The focal length of a convex lens is 20m diminished image is formed when the we keep the object at

A convex lens of a focal length of 20 cm can produce a magnified virtual as well as a real image. Is this a correct statement? If yes, where shall the object be placed in each case for obtaining these images?

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An object is placed 20 cm away from a convex lens. If an image is formed 50 cm from the lens, what is the focal length of the lens.

Text Solution

Solution : When the image formed by a convex lens, inverted and same size as the object, then the distance of the object from the lens is 2f (twice the focal length). Here, <br> Focal length, f=20 cm <br> So, `2f= 2 xx 20` cm <br> =40 cm <br> Thus, the object should be placed at a distance of 40 cm in front of the convex lens. (Please draw the ray diagram yourself).