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Physics 300 Final Exam Review – Optics Mr. Youker | Answer the multiple choice questions by placing the letter for the best answer on the line provided. Provide complete solutions to the questions on the back in the space provided. Do not use a separate piece of paper. 1-5. Definitions • The number of oscillations per second is called… a. period b. frequency c. wavelength d. amplitude • Rays of light that hit a convex lens from a very distant source will… a. converge to a focal point c. remain parallel to one another b. cross at a distance 2f d. diverge away from one another. • The Doppler Shift results from… a. motion of a wave source c. altered indices of refraction b. diminishing amplitude d. interference • When two waves interfere constructively… a. their amplitude increases and wavelength decreases b. their amplitude increases and wavelength remains the same c. their amplitude decreases and wavelength decreases d. their amplitude remains the same and wavelength increases • A virtual image may be formed by… a. convex lenses c. plane mirrors b. concave lenses d. all of the above 6-10. Proportionalities • Increasing the focal length of a diverging lens will cause the image magnification to… a. decrease b. increase c. remain the same • If the angle of incidence (for light on a plane boundary) is increased beyond the critical angle… a. the angle of refraction will decrease c. the light will not reflect at all b. total internal reflection will occur d. the frequency of the light will shift • When the an opening (through which light is passing) is narrowed down, the distance between antinodal points in the interference pattern will… a. decrease b. increase c. remain the same • Which color of light tends to refract the greatest amount when passing through a prism? a. red b. white c. yellow d. violet • When light passes from a material with a large index of refraction into a material with a small index of refraction, the frequency of the light will… a. decrease b. increase c. remain the same 11-15. Basic Problems • If a ray of light hits a mirror at an angle of 20° from the surface of the mirror, than the angle between the incident and reflected rays will be… a. 10° b. 40° c. 70° d. 140° • An index of refraction (n = 2.0) means that light travels through that substance at a speed of… a. 6 x108 m/s b. 3 x108 m/s c. 2 x108 m/s d. 1.5 x108 m/s • A light wave of wavelength 2000 m passes through a vacuum. What is the frequency? a. 2000 Hz b. 6.7 Hz c. 150 kHz d. 14 MHz • A spherical mirror’s focal length is 2 m. The radius of curvature for this mirror is… a. 1 m b. 2 m c. 4 m d. 8 m • Light of wavelength = 500 nm passes into water (n = 1.33). Its new wavelength will be… a. 172 nm b. 376 nm c. 500 nm d. 665 nm Level 1 – Problem • A convex lens with a focal length of 2.0 m is held 8.0 m away from a 3.0 m tall tree. Determine each of the following: The location of the image. The magnification factor, orientation, and size of the image. Include a sketch showing the ray paths from the object through the lens to the image. Level 2 – Problem • A laser beam is placed in the air next to a fish aquarium. The aquarium is made of 1.00 cm thick glass with an index of refraction, n = 2.1. The aquarium is filled with water, n = 1.33. The laser is tipped so that it hits the outside surface of the glass at an angle of 80.0˚ with respect to the normal. Determine the angle of refraction as the light travels from the air into the glass. Include a sketch showing the path of the light and appropriate angles. Find the critical angle for light attempting to leave the water from the top surface. Physics 300 Final Exam Review – Optics - ANSWERS Mr. Youker | Answer the multiple choice questions by placing the letter for the best answer on the line provided. Provide complete solutions to the questions on the back in the space provided. Do not use a separate piece of paper. 1-5. Definitions B • The number of oscillations per second is called… a. period b. frequency c. wavelength d. amplitude A • Rays of light that hit a convex lens from a very distant source will… a. converge to a focal point c. remain parallel to one another b. cross at a distance 2f d. diverge away from one another. C • The Doppler Shift results from… c. motion of a wave source c. altered indices of refraction d. diminishing amplitude d. interference F • When two waves interfere constructively… e. their amplitude increases and wavelength decreases f. their amplitude increases and wavelength remains the same g. their amplitude decreases and wavelength decreases h. their amplitude remains the same and wavelength increases D • A virtual image may be formed by… c. convex lenses c. plane mirrors d. concave lenses d. all of the above 6-10. Proportionalities B • Increasing the focal length of a diverging lens will cause the image magnification to… a. decrease b. increase c. remain the same B • If the angle of incidence (for light on a plane boundary) is increased beyond the critical angle… a. the angle of refraction will decrease c. the light will not reflect at all b. total internal reflection will occur d. the frequency of the light will shift B • When the an opening (through which light is passing) is narrowed down, the distance between antinodal points in the interference pattern will… a. decrease b. increase c. remain the same D • Which color of light tends to refract the greatest amount when passing through a prism? a. red b. white c. yellow d. violet C • When light passes from a material with a large index of refraction into a material with a small index of refraction, the frequency of the light will… a. decrease b. increase c. remain the same 11-15. Basic Problems D • If a ray of light hits a mirror at an angle of 20° from the surface of the mirror, than the angle between the incident and reflected rays will be… a. 10° b. 40° c. 70° d. 140° D • An index of refraction (n = 2.0) means that light travels through that substance at a speed of… a. 6 x108 m/s b. 3 x108 m/s c. 2 x108 m/s d. 1.5 x108 m/s C • A light wave of wavelength 2000 m passes through a vacuum. What is the frequency? a. 2000 Hz b. 6.7 Hz c. 150 kHz d. 14 MHz C • A spherical mirror’s focal length is 2 m. The radius of curvature for this mirror is… a. 1 m b. 2 m c. 4 m d. 8 m B • Light of wavelength = 500 nm passes into water (n = 1.33). Its new wavelength will be… a. 172 nm b. 376 nm c. 500 nm d. 665 nm Level 1 – Problem • A convex lens with a focal length of 2.0 m is held 8.0 m away from a 3.0 m tall tree. Determine each of the following: The location of the image. The magnification factor, orientation, and size of the image. Include a sketch showing the ray paths from the object through the lens to the image. 1/do + 1/di = 1/f 1/8 + 1/di = 1/2 di = 2.7 m M = -di/do M = -2.7/8 M = -0.33 (inverted and smaller) Level 2 – Problem • A laser beam is placed in the air next to a fish aquarium. The aquarium is made of 1.00 cm thick glass with an index of refraction, n = 2.1. The aquarium is filled with water, n = 1.33. The laser is tipped so that it hits the outside surface of the glass at an angle of 80.0˚ with respect to the normal. Determine the angle of refraction as the light travels from the air into the glass. Include a sketch showing the path of the light and appropriate angles. Find the critical angle for light attempting to leave the water from the top surface. n1 sin1 = n2 sin2 1.00 sin 80 = 2.1 sin2 2 = 28° sinC = n2 /n1 sinC = 1.00/1.33 C = 49°