Islip Invitational Saturday, December 10th 2016 OPTICS For each question, answer on the answer sheet provided. Only the answer sheet will be graded. Answers without units or with incorrect units will not be given credit. For all problems with an index of refraction, use the values listed below. For all applicable problems, use 3.0 x 108 m/s as the speed of light in a vacuum. 1. A monochromatic beam of light (f=4.95 x 1014 Hz) travels from air (n=1.00) into a glass window (n=1.4). Determine the frequency of this beam of light in the glass window. 2. A student who wears corrective lenses reads their prescription from the eye doctor and find that their lenses have a strength of 0.25 diopter. Determine the focal length of the student’s glasses. 3. Reflection in which parallel light beams are scattered in different directions after hitting a surface is known as ________ reflection. BASE YOUR ANSWERS TO 4 THROUGH 8 ON THE INFORMATION AND DIAGRAM BELOW The diagram below shows an object set a distance of 50 cm away from a lens with a focal length of 30 cm. The height of the object is 12 cm. The diagram is not drawn to scale. 4. Is the lens a convex or concave lens? 5. Determine the distance of the image from the lens. 6. Find the magnification of the image. 7. Is the image real or virtual? 8. Is the image upright or inverted? 9. Light (f=5.04 x 1014 Hz) travels from air (n=1) into a transparent material in which light travels at 0.65c. Find the index of refraction for this material. FOR 10 THROUGH 15, LABEL THE PARTS OF THE HUMAN EYE ON YOUR ANSWER SHEET 16. Light traveling through air is incident on a lucite (n=1.5) boundary at an angle of 40°. Determine the angle of the refracted light with respect to the normal. 17. Light moving through water (n=1.33) is incident on a boundary with air. At what angle will all of the light incident on the boundary be reflected? 18. Calculate the energy of a photon having a wavelength of 230 nanometers. 19. A beam of light has a wavelength of 660 nm. What color is this light? 20. What color would be seen in the region of the CIE Chromaticity Diagram marked with an X? 21. A white piece of paper has blue light and green light sources projected onto it. What color does the paper appear? 22. What color will a white lab coat look like on stage if red and blue stage lights are projected onto it? 23. A full RGB light is projected onto a plain white paper. What color does the paper appear? 24. Determine the velocity of a light wave with a wavelength of 840 nm traveling through a vacuum. 25. White light enters goes from air into a material, causing it to bend. Which color of light bends the most as a result of this change in medium? 26. Name the two types of photoreceptors in the human eye. BASE YOUR ANSWERS TO 25 AND 26 ON THE INFORMATION BELOW A viewing screen is separated from a double-slit source by 1.2 meters. The distance between the two slids is 0.030 mm. The second-order bright fringe is 4.5 cm from the center line. 27. Determine the wavelength of the light. 28. Calculate the distance between adjacent bright fringes. 29. What is the name of the equipment/lab setup shown below? 30. Calculate the wavelength of EM radiation absorbed when an electron in hydrogen is excited from n=2 to n=7. 31. What optical phenomena is the reason that the Earth’s sky is blue during the day, and has red and orange hues at sunset and sunrise? 32. An electromagnetic wave traveling through a vacuum has a frequency of 4.5 MHz. Find the wavelength of this EM wave. 33. Earth is 2.5 times further from the Sun than Mercury. How many times brighter does the Sun appear on Mercury than on Earth? 34. Which color of light will diffract the most after passing through a narrow opening?