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Find the focal length of contact lenses that would allow a nearsighted person with a 145 cm far point to focus on the stars at night.

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Answer :

The focal length of contact lenses that would allow a nearsighted person with a 145 cm far point to focus on the stars at night would be 217.2 cm.

What is focal length?

An optical system's focal length, which is the inverse of the system's optical power, indicates how strongly the system converges or diverges light. A system with a positive focal length is said to converge light, and one with a negative focal length is said to diverge light. The focal length of the lens, which is often expressed in millimetres, is the distance between the lens and the image sensor when the subject is in focus (e.g., 28 mm, 50 mm, or 100 mm). The minimum and maximum focal lengths of zoom lenses are specified, for instance, 18-55 mm.

Hence, far point of focus = 145

f = -r_2

f = 145+145/2

f = 217.2

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