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1. A concave mirror has radius of curvature 28 cm. The mirror is used to form an image of an object which is placed 8

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1. A concave mirror has radius of curvature 28 cm. The mirror is used to form an image of an object which is placed 8 cm away. (a) Calculate the image distance. (1) (b) State whether the image is real or virtual, larger or smaller and up right or inverted. For each of your conclusions, explain why. (1) 2. A convex mirror has radius of curvature 30 cm. An image reected by a child is formed which is 6.3 cm tall and 14.2 cm behind the mirror. Calculate the height of the child. (2) 3. The speed of light in a glass is 2 x 108 m/s. (a) When light is in air incident onto the surface at 45 degrees, calculate the refracted angle. (1) (b) When light is in glass incident onto the surface at 45 degrees, will the light refract into the air? Explain your answer. (1) 4. When an object is placed 10 cm from a lens, the image created is inverted and 1.5 times larger. (a) Calculate the focal length of the lens. (1) (b) The object is moved to another location which is 4cm away from the lens, calculate the magnication. (1) 5. Blue (450 nm) light is shone through a double slit and forms a diffraction pattern on a screen. If the distance between the double slits is 4.3 pm, calculate the theoretical maximal number of the bright fringes on the screen. (1) 6. Green (550 nm) light is diffracted through a single slit and forms a diffraction patter. The angle of the second dark fringe is 11.2 degree and the screen is placed 90 cm away. Calculate the width of the central bright fringe. (1) 7. Using 650 nm as the wavelength of the light, and 1.2 mm as the diameter of the camera lens. If two apples placed 70 m away from the camera and the camera is just able to resolve them, calculate the distance between the two apples. (1) 8. A tauon has rest energy 1.777 X 109 8V and is moving at a speed of 0.950 relative to the laboratory. (a) In electronvolt (8V), calculate the kinetic energy of tauon. (1) (b) An observer in laboratory measures a distance of 1.2 X 104 m trav eled by this tauon, calculate the proper length and the proper time interval of this movement. (2)

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