Question

11. White light contains all wavelengths from deep blue at 400 nm to deep red at 700 nm. A narrow beam of collimated white light is sent through a prism of apex angle 20° as shown. The prism is made of light flint glass whose refractive index at 400 nm is 1.60 and at 700 nm is 1.565. What is the angular spread between red and blue light at the minimum angle of deviation for each? 12. An isosceles prism made of zircon with equal base angles of 75° produces an angle of minimum deviation of 30° when a laser beam is passed through it. a) What is the index of refraction of this material? b) How does your value compare with that given in Table 4-1? 13. A laser beam is sent through an equilateral prism and the minimum deviation angle measured in air is 57.6°. a) Determine the index of refraction of the prism? b) Use the index calculated in step a) to determine the angle of minimum deviation if the prism is submerged in acetone (1.36). 14. An object 3 cm high is placed 200 mm to the left of a) a convex and b) a concave spherical mirror, each of focal length 10 cm. Determine the position and nature of the image for each mirror. 15. A CV has a radius of 48 cm. a) What is its focal length? b) Where is the image of an object (15 mm high and erect) placed 60 cm in front of the CV found? c) Is it real or virtual? Is it larger or smaller than the object? d) Draw a ray-trace diagram to locate the position and size. e) Where does the object needs to be placed in order for the image to match its size? Provide backup calculations to support your answer. 16. A driver sees a virtual image of a trailing motorcycle in the slightly convex, spherical rear-view mirror on the passenger side. The reduce virtual image see by the driver "appears" to be about 20 m behind. a) What is the actual distance of the motorcycle from the mirror if the radius of the curvature of the mirror is 100 mm? b) How does the size of the motorcycle seen in the mirror compare with its actual size? 17. A plano-convex lens of focal length 25.0 cm is to be made with crown glass of refractive index 1.52. Calculate the radius of curvature of the grinding and polishing tools to be used in making this lens. 18. Two DCX lenses have a matching diameter of 1". The first lens has a focal length of 50 mm and the second lens has a focal length of 28 cm. a) Determine the relative aperture for each lens? b) What does the relative aperture tells you about each lens (in relation to depth of field)? c) Determine the irradiance transmitted through each lens if the incident irradiance is 5 W/m²? 19. A thin, double-convex lens has a refractive index of 1.50. The radius of curvature of the front surface is 15 cm and that of the rear surface is 10 cm. See sketch. a) How far from the lens would an image of the sun be formed? b) How far from the lens would an image of a toy figure 24 cm from the lens be formed? c) How do the answers to a) and b) change if you flip the lens over?

11. White light contains all wavelengths from deep blue at 400 nm to deep red at 700 nm. A narrow beam of collimated white light is sent through a prism of apex angle 20° as shown. The prism is made of light flint glass whose refractive index at 400 nm is 1.60 and at 700 nm is 1.565. What is the angular spread between red and blue light at the minimum angle of deviation for each?

12. An isosceles prism made of zircon with equal base angles of 75° produces an angle of minimum deviation of 30° when a laser beam is passed through it. a) What is the index of refraction of this material? b) How does your value compare with that given in Table 4-1?

13. A laser beam is sent through an equilateral prism and the minimum deviation angle measured in air is 57.6°. a) Determine the index of refraction of the prism? b) Use the index calculated in step a) to determine the angle of minimum deviation if the prism is submerged in acetone (1.36).

14. An object 3 cm high is placed 200 mm to the left of a) a convex and b) a concave spherical mirror, each of focal length 10 cm. Determine the position and nature of the image for each mirror.

15. A CV has a radius of 48 cm. a) What is its focal length? b) Where is the image of an object (15 mm high and erect) placed 60 cm in front of the CV found? c) Is it real or virtual? Is it larger or smaller than the object? d) Draw a ray-trace diagram to locate the position and size. e) Where does the object needs to be placed in order for the image to match its size? Provide backup calculations to support your answer.

16. A driver sees a virtual image of a trailing motorcycle in the slightly convex, spherical rear-view mirror on the passenger side. The reduce virtual image see by the driver "appears" to be about 20 m behind. a) What is the actual distance of the motorcycle from the mirror if the radius of the curvature of the mirror is 100 mm? b) How does the size of the motorcycle seen in the mirror compare with its actual size?

17. A plano-convex lens of focal length 25.0 cm is to be made with crown glass of refractive index 1.52. Calculate the radius of curvature of the grinding and polishing tools to be used in making this lens.

18. Two DCX lenses have a matching diameter of 1". The first lens has a focal length of 50 mm and the second lens has a focal length of 28 cm. a) Determine the relative aperture for each lens? b) What does the relative aperture tells you about each lens (in relation to depth of field)? c) Determine the irradiance transmitted through each lens if the incident irradiance is 5 W/m²?

19. A thin, double-convex lens has a refractive index of 1.50. The radius of curvature of the front surface is 15 cm and that of the rear surface is 10 cm. See sketch. a) How far from the lens would an image of the sun be formed? b) How far from the lens would an image of a toy figure 24 cm from the lens be formed? c) How do the answers to a) and b) change if you flip the lens over?

$11. White light contains all wavelengths from deep blue at 400 nm to deep red at 700 nm. A narrow beam of collimated white light is sent through a prism of apex angle 20° as shown. The prism is made of light flint glass whose refractive index at 400 nm is 1.60 and at 700 nm is 1.565. What is the angular spread between red and blue light at the minimum angle of deviation for each? 12. An isosceles prism made of zircon with equal base angles of 75° produces an angle of minimum deviation of 30° when a laser beam is passed through it. a) What is the index of refraction of this material? b) How does your value compare with that given in Table 4-1? 13. A laser beam is sent through an equilateral prism and the minimum deviation angle measured in air is 57.6°. a) Determine the index of refraction of the prism? b) Use the index calculated in step a) to determine the angle of minimum deviation if the prism is submerged in acetone (1.36). 14. An object 3 cm high is placed 200 mm to the left of a) a convex and b) a concave spherical mirror, each of focal length 10 cm. Determine the position and nature of the image for each mirror. 15. A CV has a radius of 48 cm. a) What is its focal length? b) Where is the image of an object (15 mm high and erect) placed 60 cm in front of the CV found? c) Is it real or virtual? Is it larger or smaller than the object? d) Draw a ray-trace diagram to locate the position and size. e) Where does the object needs to be placed in order for the image to match its size? Provide backup calculations to support your answer. 16. A driver sees a virtual image of a trailing motorcycle in the slightly convex, spherical rear-view mirror on the passenger side. The reduce virtual image see by the driver "appears" to be about 20 m behind. a) What is the actual distance of the motorcycle from the mirror if the radius of the curvature of the mirror is 100 mm? b) How does the size of the motorcycle seen in the mirror compare with its actual size? 17. A plano-convex lens of focal length 25.0 cm is to be made with crown glass of refractive index 1.52. Calculate the radius of curvature of the grinding and polishing tools to be used in making this lens. 18. Two DCX lenses have a matching diameter of 1". The first lens has a focal length of 50 mm and the second lens has a focal length of 28 cm. a) Determine the relative aperture for each lens? b) What does the relative aperture tells you about each lens (in relation to depth of field)? c) Determine the irradiance transmitted through each lens if the incident irradiance is 5 W/m²? 19. A thin, double-convex lens has a refractive index of 1.50. The radius of curvature of the front surface is 15 cm and that of the rear surface is 10 cm. See sketch. a) How far from the lens would an image of the sun be formed? b) How far from the lens would an image of a toy figure 24 cm from the lens be formed? c) How do the answers to a) and b) change if you flip the lens over?$

Added by Mireia V.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Umar Sohail Qureshi

10/26/2021

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### Part 1: Angular Spread Between Red and Blue Light Through a Prism ** Show more…

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White light contains all wavelengths from deep blue at 400 nm to deep red at 700 nm. A narrow beam of collimated white light is sent through a prism of apex angle 20° as shown. The prism is made of light flint glass whose refractive index at 400 nm is 1.60 and at 700 nm is 1.565. What is the angular spread between red and blue light at the minimum angle of deviation for each? 12. An isosceles prism made of zircon with equal base angles of 75° produces an angle of minimum deviation of 30° when a laser beam is passed through it. a) What is the index of refraction of this material? b) How does your value compare with that given in Table 4-1? 13. A laser beam is sent through an equilateral prism and the minimum deviation angle measured in air is 57.6°. a) Determine the index of refraction of the prism? b) Use the index calculated in step a) to determine the angle of minimum deviation if the prism is submerged in acetone (1.36). 14. An object 3 cm high is placed 200 mm to the left of a) a convex and b) a concave spherical mirror, each of focal length 10 cm. Determine the position and nature of the image for each mirror. 15. A CV has a radius of 48 cm. a) What is its focal length? b) Where is the image of an object (15 mm high and erect) placed 60 cm in front of the CV found? c) Is it real or virtual? Is it larger or smaller than the object? d) Draw a ray-trace diagram to locate the position and size. e) Where does the object needs to be placed in order for the image to match its size? Provide backup calculations to support your answer. 16. A driver sees a virtual image of a trailing motorcycle in the slightly convex, spherical rear-view mirror on the passenger side. The reduce virtual image see by the driver "appears" to be about 20 m behind. a) What is the actual distance of the motorcycle from the mirror if the radius of the curvature of the mirror is 100 mm? b) How does the size of the motorcycle seen in the mirror compare with its actual size? 17. A plano-convex lens of focal length 25.0 cm is to be made with crown glass of refractive index 1.52. Calculate the radius of curvature of the grinding and polishing tools to be used in making this lens. 18. Two DCX lenses have a matching diameter of 1". The first lens has a focal length of 50 mm and the second lens has a focal length of 28 cm. a) Determine the relative aperture for each lens? b) What does the relative aperture tells you about each lens (in relation to depth of field)? c) Determine the irradiance transmitted through each lens if the incident irradiance is 5 W/m²? 19. A thin, double-convex lens has a refractive index of 1.50. The radius of curvature of the front surface is 15 cm and that of the rear surface is 10 cm. See sketch. a) How far from the lens would an image of the sun be formed? b) How far from the lens would an image of a toy figure 24 cm from the lens be formed? c) How do the answers to a) and b) change if you flip the lens over?