Image formation by refraction from plane and curved surface
The image of an object placed in air formed by a convex refracting surface is at a distance of 10 m behind the surface. The image is real and is at (2^(rd))/(3) of the distance of the object from the surface. The wavelength of light inside the surface is (2)/(3) times the wavelength in air. The radius of the curved surface is (x)/(13)m . The value of 'x' is _________.
Object O is placed in front of a plane mirror M. A glass slab S having thickness t = 3 cm and refractive index mu = 1.8 is placed between the object and the mirror. The refracting faces of the slab are parallel to the mirror surface. The object is made to move with a velocity of u = 2 m//s perpendicular to the mirror surface. Find the speed of the image formed after (a) refraction from the slab followed by reflection from the mirror. (b) refraction from the slab followed by reflection from the mirror followed by the refraction from the slab.
An object is placed 50 cm from the surface of a glass sphere of radius 10 cm along the diameter. Where will the final image be formed after refraction at both the surfaces ? mu of glass =1.5 .
Consider the situation in Fig. The bottom of the pot is a reflecting plane mirror, S is a small fish, and T is a human eye. Refractive index of water is mu . a. At what distance(s) from itself will the fish see the image(s) of the eye? b. At what distance(s) from itself will the eye see the image(s) of the fish?
Plane surface of a thin planoconvex lens reflects 50% of light, while the curved surface is completely transparent, if final image of O after refraction through lens coinsides with the image formed due to partial reflection from plane surface. if distance (in m) between O and lens is x then find x//4
