Your physics study partner is nearsighted. She has a near point of 50.0 cm from her eyes and she wears eyeglasses designed to allow her to read a newspaper held at a distance of 28.5 cm from her eyes. Determine the focal length of her glasses for each of the following cases. (a) She wears her eyeglasses 1.80 cm from her eyes. cm (b) She wears her eyeglasses 2.80 cm from her eyes. cm
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- In order to heighten your enjoyment of your 29 carat blue diamond, you view it through a lens held close to your right eye at an angular magnification of 5.1. The distance of your right eye's near point is 25 cm. What is the focal length f of the lens in centimeters? f = ?cmUse the worked example above to help you solve this problem. The near point of a patients eye is 50.0 cm. (a) What focal length must a corrective lens have to enable the eye to see clearly an object 29.9 cm away? Neglect the eye-lens distance. 69.0 x cm (b) What is the power of this lens? +1.45 X diopters (c) Repeat part (b), taking into account the fact that, for typical eyeglasses, the corrective lens is 2.00 cm in front of the eye. +2.21 X dioptersThe owner of a van installs a rear-window lens that has a focal length of -0.310 m. When the owner looks out through the lens at an object located directly behind the van, the object appears to be 0.250 m from the back of the van, and appears to be 0.330 m tall. (a) How far from the van is the object actually located, and (b) how tall is the object? Rear-window lens (a) Number i (b) Number i Units Units Person Image of person
- What is the focal length of the lens in your eye when you can focus on an object at your near point? Assume that the distance from your lens to the back of your eye is 2.0 cm, that your near point is 21 cm in front of your lens, and that the liquid behind the lens has n=1.00 just like the air in front of your lens. (a) 1.8 cm (b) 18 cm (c) 2.1 cm (d) 21 cm (e) None of the above.A patient cannot clearly see any object that lies closer than 32.0 cm to her right eye. However, the patient wishes to see objects as close as 20.0 cm with that eye. The patient requests eyeglasses to address the problem. (a) Is the patient nearsighted or farsighted? nearsightedfarsighted (b) If the eyeglass lens lies 2.10 cm in front of the patient's eye, what is the minimum distance p (in cm) separating the lens from an object she wants to see? (Give your answer to at least three significant digits.) cm (c) The patient is unable to focus clearly on anything closer than 32.0 cm to her eye (this being the patient's near point). The image formed by the eyeglass lens must therefore be 32.0 cm from the eye. How far, then, (in cm) would the image lie from the lens? (Give your answer to at least three significant digits.) cm (d) The image lies on the same side of the lens as the original object. Is the image real or virtual, and is its position q positive or…The distance between the eyepiece and the objective lens in a certain compound microscope is 10.4 cm. The focal length of the objective is 0.430 cm, and that of the eyepiece is 1.40 cm. Find the overall magnification of the microscope. (The near point of the eye is 25 cm. Assume that the object is placed at the focal point of the objective lens, and one places the eyepiece at the near point of the eye.)
- 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 nearsighted person has a far point of 25.3cm and is prescribed contact lenses to correct her vision. What lens strength (a.k.a., lens power), in Diopters, should be prescribed? Give your answer using the usual convention of positive values for converging lenses and negative values for diverging lenses.