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9 26 M05/4/PHYSI/HP3/ENG/TZ2/XX+ Option H Optics H1. This question is about refraction and critical angle. The diagram below shows a stick that is partially immersed in water. observer stick water surface P (a) On the diagram above, (i) draw rays to locate the position of the image of the end P of the stick. (ii) draw the apparent shape of the stick as seen by the observer. [1] (b) On the diagram below, draw the path of a ray of light that comes from end P of the stick and is incident on the water surface at the critical angle. On your diagram, label with a letter C, the critical angle for this ray of light. stick water surface P (This question continues on the following page)
10 27 M05/4/PHYSI/HP3/ENG/TZ2/XX+ (Question H1 continued) (c) A fish is swimming at a depth of 2.0 m below the water surface. Determine the radius of the circular field of view that the fish has of the world above the water surface. (Refractive index of water = 1.3) [4] Turn over
11 27 N05/4/PHYSI/HP3/ENG/TZ0/XX+ H2. This question is about refractive index. An observer looks vertically downward on to a small object. A rectangular glass block is placed on the object, as shown below. observer glass block 8.0 cm object (a) On the diagram, draw two rays to show the apparent position of the object. The refractive index of the glass of the block is 1.48 and the thickness of the block is 8.0 cm. (b) (c) Determine the apparent position of the object Suggest why your answer in (b) is correct only when the object is viewed from vertically above it [3] [1] Turn over
12 27 M06/4/PHYSI/HP3/ENG/TZ2/XX+ H2. This question is about refraction. A bird is hovering above a pond. A fish is in the pond at the position shown in the diagram below. bird surface of the pond fish (a) (b) (c) Draw rays on the diagram above to locate the position of the image of the fish as seen by the bird. Explain whether the image of the fish is real or virtual. The fish is 48 cm below the surface of the pond. The bird hovers vertically above the fish. Calculate the apparent depth of the fish. The refractive index of water is 1.3. [3] [1] Turn over
13 27 N06/4/PHYSI/HP3/ENG/TZ0/XX+ Option H Optics H1. This question is about dispersion and refractive index. (a) (b) State and explain what is meant by the dispersion of white light. A narrow beam of light is incident from glass on a boundary between glass and air as shown below. glass air The beam consists of a mixture of red and blue light. (i) (ii) On the diagram above, draw labelled rays to show the path of the red and blue light in air. The refractive index of glass for the red light is Calculate the maximum angle of incidence on the glass air boundary for the red light to pass into the air. (iii) Explain whether the blue light would pass into the air for the angle calculated in (ii) Turn over
14 24 M07/4/PHYSI/HP3/ENG/TZ2/XX Option H Optics H1. This question is about refractive index. (a) A small object rests at the bottom of a swimming pool of depth d. Viewed from directly above, the object appears to be 5.0 m below the surface of the water. eye not to scale d small object (i) On the diagram above, draw rays to locate the image of the object as seen from above. (ii) The refractive index of water = 1.3. Determine the depth d of the swimming pool. (This question continues on the following page)
15 25 M07/4/PHYSI/HP3/ENG/TZ2/XX (Question H1 continued) (b) A diver views the surface of the water from point O as shown in the diagram below. object eye O not to scale (i) (ii) On the diagram above, draw two rays to locate the image of the object as seen by the diver at O. Explain why the surface of the water needs to be undisturbed for the image to be seen. [3] [1] Turn over
16 H2. This question is about refraction and total internal reflection. 22 M06/4/PHYSI/HP3/ENG/TZ1/XX+ (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) (ii) Calculate the angle of refraction of the ray at the surface of the scratch. On the diagram, draw a sketch of the path of the ray as it emerges from the surface of the scratch. [1] (This question continues on the following page)
17 23 M06/4/PHYSI/HP3/ENG/TZ1/XX+ (Question H2 continued) (c) (d) By reference to (b) (ii), suggest and explain one reason why, in practice, optical fibres have an outer covering. State and explain two reasons why lasers are used as light sources for optical fibres [4] Turn over
18 26 M07/4/PHYSI/HP3/ENG/TZ1/XX+ Option H Optics H1. This question is about refraction and dispersion. (a) (b) State what is meant by dispersion. A thin beam of white light is incident on one surface of a glass prism as shown below. [1] On the diagram above, draw lines to show the approximate paths of the red and of the blue light as it passes through the prism and back into the air. [3] (c) State and explain, with reference to your diagram, whether the refractive index of glass for blue light is greater or less than that for red light. [3] (This question continues on the following page)
19 27 M07/4/PHYSI/HP3/ENG/TZ1/XX+ (Question H1 continued) (d) A second similar prism is placed close to the first prism in (b) as shown below. Suggest the appearance and the direction of the light that emerges from the second prism Turn over
20 21 N07/4/PHYSI/HP3/ENG/TZ0/XX+ Option H Optics H1. This question is about refraction. (a) Define refractive index. [1] (b) In a certain medium, the speed of light of a particular frequency is 2.1 % 10 8 m s 1. Calculate the refractive index of the medium for this frequency. (c) With reference to your answer in (b), describe what is meant by optical dispersion. [3] Turn over
21 28 M08/4/PHYSI/HP3/ENG/TZ1/XX+ Option H Optics H1. This question is about refraction. (a) Define refractive index. [1] (b) The diagram below shows the path of a ray of red light incident on a 45 prism. C red light 45 glass prism! air normal A B The light undergoes total internal reflection at face BC. (i) (ii) State the value of the angle of incidence! on face BC. Determine the minimum refractive index of the glass of the prism for total internal reflection of the ray at face BC. [1] [3] (c) The red light is replaced by blue light. Explain why the path of blue light is the same as that of the red light
22 27 M08/4/PHYSI/HP3/ENG/TZ2XX+ H2. This question is about refraction. (a) The diagram below shows a ray of monochromatic light incident on the boundary between two media. The dotted line is the normal to the boundary. normal medium 1 boundary medium 2 The refractive index of medium 1 is n 1 and that of medium 2 is n 2 and n 1 > n 2. The ray is incident at an angle to the normal that is less than the critical angle. (i) (ii) Explain what is meant by critical angle. On the diagram above, draw lines to show the paths of the ray after it is incident on the boundary. (b) Derive a relationship between n 1, n 2 and the critical angle! c Turn over
23 H2. This question is about the reflection and refraction of laser light. 24 N08/4/PHYSI/HP3/ENG/TZ0/XX+ (a) (b) Define refractive index. A beam of laser light is incident on a glass/air boundary. [1] air glass (i) On the diagram above, draw rays to show the reflected ray (label this L) and the refracted ray (label this R). [1] (ii) The angle of incidence of the beam is gradually increased. Deduce how the path of the laser light would change for angles of incidence up to 80!. The refractive index of the glass is 1.5. [4] (This option continues on page 26)
24 22 M09/4/PHYSI/HP2/ENG/TZ1/XX+ (Question B3, Part 1 continued) (d) The diagram shows wavefronts of the waves in (c) incident on a boundary XY between medium M 1 and another medium M 2. wavefronts Y normal direction of travel 30º M 1 M 2 X The angle between the normal, and the direction of travel of the wavefronts is 30. (i) The speed of the wave in M 1 is 0.80 m s 1. The speed of the waves in M 2 is 1.2 m s 1. Calculate the angle between the direction of travel of the wavefronts in M 2 and the normal. [3] (ii) On the diagram, sketch the wavefronts in M 2. [1] (This question continues on the following page)
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