Q1) Diffraction occurs when light passes a: 1) pinhole. 2) narrow slit. 3) wide slit. 4) sharp edge. 5) all of the above Q2) Diffraction plays an important role in which of the following phenomena? 1) The sun appears as a disk rather than a point to the naked eye 2) Light is bent as it passes through a glass prism 3) A cheerleader yells through a megaphone 4) A farsighted person uses eyeglasses of positive focal length 5) A thin soap film exhibits colors when illuminated with white light Q3) No fringes are seen in a single-slit diffraction pattern if: 1) the screen is far away 2) the wavelength is less than the slit width 3) the wavelength is greater than the slit width 4) the wavelength is less than the distance to the screen 5) the distance to the screen is greater than the slit width Q4) The pattern on the screen is due to a narrow slit that is 1) horizontal 2) vertical Q5) Diffraction occurs when light passes through a single slit. Rank the following three choices in decreasing order, according to the extent of the diffraction that occurs (largest diffraction first). A – blue light, narrow slit B – red light, narrow slit C – blue light, wide slit 1) A, B, C 4) A, C, B 2) B, A, C 5) B, C, A 3) C, A, B Q6) You are conducting a single-slit diffraction experiment with light of wavelength . What appears, on a distant viewing screen, at a point at which the top and bottom rays through the slit have a path length difference equal to (a) and (b) 4.? 1) 2) 3) 4) (a) dark fringe (a) dark fringe (a) approximately a bright fringe (a) approximately a bright fringe (b) dark fringe (b) approximately a bright fringe (b) approximately a bright fringe (b) dark fringe Q7) 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)? 1) λ/2 2) λ 3) 3λ/2 4) 2λ 5) 5λ/2 Q8) The diagram shows a single slit with the direction to a point P on a distant screen shown. At P, the pattern has its maximum nearest the central maximum. If X and Y are the edges of the slit, what is the path length difference (PX) - (PY)? 1) λ/2 2) λ 3) 3λ/2 4) 2λ 5) 5λ/2 Q9) A student wishes to produce a single-slit diffraction pattern in a ripple tank experiment. He considers the following parameters: 1. frequency 2. wavelength 3. water depth 4. slit width Which two of the above should be decreased to produce more bending? 1) 1, 3 4) 2, 4 2) 1, 4 5) 3, 4 3) 2, 3 Q10) The intensity at a secondary maximum of a single-slit diffraction pattern is less than the intensity at the central maximum chiefly because: 1) some Huygens wavelets sum to zero at the secondary maximum but not at the central maximum 2) the secondary maximum is further from the slits than the central maximum and intensity decreases as the square of the distance 3) the Huygens construction is not valid for a secondary maximum 4) the amplitude of every Huygens wavelet is smaller when it travels to a secondary maximum than when it travels to the central maximum 5) none of the above Q11) In a single-slit diffraction pattern, the central maximum is about twice as wide as the other maxima. This is because: 1) half the light is diffracted up and half is diffracted down 2) the central maximum has both electric and magnetic fields present 3) the small angle approximation applies only near the central maximum 4) the screen is flat instead of spherical 5) none of the above Q12) Light of frequency f illuminating a long narrow slit produces a diffraction pattern. (a) If we switch to light of frequency 1.3 f, does the pattern expand away from the center or contract toward the center? (b) Does the pattern expand or contract if, instead, we submerge the equipment in clear corn syrup? 1) 2) 3) 4) (a) expand (a) expand (a) contract (a) contract (b) expand (b) contract (b) contract (b) expand Q13) We produce a diffraction pattern on a viewing screen by means of a long narrow slit illuminated by blue light. Does the pattern expand away from the bright center or contract toward it if we (a) switch to yellow light or (b) decrease the slit width? 1) (a) expand 2) (a) expand 3) (a) contract 4) (a) contract (b) expand (b) contract (b) contract (b) expand Q14) Violet light of wavelength passes through a single slit of width D and forms a diffraction pattern on a screen. If the violet light is replaced with red light of wavelength 2, the original pattern on the screen is reproduced if the slit width is changed to 1) D/2 2) D/4 3) 2D 4) 4D 5) no change necessary. Q15) Blue light of wavelength passes through a single slit of width a and forms a diffraction pattern on a screen. If the blue light is replaced by red light of wavelength 2, the original diffraction pattern is reproduced if the slit width is changed to 1) a/4. 2) a/2. 3) No change is necessary. 4) 2a. 5) 4a. Q16) A laser shines through a single slit and a diffraction pattern is seen on a screen. Then a single thing about the experiment is changed , so that the pattern looks similar, but covers a smaller portion on the screen. Select all answers that could account for the smaller pattern. 1) The screen was moved further away from the slit. 2) The wavelength of the laser light was decreased. 3) The slit was changed to a smaller width slit. 4)The laser was moved closer to the slit. 1) 2, 3 4) No answer is correct 2) 1, 2, 3, 4 5) some other answer. 3) 2, 3, 4 Q17) Two wavelengths, 650 and 430 nm, are used separately in a single-slit diffraction experiment. The figure shows the results as graphs of intensity I versus angle for the two diffraction patterns. If both wavelengths are then used simultaneously, what color will be seen in the combined diffraction pattern at (a) angle A and (b) angle B? 1) (a) red (b) violet 2) (a) violet (b) red Q18) Imagine holding a circular disk in a beam of monochromatic light. If diffraction occurs at the edge of the disk, the center of the shadow of the disk is 1) a bright spot. 2) darker than the rest of the shadow. 3) bright or dark, depending on the distance between the disk and the screen. 4) as dark as the rest of the shadow, but less dark than if there is no diffraction. Q19) In a double-slit diffraction experiment the number of interference fringes within the central diffraction maximum can be increased by: 1) increasing the wavelength 2) decreasing the wavelength 3) decreasing the slit separation 4) increasing the slit width 5) decreasing the slit width Q20) Consider a double-slit experiment where d/a = 4. How many bright fringes are within the central peak of the diffraction envelope? 1) 3 2) 4 3) 7 4) 8 5) 9 Q21) Two slits in an opaque barrier each have a width of 0.020mm and are separated by 0.050mm. When coherent monochromatic light passes through the slits the number of interference maxima within the central diffraction maximum: 1) is 1 2) is 2 3) is 4 4) is 5 5) cannot be determined unless the wavelength is given Q22) When 450-nm light is incident normally on a certain doubleslit system the number of interference maxima within the central diffraction maximum is 5. When 900-nm light is incident on the same slit system the number is: 1) 2 2) 3 3) 5 4) 9 5) 10 Q23) The figure below shows the bright fringes that lie within the central diffraction envelope in two-slit diffraction experiments using the same wavelength of light. Are (a) the slit width a, and (b) the slit separation d in experiment B greater than, or the same as those in experiment A? 1) (a) greater than 2) (a) greater than 3) (a) less than 4) (a) less than (b) greater than (b) less than (b) less than (b) greater than Q24) The figure below shows the bright fringes that lie within the central diffraction envelope in two-slit diffraction experiments using the same wavelength of light. Is the ratio d/a in experiment B greater than, or the same as those in experiment A? 1) greater than 2) less than Q25) A light spectrum is formed on a screen using a diffraction grating. The entire apparatus (source, grating and screen) is now immersed in a liquid of refractive index 1.33. As a result, the pattern on the screen: 1) remains the same 2) spreads out 3) crowds together 4) becomes reversed, with the previously blue end becoming red 5) disappears because the refractive index isn’t an integer Q26) In order to obtain a good single-slit diffraction pattern, the slit width could be: 1) λ 2) λ/10 3) 10λ 4) 104λ 5) λ/104 Q27) The figure below shows a red line and a green line of the same order in the pattern produced by a diffraction grating. If we increased the grating spacing d, would the lines shift to the right, shift to the left, or remain in place. 1) to the right 2) to the left 3) remain in place Q28) 600-nm light is incident on a diffraction grating with a ruling separation of 1.7 × 10-6 m. The second order line occurs at a diffraction angle of: 1) 0 2) 10 3) 21 4) 42 5) 45 Q29) A diffraction grating is illuminated with yellow light at normal incidence. The pattern seen on a screen behind the grating consists of three yellow spots, one at zero degrees (straight through) and one each at ±45°.You now add red light of equal intensity, coming in the same direction as the yellow light. The new pattern consists of 1) red spots at 0° and ±45°. 2) yellow spots at 0° and ±45°. 3) orange spots at 0° and ±45°. 4) an orange spot at 0°, yellow spots at ±45°, and red spots slightly farther out. 5) an orange spot at 0°, yellow spots at ±45°, and red spots slightly closer in. Q30) The figure below shows lines of two orders produced by a single diffraction grating using light of two wavelengths, both in the red region of the spectrum. Is the center of the diffraction pattern to the left or to the right? 1) to the left 2) to the right Q31) The figure shows lines of different orders produced by a diffraction grating in monochromatic red light. (a) Is the center of the pattern to the left or right? (b) If we switch to monochromatic green light, will the halfwidths of the lines then produced in the same orders be greater than, less than, or the same as the half-widths of the lines shown? 1) (a) left (b) greater than 2) (a) left (b) less than 3) (a) right (b) greater than 4) (a) right (b) less than 5) (a) right (b) the same as Q32) The “D-line” in the spectrum of sodium is a “doublet” with wavelengths 589.0 nm and 589.6 nm. What is the minimum number of slits in the grating necessary to just resolve this doublet in the second order? 1) 982 2) 491 3) 245 4) 123 5) 61 Q33) Monochromatic light is normally incident on a diffraction grating. The mth order line is at a diffraction angle θ and has width w. A wide single slit is now placed in front of the grating and its width is then slowly reduced. As a result: 1) both θ and w increase 2) both θ and w decrease 3) θ remains the same and w increases 4) θ remains the same and w decreases 5) θ decreases and w increases Q34) Suppose that you can barely resolve two red dots, owing to diffraction by the pupil of your eye. If we increase the general illumination around you so that the pupil decreases in diameter, does the resolvability of the dots improve or diminish? Consider only diffraction. (You might experiment to check your answer.) 1) improve 2) diminish Q35) Two nearly equal wavelengths of light are incident on an Nslit grating. The two wavelengths are not resolvable. When N is increased they become resolvable. This is because: 1) more light gets through the grating 2) the lines get more intense 3) the entire pattern spreads out 4) there are more orders present 5) the lines become more narrow Q36) The widths of the lines produced by monochromatic light falling on a diffraction grating can be reduced by: 1) increasing the wavelength of the light 2) increasing the number of rulings without changing their spacing 3) decreasing the spacing between adjacent rulings without changing the number of rulings 4) decreasing both the wavelength and the spacing between rulings by the same factor 5) increasing the number of rulings and decreasing their spacing so the length of the grating remains the same Q37) Two stars that are close together are photographed through a telescope. Which situation would results in the most clearly separated images of the stars? 1) small lens, red stars 2) small lens, blue stars 3) large lens, red stars 4) large lens, blue stars Q38) The headlights of a car are 1.6 m apart and produce light of wavelength 575 nm in vacuum. The pupil of the eye of the observer has a diameter of 4.0 mm and a refractive index of 1.4. What is the maximum distance from the observer that the two headlights can be distinguished? 1) 8.0 km 2) 9.1 km 3) 11 km 4) 13 km 5) 16 km Q39) A spy satellite is in orbit at a distance of 1.0 × 106 m above the ground. It carries a telescope that can resolve the two rails of a railroad track that are 1.4 m apart using light of wavelength 600 nm. Which one of the following statements best describes the diameter of the lens in the telescope? 1) It is less than 0.14 m. 2) It is greater than 0.14 m and less than 0.23 m. 3) It is greater than 0.23 m and less than 0.35 m. 4) It is greater than 0.35 m and less than 0.52 m. 5) It is greater than 0.52 m. Q40) An x-ray beam of wavelength 3.0 10-11m is incident on a calcite crystal of lattice spacing 0.3 nm. The smallest angle between crystal planes and the x-ray beam that will result in constructive interference is: 1) 2.87o 2) 5.73o 3) 11.63o 4) 23.27o 5) none of the above Q41) Which of the following is true for Bragg diffraction but not for diffraction from a grating? 1) Two different wavelengths may be used 2) For a given wavelength, a maximum may exist in several directions 3) Long waves are deviated more than short ones 4) There is only one grating spacing 5) Maxima occur only for particular angles of incidence