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A figure divided into squares, each of s...

A figure divided into squares, each of size `"1 mm"^(2)`, is being viewed at a distance of 9 cm through a magnifying lens of focal length 10 cm, held close to the eye.
(i) Draw a ray diagram showing the formation of the image.
(ii) What is the magnification produced by the lens? How much is the area of each square in the virtual image?
(iii) What is the angular magnification of the lens?

Text Solution

AI Generated Solution

To solve the problem step by step, we will address each part of the question systematically. ### Step 1: Draw the Ray Diagram 1. **Draw the Lens**: Start by drawing a vertical line to represent the lens. Mark the optical axis (horizontal line) through the center of the lens. 2. **Mark the Focal Points**: Since the focal length (F) is 10 cm, mark points on both sides of the lens at 10 cm from the center to represent the focal points (F). 3. **Object Position**: The object is at a distance of 9 cm from the lens (U = -9 cm, as per the sign convention). Mark this position on the left side of the lens. 4. **Draw Rays**: - **Ray 1**: Draw a ray parallel to the optical axis from the object. After passing through the lens, it will refract and pass through the focal point on the opposite side. ...
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