Problem 1 An elephant is 15.0 m away from the camera and is 4.00 m tall. The distance q between the converging lens in the camera and the light sensor on your phone is 1.00 mm. a) What is the image height on the sensor? b) Is the image upright or inverted? h = 4.00 m p = 15.0 m q = 1.00 mm Lens SensorProblem 2 An object of height 5.50 mm is 11.0 cm to the left of a diverging lens with a focal length of 7.00 cm. Calculate: {a} the image distance and [b] the height of the image [C] Is. the image upright or inverted? [cl] Draw a railr tracing diagrams to confirm your calculations Problem 3 In a deubIe-slit Experiment, the thirdorder maximum for light of wavelength in = 550 nm is located a distance V1 = 12 mm from the central bright spot on the screen. The screen is L = 1.6 m away from the slits. [al What is the distance between the slits? Hint: for small angles, sin 8 2 tan 6' [b]: Light of an unknown wavelength In is then projected through the same slits. The fourth-order maximum is now at the position v1: 12 mm. What is the unknown wavelength? Problem 4 An astronaut in the international space station can just barelv resolve two pointsources on Earth. The sources on Earth are separated by 65.0 m. The diameter of the astronaut's pupil is 4.00 mm and is a circular aperture. Assume that the resolution is diffraction limited (Hint: consider Ravleigh's criterion). Ignore any effects of fluid in the eye. (a) If the wavelength of the light is 550 nm, calculate the angular separation, of the two sources on Earth. [b]: What is the astronaut's altitude above the earth? Problem 5 A converging lens and a diverging lens are used in combination. Thev are separated by a distance of d = 45.0 cm. The first (converging) lens has a focal length off1= 10.0 cm. The second {diverging} lens is placed to the right of the rst lens and the magnitude of its focal length is f2 = 12.0 cm. An object is placed 15.0 cm to the left of the first lens. The object has a height ha: 4.0 cm. (a) Where is the final image located? [bi What is the height of the final image? [cl Is the image real or virtual? Upright or inverted? Problem E A beam of light strikes a glass block at an angle of 81 = 35.6D as shown in the diagram below. The refractive index of the glass is 1.63, and the refractive index of the air = 1.00. The light has a wavelength of 589 nm in air. a] Calculate the angle of refraction, El: (2 marks] b} Calculate the distance d {2 marks] c} Calculate the speed of light in the glass [2 marks] d) Calculate the frequency of the light in the air {2 marks] e] Calculate the wavelength ofthe light, in mm while In the glass {2 marks] 1.54 cm