Mirror Problem: Find the Centre of Circle and Observer Location for Two Mirrors

[rubykap]

1. The problem statemen
two mirrors are place together ,show that a point source in front of these mirrors and its two images lie on a circle.

_--find the centre of circle

--- in a diagram show where an observer should stand so as to be able to see both images.


I am not getting any clue to solve this,please some body help me

The Attempt at a Solution

 

[johnj7]

What kind of mirrors?
How are they placed?
A better description of the situation would help.
Also, at what point in solving the problem are you confused on?

 

[baba89]

:

The problem statement is asking us to find the center of the circle formed by the reflection of a point source of light between two mirrors. This can be solved using geometry and the properties of reflection.

First, we need to understand that when a point source of light is placed in front of two mirrors, its reflection will form a cone of light. The reflection of the point source will appear at the same distance behind the mirrors as the original source is in front of them.

To find the center of the circle, we need to locate the point where the two reflections intersect. This point will be equidistant from both mirrors, forming a perfect circle. To do this, we can use the property that the angle of incidence is equal to the angle of reflection.

We can draw a line from the point source to the center of one mirror, and then draw a line from the center of the other mirror to the point where the first line intersects the second mirror. This point of intersection will be the center of the circle.

To find the location of the observer, we need to draw a line from the point source to the center of the circle and another line from the observer's location to the center of the circle. These two lines will form an angle, and the observer should be positioned at the point where this angle is equal to the angle of incidence of the original point source.

In summary, to find the center of the circle and the observer's location, we need to use the properties of reflection and geometry to locate the point where the two reflections intersect and the point where the angle of incidence is equal to the angle formed by the observer's line of sight.