2m grating purple bright fringes screen · 1=?·
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Coherent red light (fr = 4.00 ×1014 Hz) and blue light (fb = 6.00 ×1014 Hz ) is shone through a diffraction grating onto a screen located from the grating. The central bright spot looks purple, and there are two other purple bright spots that appear – one at each edge of the screen.
(a) Find the total number of red and blue (not purple) bright fringes that appear on the screen.
(b) If the spacing of the slits in the diffraction grating is 3 ×10−6 m, find the width of the screen.
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- A thin film of oil (n = 1.15) is located on smooth, wet pavement. When viewed from a direction perpendicular to the pavement, the film reflects most strongly red light at 640 nm and reflects no light at 548 nm. (a) What is the minimum thickness of the oil film? nm(b) Let m1 correspond to the order of the constructive interference and m2 to the order of destructive interference. Obtain a relationship between m1 and m2 that is consistent with the given data.Monochromatic light (wavelength = 455 nm) is incident perpendicularly on a single slit (width = 0.56 mm). A screen is placed parallel to the slit plane, and on it the distance between the two minima on either side of the central maximum is 2.1 mm. (a) What is the distance from the slit to the screen? (Hint: The angle to either minimum is small enough that sin ≈ tan 9.) (b) What is the distance on the screen between the first minimum and the third minimum on the same side of the central maximum? (a) Number 120 (b) Number i 1.8 Units Units cm mmA student performs a standard two-slit interference experiment and carefully sketches the observed interference pattern. The red colored pencil used by the student may not precisely match the actual color of the coherent light source. The position of the second-order maximum, corresponding to two full wavelengths of path difference from the two slits, is most nearly 35.0cm. The position of the third-order minimum of intensity, corresponding to two and one-half wavelengths of path difference for rays arriving from the two slits, is most nearly 43.8cm. 1. Given that the two narrow slits in the barrier are separated by 10.0μm10.0μm and the distance between the barrier and the screen is 2.55 m, what is the wavelength, in nanometers, of the coherent light source used to create the interference pattern? 2. The student wishes to repeat the using different slit separations. What is the smallest slit separation, in micrometers, that produces a first-order maximum? 3. The student wishes to…
- If a soap bubble is 120 nm thick, what wavelength is most strongly reflected at the center of the outer surface when illuminated normally by white light? Assume that the index refraction of air is na 1 (the actual value is 1.0003) and the index refraction of soap is ns = 1.35.Light of wavelength 427 nm (in vacuum) is incident on a diffraction grating that has a slit separation of 1.2 x 105 m. The distance between the grating and the viewing screen is 0.17 m. A diffraction pattern is produced on the screen that consists of a central bright fringe and higher-order bright fringes (see the drawing). (a) Determine the distance y from the central bright fringe to the second- order bright fringe. (Hint: The diffraction angles are small enough that the approximation tan(0)~ sin(0) can be used.) (b) If the entire apparatus is submerged in water (nwater = 1.33), what is the distance y? (a) y = i (b) y = i eTextbook and Media Diffraction grating 8 -L- Screen 2nd-order maximum Central maximum (m = 0)The two most prominent wavelengths in the light emitted by a hydrogen discharge lamp are 656 nm (red) and 486 nm (blue). Light from a hydrogen lamp illuminates a diffraction grating with 460 lines/mm, and the light is observed on a screen 1.50 m behind the grating. What is the distance between the first-order red and blue fringes?
- Light is sent through a single slit of width w = 0.52 mm. On a screen, which is L = 1.9 m from the slit, the width of the central maximum is D = 5.2 mm. a) The angle of the first dark fringe theta dark. Express sin(theta dark) in terms of the wavelength of the light λ and w. sin(theta dark) = b) Express tan(theta dark) in terms of D and L. c) If D << L, how is tan(theta dark) related to sin(theta dark)? d) Express λ in terms of w, D, and L? e) Solve for the numerical value of λ, in nanometers.Parallel rays of monochromatic light with wavelength 575 nm illuminate two identical slits and produce an interference pattern on a screen that is 75.0 cm from the slits. The centers of the slits are 0.640 mm apart and the width of each slit is 0.434 mm. If the intensity at the center of the central maximum is 4.20×10−4 W/m2, what is the intensity at a point on the screen that is 0.850 mm from the center of the central maximum?