An object is placed at a distance of 20 cm from a convex lens of focal length 10 cm. The image is formed on the other side of the lens at a distance20 cm10 cm40 cm30 cm
Question
An object is placed at a distance of 20 cm from a convex lens of focal length 10 cm. The image is formed on the other side of the lens at a distance20 cm10 cm40 cm30 cm
Solution
The image distance can be found using the lens formula, which is 1/f = 1/v - 1/u.
Here, f (focal length) = 10 cm (convex lens, so it's positive) u (object distance) = -20 cm (object is on the same side as light, so it's negative)
Substituting these values into the lens formula:
1/10 = 1/v - (-1/20) 1/10 = 1/v + 1/20 1/10 - 1/20 = 1/v (2 - 1) / 20 = 1/v 1/20 = 1/v
So, v = 20 cm.
Therefore, the image is formed on the other side of the lens at a distance of 20 cm.
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