College Physics
OER 2016 Edition
ISBN: 9781947172173
Author: OpenStax
Publisher: OpenStax College
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Chapter 25, Problem 16TP
To determine
The materials required to experimentally determine the focal length of a lens and the procedure to be followed.
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A contact lens is made of plastic with an index of refraction of 1.45. The lens has an outer radius of curvature of +2.02 cm
and an inner radius of curvature of +2.52 cm. What is the focal length of the lens?
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calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. cm
A contact lens is made of plastic with an index of refraction of 1.38. The lens has
1.923
Check the sign conventions used in the lens-makers' equation. cm
outer radius of curvature of +2.03 cm and an inner radius of curvature of +2.55 cm. What is the focal length of the lens?
An optician is designing a contact lens. The material has is an index of refraction of 1.45. In order to yield the prescribed focal length, the optician specifies the following dimensions:
inner radius of curvature = +2.60 cm
outer radius of curvature = +1.98 cm
where the inner radius of curvature describes the surface that touches the eye, and the outer radius of curvature describes the surface that first interacts with incoming light.
What is the focal length of this contact lens (in cm)?
Chapter 25 Solutions
College Physics
Ch. 25 - Using the law of reflection, explain how powder...Ch. 25 - Diffusion by reflection from a rough surface is...Ch. 25 - Why is the index of refraction always greater than...Ch. 25 - Does the fact that the light flash from lightning...Ch. 25 - Will light change direction toward or away from...Ch. 25 - Explain why an object in water always appears to...Ch. 25 - Explain why a person’s legs appeal very short when...Ch. 25 - Prob. 8CQCh. 25 - Suppose light were incident from air onto a...Ch. 25 - A ring with a colorless gemstone is dropped into...
Ch. 25 - A high-quality diamond may be quite clear and...Ch. 25 - Prob. 12CQCh. 25 - The most common type at mirage is an illusion that...Ch. 25 - It can he argued that a flat piece of glass, such...Ch. 25 - You can often see a reflection when looking at a...Ch. 25 - When you focus a camera, you adjust the distance...Ch. 25 - A thin lens has two focal points, one on either...Ch. 25 - Will the focal length of a lens change when it is...Ch. 25 - What are the differences between teal and virtual...Ch. 25 - Can you see a virtual image? Can you photograph...Ch. 25 - Is it necessary to project a real image onto a...Ch. 25 - At what distance is an image always locatedat do,...Ch. 25 - Under what circumstances will an image be located...Ch. 25 - What is meant by a negative magnification? What is...Ch. 25 - Can a case 1 image be larger than the object even...Ch. 25 - Prob. 26CQCh. 25 - Devise an arrangement of mirrors allowing you to...Ch. 25 - If you wish to see your entire body in a flat...Ch. 25 - It can be argued than a flat mirror has an in?nite...Ch. 25 - Why are diverging mirrors often used for rear-view...Ch. 25 - Prob. 1PECh. 25 - Prob. 2PECh. 25 - Light shows staged with lasers use moving mirrors...Ch. 25 - Prob. 4PECh. 25 - What is the speed of light in water? In glycerine?Ch. 25 - What is the speed of light in air? In crown glass?Ch. 25 - Calculate the index of refraction for a medium in...Ch. 25 - In what substance in Table 25.1 is the speed of...Ch. 25 - There was a major collision of an asteroid with...Ch. 25 - Prob. 10PECh. 25 - Components of some computers communicate with each...Ch. 25 - Prob. 12PECh. 25 - Suppose you have an unknown clear substance...Ch. 25 - On the Moon’s surface, lunar astronauts placed a...Ch. 25 - Prob. 15PECh. 25 - Prob. 16PECh. 25 - Unreasonable Results Suppose light travels from...Ch. 25 - Construct Your Own Problem Consider sunlight...Ch. 25 - Unreasonable Results Light traveling from water to...Ch. 25 - Verify that the critical angle for light going...Ch. 25 - (a) At the end of Example 25.4, it was stated that...Ch. 25 - An optical fiber uses flint glass clad with crown...Ch. 25 - At what minimum angle will you get total internal...Ch. 25 - Suppose you are using total internal reflection to...Ch. 25 - You can determine me index of refraction of a...Ch. 25 - Prob. 26PECh. 25 - Prob. 27PECh. 25 - (a) What is me ratio of the speed of red light to...Ch. 25 - A beam of white light goes from air into water at...Ch. 25 - By how much do the critical angles for red (660...Ch. 25 - (a) A narrow beam of light containing yellow (580...Ch. 25 - A parallel beam of light containing orange (610...Ch. 25 - A ray of 610 nm light goes from air into fused...Ch. 25 - A narrow beam of light containing red (660 nm) and...Ch. 25 - Prob. 35PECh. 25 - What is the power in diopters at a camera lens...Ch. 25 - Your camera's zoom lens has an adjustable focal...Ch. 25 - What is the focal length of 1.75 D reading glasses...Ch. 25 - You note that your prescription for new eyeglasses...Ch. 25 - How far from the lens must the film in a camera...Ch. 25 - A certain slide projector has a 100 mm focal...Ch. 25 - A doctor examines a mole with a 15.0 cm focal...Ch. 25 - How far from a piece of paper must you hold your...Ch. 25 - A camera with a 50.0 mm focal length lens is being...Ch. 25 - A camera lens used for taking close-up photographs...Ch. 25 - Suppose your 50.00 mm local length camera lens is...Ch. 25 - (a) What is the focal length of a magnifying glass...Ch. 25 - What magnification will be produced by a lens of...Ch. 25 - In Example 25.7, the magnification of a book held...Ch. 25 - Suppose a 200 mm focal length telephoto lens is...Ch. 25 - A camera with a 100 mm focal length lens is used...Ch. 25 - Combine thin lens equations to show that the...Ch. 25 - What is the focal length of a makeup mirror that...Ch. 25 - Some telephoto cameras use a mirror rather than a...Ch. 25 - (a) Calculate the focal length of the mirror...Ch. 25 - Find the magnification of the heater element in...Ch. 25 - What is the focal length of a makeup mirror that...Ch. 25 - A shopper standing 3.00 m from a convex security...Ch. 25 - An object 1.50 cm high is held 3.00 cm from a...Ch. 25 - Ray tracing for a flat mirror shows that the image...Ch. 25 - Show that for a flat mirror hi= ho, knowing that...Ch. 25 - Use the law of reflection to prove that the focal...Ch. 25 - Referring to the electric room heater considered...Ch. 25 - Consider a 250-W heat lamp fixed to the ceiling in...Ch. 25 - Prob. 1TPCh. 25 - Prob. 2TPCh. 25 - Prob. 3TPCh. 25 - Prob. 4TPCh. 25 - Prob. 5TPCh. 25 - Prob. 6TPCh. 25 - Prob. 7TPCh. 25 - Prob. 8TPCh. 25 - Prob. 9TPCh. 25 - Prob. 10TPCh. 25 - Prob. 11TPCh. 25 - Prob. 12TPCh. 25 - Prob. 13TPCh. 25 - Prob. 14TPCh. 25 - Prob. 15TPCh. 25 - Prob. 16TPCh. 25 - Prob. 17TPCh. 25 - Prob. 18TPCh. 25 - Prob. 19TPCh. 25 - Prob. 20TP
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- A converging lens made of crown glass has a focal length of 15.0 cm when used in air. If the lens is immersed in water, what is its focal length? (a) negative (b) less than 15.0 cm (c) equal to 15.0 cm (d) greater than 15.0 cm (e) none of those answersarrow_forwardThe left face of a biconvex lens has a radius of curvature of magnitude 12.0 cm, and the right face has a radius of curvature of magnitude 18.0 cm. The index of refraction of the glass is 1.44. (a) Calculate the focal length of the lens for light incident from the left. (b) What If? After the lens is turned around to interchange the radii of curvature of the two faces, calculate the focal length of the lens for light incident from the left.arrow_forwardAn optician is designing a contact lens. The material has is an index of refraction of 1.35. In order to yield the prescribed focal length, the optician specifies the following dimensions: inner radius of curvature = +2.60 cm outer radius of curvature = +2.06 cm where the inner radius of curvature describes the surface that touches the eye, and the outer radius of curvature describes the surface that first interacts with incoming light. What is the focal length of this contact lens (in cm)? answer in cmarrow_forward
- A contact lens is made of plastic with an index of refraction of 1.60. The lens has an outer radius of curvature of +1.96 cm and an inner radius of curvature of +2.48 cm. What is the focal length of the lens?arrow_forwardConsider two thin lenses with focal lengths f1 = 10.0 cm and f2 = −15.0 cm. The lenses are placed in contact. Calculate the equivalent focal length of the lenses. What is the image distance of an object placed 20.0 cm from the lenses? Draw a diagram of the optical system and label the relevant quantitiesarrow_forwardOne side of a lens is convex with radius of curvature 30 cm. The other side is concave with radius of curvature 50 cm. The index of refraction of the lens is 1.6. What is the focal length of the lens? Group of answer choices 130 cm, converging 130 cm, diverging 31 cm, converging 31 cm, divergingarrow_forward
- A convex mirror of focal length f = -10 cm has an object placed 5 cm from it. Draw a ray diagram of the system and measure the position of the image. Calculate the magnification. Use the lens equation to calculate the position of the image. Describe the image properties.arrow_forwardA contact lens is made of plastic with an index of refraction of 1.40. The lens has an outer radius of curvature of +1.92 cm and an inner radius of curvature of +2.47 cm. What is the focal length of the lens? cmarrow_forwardA double-convex thin lens is made of glass with an index of refraction of 1.55. The radii of curvature of the faces of the lens are 57 cm and 75 cm. What is the focal length of the lens? Give the answer in cm to one decimal place please.arrow_forward
- Chapter 34, Problem 041 A lens is made of a transparent material having an index of refraction of 1.70. One side of the lens is flat, and the other convex with a radius of curvature of 27.0 cm. (a) Find the focal length of the lens. (b) If an object is placed 51.0 cm in front of the lens, where will the image be located? (a) Number Units (b) Number Unitsarrow_forwardYou are designing a symmetric double convex lens that is made of glass with index of refraction equal to 1.33 and has a focal length of +0.711 m. What curvature radius of the lens surface should you use (in m; answer a positive number)?arrow_forwardAn object is placed to the left of a lens, and a real image is formed to the right of the lens. The image is inverted relative to the object and is one-half the size of the object. The distance between the object and the image is 90 cm.Find a) how far from the lens the object is and b) the focal length of the lens. Should a diverging or converging lens be used to create the image? Explain.Note: Don't forget to draw an accurate ray diagram to verify that all the given and computed values for the object and image distances and heights and the focal lengths are correct.arrow_forward
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