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According to Table 35.1, the index of refraction of flint glass is 1.66 and the index of refraction of crown glass is 1.52. (i) A film formed by one drop of sassafras oil, on a horizontal surface of a flint glass block, is viewed by reflected light. The film appears brightest at its outer margin, where it is thinnest. A film of the same oil on crown glass appears dark at its outer margin. What can you say about the index of refraction of the oil? (a) It must be less than 1.52. (b) It must be between 1.52 and 1.66. (c) It must be greater than 1.66. (d) None of those statements is necessarily true, (ii) Could a very thin film of some other liquid appear bright by reflected light on both of the glass blocks? (iii) Could it appear dark on both? (iv) Could it appear dark on crown glass and bright on flint glass? Experiments described by-Thomas Young suggested this question.
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Chapter 37 Solutions
EBK PHYSICS FOR SCIENTISTS AND ENGINEER
- The index of refraction for crown glass is 1.512 at a wavelength of 660 nm (red), whereas its index of refraction is 1.530 at a wavelength of 410 nm (violet). If both wavelengths are incident on a slab of crown glass at the same angle of incidence, 60.0, what is the angle of refraction for each wavelength?arrow_forwardLight enters a prism of crown glass and refracts at an angle of 5.00 with respect to the normal at the interface. The crown glass has a mean index of refraction of 1.51. It is combined with one flint glass prism (n = 1.65) to produce no net deviation. a. Find the apex angle of the flint glass. b. Assume the index of refraction for violet light (v = 430 nm) is nv = 1.528 and the index of refraction for red light (r = 768 nm) is nr = 1.511 for crown glass. For flint glass using the same wavelengths, nv = 1.665 and nr = 1.645. Find the net dispersion.arrow_forwardA ray of 610 nm light goes from air into fused quartz at an incident angle of 55.0°. At what incident angle must 470 nm light enter flint glass to have the same angle of refraction?arrow_forward
- In a laboratory accident, you spill two liquids onto water, neither of which mixes with the water. They both form thin films on the water surface. When the films become very thin as they spread, you observe that one fi lm becomes bright and the other dark in reflected light. The film that appears dark (a) has an index of refraction higher than that of water, (b) has an index of refraction lower than that of water, (c) has an index of refraction equal to that of water, or (d) has an index of refraction lower than that of the bright film.arrow_forwardA narrow beam of white light enters a prism made of crown glass at a 45.0° incident angle, as shown in Figure 25.57. At what angles, R and V, do the red (660 nm) and violet (410 nm) components of the light emerge from the prism? Figure 25.57 This prism will disperse the while light into a rainbow of colors. The incident angle is 45.0°, and the angles at which the red and violet light emerge are R and V.arrow_forwardA film of oil on water will appear dark when it is very thin, because the path length difference becomes small compared with the wavelength of light and there is a phase shift at the top surface. If it becomes dark when the path length difference is less than one-fourth the wavelength, what is the thickest the oil can be and appear dark at all visible wavelengths? Oil has an index of refraction of 1.40.arrow_forward
- (4. Find the critical angle for lotal Internal on the surface Reflection of the light incident between the air and the diamond at point P a.) sindc = sin-i иг ni (sind) = 1.00 2.419) sint 0₁ = 24.4⁰° nz n₁ point = 1.333 2.419 n, sind, = n₂ sin da 35° 0 b.) If the diamond is totally immersed IN H₂0, find the Critical angle at the Diamond - Water interface. sin' (sinds)= ( sin 33° (2.419) sin(+6)= (1.33) sin O₂ sint (sin od= air 12.419 (sin (1160) 1.33 (1²60)) s.nl airnz 1.000 Diamond (n) = 2.6419 water = 1.333 ·Diamond A Oc= 33.4° C.) assuming the light ray remains perpendiular on entering the diamond, at what angle would the Light begin to emerge at point & if the diamond is rotated about point (Ⓒ of retraction) use Snell! diamond in the water (33.39⁰) 25°-33.4: 1.6° Todran > 33.4 Ог if & were a bit less 1 than 33.4 Like 33.3 -187.07° 2 the the Or in water w would be 85.07 or even 33.39 would give Or of 87.07 + 0,= $ 12,9° / + 2arrow_forwardb) A certain glass has a =10m. Light passing through a flat slab at normal incidence is decreased in intensity by 5%. What is the thickness of the slab?arrow_forwardThis question is about refraction and total internal reflection. (a) Light travels from one optical medium to another. State the conditions necessary for total internal reflection to occur at the boundary between the two media. (b) Light is incident on a small scratch in the surface of an optical fibre of refractive index 1.5. The angle between a ray of incident light and the surface of the scratch is 68 as shown below. 68 optic fibre refractive index 1.5 (i) Calculate the angle of refraction of the ray at the surface of the scratch.arrow_forward
- 24. A light beam containing red and violet wavelengths is inci- dent on a slab of quartz at an angle of incidence of 50.0°. The index of refraction of quartz is 1.455 at 600 nm (red light), and its index of refraction is 1.468 at 410 nm (vio- let light). Find the dispersion of the slab, which is defined as the difference in the angles of refraction for the two wavelengths. Find 8 and 0 3. 4.arrow_forwardQ. 1. (i) Monochromatic light of wavelength 589 nm is incident from air on a water surface. If u for water is 1.33, find the wavelength, frequency and speed of the refracted light. (ii) A double convex lens is made of a glass of refractive index 1.55, with both faces of the same radius of curvature. Find the radius of curvature required, if the focal length is 20 cm.arrow_forwardIn an oil-air boundary, the critical angle is 440, the index of refraction of the boundary is O 1.25 O 0.69 O 1.4 O 4.0 O 1.0arrow_forward
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