9. Light that comes from a source with two different wavelengths shines through two slits that are separated by 2.33 x 104 m. On the viewing screen the first two bright fringes are measured at angles 15.2 and 19.7°.
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![9. Light that comes from a source with two different wavelengths shines through two slits that are
separated by 2.33 x 104 m. On the viewing screen the first two bright fringes are measured at angles 15.2
and 19.7°.
a. What is the difference (in nm) between the two wavelengths whose fringes are seen in the pattern?
b. At what angle would the NEXT bright fringe be seen on the viewing screen?
- 3) Including the fringe at the center of the screen, how many bright fringes for the larger of the two
wavelengths could possibly been seen on the screen?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fa8404e81-19b4-46a6-b82e-4d4eb6687a09%2F473cab6a-9369-46e7-b978-a870cd25e495%2Fqkynnsb_processed.jpeg&w=3840&q=75)
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- 1. A diffraction grating has N lines per centimeter and is placed 2.19 m away from a screen. Sunlight shines on the diffraction grating, incident along the normal, and we observe the spectrum of the sun, where light of many wavelengths are separated on the screen. We see the 1st order appearance of the Halpha line (656.28 nm) at a position 11.5 cm away from the central maximum. a) How many lines per centimeter does this diffraction grating have? N = ________________________ b) How far (in cm) from the central maximum would the first-order H-gamma line (434.0472 nm) appear? ________________________ c) What is the angular separation between the second-order H-alpha and H-gamma lines? ________________________ d) Find the wavelength(s) of visible light that would have maxima at a point on the screen 37.4 cm from the central maximum?7. The Numerical Aperture, NA, of a waveguide is defined as no sin A where nд is the refractive index of the material from which the light enters the waveguide and is the maximum acceptance angle, as shown in Q3. Apply trigonometry to the figure in Q3 and show that the Numerical Aperture is: √√n²-n² NA =3. A single slit in an opaque screen is illuminated with a He-Ne laser (A = 1.1522 µm), and on a distant screen it is found that the middle of the tenth dark fringe in the interference pattern lies at an angle 0 = 6.4° from the central maximum. What band of the EM spectrum does this wavelength of light belong to? (a) (b) What is the width of the slit? (b) (c) tween the slit and the distant screen is immersed in water (n = 1.33) rather than At what angle (in degrees) will this minimum appear if the region be- air? (c)
- 3. The glass plates in the figure are separated by a thin round filament. When the top plate is illuminated normally with a light of wavelength 595 nm, the filament lies directly below the fourteenth order bright fringe. What is the diameter of the filament?38. Measurements are made of the intensity distribution within the central bright fringe in a Young's interference pattern (see Fig. 36.5). At a particular value of y, it is found that I/ - 0.810 when 600-nm light is used. What wavelength of light should be used to reduce the relative intensity at the same location to 64.0% of the maximum intensity?1a) The third-order dark fringe of light with a wavelength of 652 nm light is observed when the light passes through two narrow slits onto a screen. The slit distance is 6.3 x 10^-6 m. At what angle is the fringe observed? b) In an interference experiment, red light (600 nm) passes through a double slit. On a screen 1.5 m away, this distance between the 1st and 11th dark bands is 13.2 cm. What would the spacing be, between adjacent nodal lines, if blue light (450 nm) were used?
- 2. A double slit interference apparatus is illuminated with monochromatic light of wavelength 1 = 550. nm . The slit separation is d = 4.50µm. On a screen D= 2.00 m away from the slits, a pattern of fringes appears. On the optical axis at the screen, the central bright fringe is located at y. = 0.00 . what is the location, y,, of the sixth bright fringe (m = 6) at the screen?8. Light of wavelength 6.0 × 10² nm falls on a double slit, and the first bright fringe of the interference pattern is observed to make an angle of 12° with the horizontal. Find the separation between the slits.3. A single slit is used to create an interference pattern on a screen using light. Consider the statements that follow with respect to the pattern generated: I. A longer wavelength of light generates a wider central maximum. II. When using white light, the outer fringes are coloured. III. A narrower slit generates a wider central maximum. Which of the above statements is/are incorrect? a. b. c. I only I and II only I and III only d. e. I, II, and III none