In a thick glass slab of thicknes l, and refractive index `n_(1)`, a cuboidal cavity of thickness 'm' is carved as shown in figure, and is filled with a liquid of `R.I. n_(2)(n_(1)gtn_(2)).` The ratio `l//m`, so that shift produced by this slab is zero when an observer A observes an object B with paraxial rays is

A ray of light passes through a plane glass slab of thickness t and refractive index n = 1.5 . The angle between the incident ray and emergent ray will be

A transparent slab of thickness d has a refractive index n(z) that increases with z. Here z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n_(1) and n_(2)(gtn_(1)) , theta_(i) , from medium 1 and emerges in medium 2 with refraction angle theta_(f) with a lateral displacement l. Which of the following statement(s) is (are) true?

A transparent slab of thickness d has a refractive index n(z) that increases with z. Here z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n_(1) and n_(2)(gtn_(1)) , theta_(0) , from medium 1 and emerges in medium 2 with refraction angle theta_(t) with a lateral displacement l. Which of the following statement(s) is (are) true?

A transparent slab of thickness d has a refractive index n(z) that increases with z. Here z is the vertical distance inside the slab, measured from the top. The slab is placed between two media with uniform refractive indices n_(1) and n_(2)(gtn_(1)) , theta_(0) , from medium 1 and emerges in medium 2 with refraction angle theta_(t) with a lateral displacement l. Which of the following statement(s) is (are) true?

A glass slab made of a material of refractive index n_1 is kept in a medium of refractive index n_2 . A light ray is incident on the slab. Draw the path of the rays of light emerging from the glass slab, if n_1=n_2

A glass slab made of a material of refractive index n_1 is kept in a medium of refractive index n_2 . A light ray is incident on the slab. Draw the path of the rays of light emerging from the glass slab, if n_1 lt n_2

A glass slab made of a material of refractive index n_1 is kept in a medium of refractive index n_2 . A light ray is incident on the slab. Draw the path of the rays of light emerging from the glass slab, if n_1 gt n_2

The time taken by a ray of light to travel through a glass slab of thickness 2 cm and refractive index 1.5 will be