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Question : 9
Total: 9
A convex lens of focal length 20 cm is placed coaxially with a concave mirror of focal length 10 cm at a distance of 50 apart from each other. A beam of light coming parallel to the principal axis is incident on the convex lens. Find the position of the final image formed by this combination. Draw the ray diagram showing the formation of the image.
Solution:
The beem incident on lens L is parallel to principal axis. Hence, the lens forms an image I 1 at its focus, i.e., at a distanec O I 1 = 20 cm from the lens.
The imageI 1 is formed in front of mirror and hence, acts as a real source for the mirror. The concave mirror forms the image I 2 , whose distance from the mirror can be calculated as,
+
=
Here:u = − 30 cm , and f = − 10 cm
⇒
=
−
⇒
= −
+
⇒
=
= −
⇒ v = − 15 cm
Hence, the final image is formed at a distance of15 cm from the concave mirror, as shown in the following figure.
The image
Here:
Hence, the final image is formed at a distance of
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