In a modified YDSE experiment if point source of monochromatic light O is placed in such a manner that OS₁- OS₂ = where is wavelength of light and S₁, S2 are slits separated by distance 22. Then value/s of 0 for which a maxima is obtained will be - J (A) sin¹ (1/8) (C) sin ¹ (5/6) (B) sin¹ (-1/4) (D) sin-¹ (-7/8)
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- The diffraction grating is a way of separating or dispersing light of different wavelengths, producing a spectrum of light. The grating interferes light constructively in particular directions: dsinθm=mλdsinθm=mλ For a particular angle, we calculate the wavelength. The grating constant (or line density) is 500 lines per mm -- every millimeter has 500 lines scratched onto it, equally spaced. The quantity d is the distance between the lines, and λ is the light wavelength. In the previous problem, calculate y2, where one of the second-order spots appears on the meter stick. Either that, or show that y2 can't be determined.Given the aperture function Ax) f(x) = tri(x – a) + tri(x + a) where – |x], if |x| < 1 0, elsewhere tri(x) Determine its diffraction pattern as Fourier transform. You can use Fourier tables as needed.An X-ray beam of wavelength 8.9 × 10-10 m makes an angle of 29° with a set of planes in a crystal which results in first order constructive interference. Determine the plane spacing in nanometers. (Please include 2 decimal places).
- In a certain photo-chemical experiment, the light from a sodium lamp at 589.0 nmneeds to be diffracted at an angle of 55 degrees in thesecond diffraction order. Howmany lines/mm would your grating need to have in orderto do this?Chapter 36, Problem 017 (a) Find the equation of a at which intensity extrema for single-slit diffraction occur (Im - is maximum). What are the (b) smallest a and (c) associated m, the (d) second smallest a and (e) associated m, and the (f) third smallest a and (g) associated m? (Note: To find values of a satisfying this conditiion, plot the curve y = tan a and the straight line y = a and then find their intersections, or use a calculator to find an appropriate value of a by trial and error. Next, from a = (m+1/2)x, determine the values of m associated with the maxima in the single-slit pattern. These m values are not integers because secondary maxima do not lle exactly halfway between minima.) (a) = 0 2 Edit •1 (b) a = Number Units 2 Units (c) m = Number *3 Units (d) a = Number *4 Units (e) m = Number Units (f) a = Number Units (g) m = NumberIncident nA = SQ + QT (3.19) na = dnki sin 0+ dnki sin 0 (3.20) = 2drki sin 0 H.W. Derive equation 3.20 (Bragg's Law) from equation 3.19 using trigonometry formulas.
- A uniform plane wave is generated from a ham radio antenna on earth. The take off angle is 60 degrees (the angle ffrom ground going up is 60 deg). Using simple trigonometry the angle if incidence with the ionosphere would be 30 degrees. Assume the F layer of the ionosphere is 300 km above the earth. The wave frequency from the transmitter is 21 MHz. WIll this wave refract off the ionosphere and end up somewhere on earth? If yes, what is the distance it travels?Pls write clearlySS-1 Coherent light of wavelength 675 nm passes through a narrow slit of width 0.0143 mm. The diffraction pattern is projected onto a viewing screen 1.08 m away from the slit. The intensity of the light at the center of the diffraction pattern is 175 W/m². (a) Draw a picture of the of situation descried in this problem. (b) Find the width of the central bright spot on the screen, in centimeters (cm). (c) Find the distance between the center of the diffraction pattern and the m = 4 minimum on the screen, in cm. (d) What is the intensity at a point on the screen 13.5 cm from the central maximum?
- Copper Kα1X-rays have a wavelength of 0.15406 nm. What is the interplanar spacing d, for the (200) planes in iron when the Bragg angle θ is 32.52 ̊ (assuming n=1, first-order diffraction)?(a) How far from some grains of red sand must you be so that you are just at the limit of resolving the grains if your pupil diameter is 3mm, the grains are spherical with radius 50μm, and the light from the gains has wavelength 650nm? (b) If the grains were blue and the light from them had wavelength 400nm instead, would the answer to (a) be larger or smaller? (c) Now let's say you are a superhero and you had x-ray vision, so you could see light that had a wavelength of 0.1nm instead. Now how far could you be from the gains of sand to just be at the limit to distinguish one grain of sand from another? (with the same pupil diameter). (assume you're on the beach and there's plenty of light from many frequencies bouncing off the sand, and when you turn on your x-ray vision you aren't bothered by all the other frequencies around).If y(x,)= (8.3mm) sin [kx+ (o00 nd/s)t + @ disabes a wave teaveling along how much tioe does ang ginen polnt on the steing take to move between dispacements. 生一 %3D a steing, = + 2,7mm And =-2. 7 mm ?