Sometimes a person cannot clearly see objects close up or far away. To correct t

Question

Sometimes a person cannot clearly see objects close up or far away. To correct this type of vision, bifocals are often used. The top half of the lens is used to view distant objects and the bottom half of the lens is used to view objects close to the eye. A person can clearly see objects only if they are located between 35 cm and 184 cm away from his eyes. Bifocal lenses are used to correct his vision. What power lens (in diopters) should be used in the bottom half of the lens to allow him to clearly see objects 25 cm away?

Explanation / Answer

object distance, p = 25 cm

image distance, q = 35 cm

using lens equation, 1/f = 1/p + 1/q

1/f = 1/25 + 1/35

f = 14.6 cm = 0.146 m

P = 1/f = 6.86 D .......Ans

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