A person with a myopic eye cannot see objects beyond a distance of 1.5 m. What would be the power of the corrective lens used to restore proper vision

Two lenses are placed along an optical rail. One is a converging lens, with a focal length of f1 = 30.3 cm. The second lens, a diverging lens with a focal length of f2 = −20.0 cm, is placed d = 110 cm to the right of the converging lens. An object ho = 2.02 cm high is placed p1 = 40.5 cm to the left of the converging lens. (a) Determine the position of the final image. (Enter the position in cm relative to the diverging lens.) magnitude  ? cm direction  right or left?   of the diverging lens   (b) Determine the magnification of the final image. (Indicate the orientation with the sign of your answer.)  Hint* The total magnification is the product of each individual magnification. (c) Is the image upright or inverted?    (d) Repeat parts (a) through (c) for the case in which the second lens is a converging lens having a focal length of 20.0 cm. (Enter the position in cm relative to the second lens. Indicate the orientation of the magnification with the sign of your…

Bailey has a eyeglasses with a prescription of -4.00−4.00D. While wearing these glasses so that the lenses sit 2.002.00 cm in front of the eyes, Bailey can see distant object clearly with fully relaxed eyes. a) What is the far point for Bailey's uncorrected vision? b)If Bailey wants to switch to wearing contact lenses placed directly on the eye, what contact lens power should be prescribed? Give your answer in diopters, using the correct positive or negative sign.

Problem 103. A) How do the lenses in glasses designed to correct nearsighted eyes with no astigmatism differ from the lenses designed to correct nearsighted eyes with astigmatism? B) Why can reshaping the cornea with a laser correct the far vision of a nearsighted person?

A composite equipment uses an objective lens with a focal length of (cm 4) and an eyepiece lens with a focal length of (10 cm). If an object is placed at a distance of 6 cm from the objective lens. Calculate the magnifying power of the microscope.

If you are nearsighted, the lenses that correct your vision are diverging lenses. It’s possible to estimate the focal length of the lens, which correlates with your prescription, by noting the magnification. Jordan holds one lens of her glasses above a coin on the table and estimates a magnification of m = 2/3. She measures the distance from her lens to the coin to be 24 cm. What is the focal length of the lens?

A laser beam of diameter d₁-1.1 mm is directed along the optical axis of a thin lens of focal length +4.7 cm (see figure below). (a) How far from the lens will the beam be focused? (b) A second positive lens is placed to the right of the first. Light emerges from the second lens in a parallel beam of diameter dy 3.6 mm. Thus the combination of lenses acts as a beam expander. Find the focal length of the second lens. Find the distance between the lenses.

An inquiring student makes a refracting telescope by placing an objective lens and an eyepiece at opposite ends of a 48.0 cm long tube. If the eyepiece has a focal length of 1.60 cm, calculate the required focal length in cm of the objective lens and the angular magnification of the telescope. HINT (a) the required focal length in cm of the objective lens  cm (b) the angular magnification of the telescope