Two plane mirrors are placed making an angle θ in between them. Write an expression for the number of images formed if an object is placed in between the mirrors. State the condition, if any.
Two plane mirrors are placed making an angle θ in between them. Write an expression for the number of images formed if an object is placed in between the mirrors. State the condition, if any.
When you have more than
one mirror, you can create multiple reflections. These multiple reflections can lead to multiple
images.
Consider the two mirrors at right at
an angle of θ to each other. The object is a
small ball. The images form exactly on the
opposite side of each mirror, the same distance from the
mirror, just as you would expect for reflection from a
single mirror. The two mirrors each yield an image.
You will also notice that images lie equal distances
from the dotted line (representing a “reflection” of the
mirror surface itself).
When the angle is decreased, more reflections will occur.
The number of images can be found out by the formula below-
360θ−1,where θ is the angle in degrees
When you have more than
one mirror, you can create multiple reflections. These multiple reflections can lead to multiple
images.
Consider the two mirrors at right at
an angle of θ to each other. The object is a
small ball. The images form exactly on the
opposite side of each mirror, the same distance from the
mirror, just as you would expect for reflection from a
single mirror. The two mirrors each yield an image.
You will also notice that images lie equal distances
from the dotted line (representing a “reflection” of the
mirror surface itself).
When the angle is decreased, more reflections will occur.
The number of images can be found out by the formula below-
360θ−1,where θ is the angle in degrees
