sqrt 3 }}$$. It is surrounded by air. A light ray is incident at the mid-point of one end of the rod as shown in figure: