What is the relation between refractive indicises`mu,mu_1` and `mu_2`,if the behaviour of light rays is as shown in Figs.2.69 and 2.70?
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Fig.2.100 shows a convex spherical surface with centre of curature C,separating the two media of refractive indices mu_1 and mu_2 . . Draw a ray diagram showing the formation of imge of a point object O lying on the principal axis.Derive the relationship between the object and image distances in terms of the refractie indices of the wo media and the radius of curvature R of the surface.

A prism of refractive index mu_1 and another prism of refractive index mu_2 are struck together without a gap as shown in Fig.3.17. . The ngles of the prisms are shown . mu_1 and mu_2 depend on delta ,the wavelength of light according to mu_1=1.20 +(10.8 xx 10^4)/(delta^2) and mu_2 = 1.45 + (1.8 xx 10^4)/(delta^2) , where delta is in nm. Calculate the wavelength delta_0 for which rays incident at any angle on the interface BC pass through without bending at that interrface.

The refrating angle of a prism is 40^@ and the refractive index of its material is given by mu=1.25 + b/(delta^2) When a ray of light is incident normally on the face AB of the prism,after refraction through the prism,the ray of light just grazes along the face AC as shown in Fig.3.20. . Find the critical angle for the material of the prism.

A ray of light passes through four transparent media with refractive indices mu_(1),mu_(2),mu_(3), and mu_(4) as shown in figure. The surfaces of all media are paralle. If the emerent ray CD is parallel to the incident ray AB, we must have

The refractig angle of a prism is A and the refractive index of its material is mu .When a ray of light is incident on the face AB of the prism,after refraction through the prism,the ray of light just grazes along the face AC as shown in Fig.3.21. Determine the value of the angle of incidence in terms of A and mu .

Explain the phenomenon of refraction through prism. Derive the following relation between refractive index and minimum deviation. mu=frac(sin(A+delta_m)//2)(sin A//2)

The refrating angle of a prism is 40^@ and the refractive index of its material is given by mu=1.25 + b/(delta^2) When a ray of light is incident normally on the face AB of the prism,after refraction through the prism,the ray of light just grazes along the face AC as shown in Fig.3.20. If the wavelength of the incident light is 440 nm,find the value of b.

A right angle prism (45^@-90^@-45^@) of refractive index mu has a plate of refractive index mu,(mu_1 lower than mu) cemented to its diagonal face.The assembly is in air.A ray is incident at face AB as shown in Fig.3.15 . Assuming mu=1.352 ,calculate the angle of incidence at face AB for which the refracted ray passes throught the diagonal face undeviated.

A right angle prism (45^@-90^@-45^@) of refractive index mu has a plate of refractive index mu,(mu_1 lower than mu) cemented to its diagonal face.The assembly is in air.A ray is incident at face AB as shown in Fig.3.15 . Calculate the angle of incidence at face AB for which the ray strikes the diagonal face at critical angle.

A hollow doublew concave lens is made of very thin transparent material.It can be filled with air ofr either of two liquids L_1 and L_2 having refractive indices mu_1 and mu_2 respectively (mu_2>mu_1>1) .The lens will diverge a parallel beam of light,if it is filled with