How many images are formed for a point object kept in between the two plane mirrors at right angles to each other? Show them by drawing a ray diagram.
Question
How many images are formed for a point object kept in between the two plane mirrors at right angles to each other?
Show them by drawing a ray diagram.
Solution
To determine the number of images formed for a point object placed between two plane mirrors at right angles to each other, we can follow these steps:
Step 1: Draw the two plane mirrors perpendicular to each other. Label them as Mirror 1 and Mirror 2.
Step 2: Place the point object between the two mirrors. Label it as O.
Step 3: Draw a ray from point O towards Mirror 1. This ray will reflect off Mirror 1 according to the law of reflection, forming a reflected ray labeled as R1.
Step 4: Draw a ray from point O towards Mirror 2. This ray will reflect off Mirror 2 according to the law of reflection, forming a reflected ray labeled as R2.
Step 5: Extend the reflected rays R1 and R2 behind the mirrors. These extended rays will intersect at a point labeled as I1.
Step 6: Draw a ray from point O towards Mirror 2, but this time, let it reflect off Mirror 2 and then reflect off Mirror 1. This ray will form a reflected ray labeled as R3.
Step 7: Extend the reflected ray R3 behind the mirrors. This extended ray will intersect with the extended ray R1 at a point labeled as I2.
Step 8: The points I1 and I2 represent the positions of the images formed by the two mirrors. In this case, two images are formed for the point object placed between the two plane mirrors at right angles to each other.
By following these steps and drawing the ray diagram, you can visually see the formation of the images.
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