if two plane mirrors are placed parallel to each other. A ray strikes at an angle of 45 degree thn how many images can be seen?

If point object is placed on principal axis of a convex lens made up of two different material( above pole and below pole different material) How many images can be seen?

To determine the number of images formed in each scenario, we need to understand the concepts of reflection and refraction.

1. Two Plane Mirrors:
If two plane mirrors are placed parallel to each other, a ray of light incident at an angle of 45 degrees will undergo multiple reflections. To find the number of images, we can use the formula:
Number of Images = 360 degrees / Angle of Incidence - 1

In this case, the angle of incidence is 45 degrees. Plugging in the values:
Number of Images = 360 degrees / 45 degrees - 1 = 8

Therefore, when a ray of light strikes at an angle of 45 degrees in between two parallel plane mirrors, a total of eight images will be seen.

2. Convex Lens with Two Different Materials:
If a point object is placed on the principal axis of a convex lens made up of two different materials (above the pole and below the pole), the number of images formed depends on the refractive index of the materials and the positioning of the object.

If the refractive index of the material changes abruptly at the pole, two images of the object will be formed. One image will be formed above the pole, using the refractive index of the upper material, and the other image will be formed below the pole, using the refractive index of the lower material.

However, if the change in refractive index is gradual and smooth, there will be only one image formed. This is because the light rays passing through the lens will gradually bend, resulting in a single image.

Therefore, if the convex lens has a clear distinction in materials above and below the pole, two images will be formed. If there is a gradual change in refractive index, one image will be formed.