A point light source is kept in front of a convex mirror at a distance of 40cm.find the position of image by drawing
To find the position of the image formed by a convex mirror, you can use the ray diagram method. Here's how to do it step by step:
Step 1: Draw a straight line perpendicular to the center of the mirror. This line is called the principal axis.
Step 2: Mark the position of the point light source on the principal axis. In this case, the light source is located 40cm in front of the mirror.
Step 3: Draw a ray from the top of the object (point light source) parallel to the principal axis. When this ray hits the mirror, it will reflect off in a specific way.
Step 4: For a convex mirror, the reflected ray will appear to come from a point behind the mirror called the virtual focus. To find the virtual focus, you can simply draw a dotted line from the top of the object, passing through the focal point, which is located halfway between the mirror and the center of curvature.
Step 5: Draw a ray from the top of the object heading towards the center of curvature, which is located on the principal axis. When this ray hits the mirror, it will reflect off in a specific way.
Step 6: Finally, draw a line connecting the point where the two reflected rays intersect. This line represents the path of the reflected rays and shows where the image is formed.
Step 7: Measure the distance between the mirror and the point where the two rays intersect. This will give you the position of the image relative to the mirror.
Note: Since the image formed by a convex mirror is always virtual, upright, and smaller than the object, the image will be located on the same side as the object (left side in this case) and will be closer to the mirror.
By following these steps and drawing the ray diagram, you will be able to determine the position of the image formed by the convex mirror.