1. A convex mirror has a radius of curvature of 20 cm. A candle (4 cm tall) is placed on the axis of the mirror at a distance of 30 cm. How tall will the image of the candle appear to be? A. 4 cm and upright B. 8 cm and inverted C. I cm and upright D. I cm and inverted E. 16 cm and upright 2. Suppose the shit in a single slit diffraction pattern (illuminated by monochromatic light) is covered by a thin piece of transparent material of uniform thickness and refractive index of 1.45. Then: A. the location of the central maximum stays the same, but the distance between fringes decreases. B. the location of the central maximum stays the same, but the distance between fringes increases. C. the diffraction pattern disappears. D. the location of the central maximum is shifted, but the distance between fringes stays the same. E. the pattern of fringes is unaffected.3. An observer S sees light emitted from a source to his right, while a spacecraft carrying observer 8" approaches observer 5 from the left at a speed of 0.5. Which of the following statements is true? i) according to observer S, the light approaches observer 8 at 1.5 ii) according to observer 8, the light approaches observer 8 at 1.5 iii) according to observer 5, the light approaches observer 8" at v) according to observer 8, the light approaches observer 87 at iand v iand @ i and v only v only @ moNw> 4. Light of wavelength 632 nm is incident upon a sapphire (n= 1.77) prism at an angle of ncidence of 707 If the angle of the prsm s 607, the angle of refraction at the second face, 8, &: 63 e 67 T0 26" mEnDE > 5. Which one of the following statements is true? A. If you are in an inertial reference frame, another reference frame that is accelerating relative to you cannot be an inertial reference frame. B. The speed of light in a vacuum has the same value in all reference frames. C. The relativity postulate is the statement that the laws of mechanics are the same in any inertial reference frame. D. Two inertial observers will always agree on whether or not two events are simultaneous. E. An event requires three coordinates in order to fully specify it. 6. The diagram shows a single slit with the direction to a point P on a distant screen shown. At P, the pattern has its second minimum ( from its central maximum). If X and Y are the edges of the slit, what is the path length difference (PX) - (PY)? to P incident light X A. 21 B. 2/2 C. 52/2 D. 32/2 E. A7. A ray of light in water (index m) is traveling upward toward the air and is incident at the water-air boundary at the critical angle. Some oil (index n2) is now floated on the water. The angle between the direction of the ray in the oil and the normal direction is: A. sir (1/m) B. sir (m2) C. sin 1(n2/m) D. sir(1.00) E. sir(12) 8. In Young's double slit experiment, the light was first passed through a single slit So as shown in the figure. The reason for doing this was: Mas Man A. to insure that the light arriving at S, and Sy was coherent. B. to insure that the light arriving at S, and Sy was at sufficiently low intensity. C. to insure that the central maximum was the brightest fringe. D. to insure that the light arriving at S, and Sy had already undergone diffraction. E. to insure that the light did not diffract as it passed through S, and $2.9. A ray of light makes an angle of incidence of 40" on one face of a fused quartz rod (n = 1.47) from the air (n = 1) and strikes the second surface of the quartz as shown. The light will exit the second surface of quartz with an angle (to the normal of the second surface) of 40 A. 430 B. 870 C. 380 D. Light will not exit from the second surface and will be totally reflected at that surface. E. 50 10. A plane wave with a wavelength of 500 nm is incident normally on a single slit with a width of 5.0 * 10-6 m Consider waves that reach a point on a far-away screen such that rays from the slit make an angle of 1.0" with the normal. The difference in phase for waves from the top and bottom of the slit is: A. 0 B. 0.55 rad C. 2.2 rad D. 1.6 rad E. 1.1 rad