Verified Solution Science The Human Eye and the Colourful World

A person needs a concave lens of power -4.5 D for correcting his distant vision. Calculate the focal length of the corrective lens and the distance of his far point.

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Answer

Given Power (P) = -4.5 D. Focal length (f) = 1/P = 1/(-4.5) m ≈ -0.2222 m or -22.22 cm. Since the lens is for correcting distant vision (u = -infinity), the image formed by the lens must be at the person's far point. Using 1/f = 1/v - 1/u, we have 1/(-22.22) = 1/v - 1/(-infinity). So, 1/v = -1/22.22, which means v = -22.22 cm. Therefore, the distance of his far point is 22.22 cm from the eye.

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