One half of a convex lens of focal length 10 cm is covered with a black paper. Can such a lens produce an image of a complete object placed at a distance of 30 cm from the lens? Draw a ray diagram to justify your answer.
A 4cm tall object is placed perpendicular to the principal axis of a convex lens of focal length 20 cm. The distance of the object from the lens is 15 cm. Find nature, position and size of the image.
(i) Yes, when one half of a convex lens of focal length 10 cm is covered with a black paper, the image is formed between f2 and 2f2. Since the rays of the object get refracted by upper half and therefore the image formed will be real, inverted and diminished. The ray diagram is as follows:

(ii) Object height, h1 = 4 cm
Focal length, f = +20 cm
Given: Object distance, u= -15 cm
Applying the lens formula 


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To find the height of image, using the formula:



h2= +16 cm
Therefore, the image formed will be virtual, erect and magnified.
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