- A glass sphere of refractive index `mu` 2.4 has one half silvered. A point object O is placed in front of the sphere at a distance d as shown in the figure. The value of d for which image of O is coinciding with the object O itself is given by d = kR then value of K will be? Consider paraxial rays approximation to be valid.

A glass hemispher of refractive index 4//3 and of radius 4 cm is placed on a plane mirror. A point object is placed on axis of this sphere at a distance 'd' from O as shown in the figure. If the final image is formed at infinity, then find the value of d in mm .

Consider the arrangement of thin lenses as shown in the figure. An object O is placed at a distance of mR from the system of thin lenses. From the lens system a plane mirror is placed at an unknown distance as shown for what value of m image of O and object O will coincide with each other. Consider paraxial rays approximation to be valid.

A point object O is placed slightly above the centre C of a glass sphere as shown in figure. If it is viewed almost normally from above the sphere, its image is seen

A slab of glass, of thickness 6 cm and refractive index mu =1.5 is placed in front of a concave mirror as shown in the figure. If the radius of curvature of the mirror is 40 cm and the reflected image coincides with the object, then the distance of the object from the mirror is

Consider the rays shown in figure, as paraxial. The image of the virtual point object O formed by the lens LL is

A thin equiconvex lens has focal length 10 cm and refractive index 1.5 . One of its faces is now silvered and for an object placed at a distance u in front of it, the image coincides with the object. The value of u is