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- List down at least 5 scenarios where wave diffraction can be found.
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- The analysis of any two-point source interference pattern and a successful determination of wavelength demands an ability to sort through the measured information and equating the values with the symbols in Young's equation. Apply your understanding by interpreting the following statements and identifying the values of y, d, m and L. Finally, perform some conversions of the given information such that all information share the same unit. Two sources separated by 0.500 mm produce an interference pattern 525 cm away. The fifth and the second antinodal line on the same side of the pattern are separated by 98 mm. y= ________ d=________ m=_______ L=________(Figure 1) shows the circular wave fronts emitted by two wave sources. Are these sources in phase or out of phase? Make a table with rows labeled P, Q, and R and columns labeled r1, r2, Δr, and C/D. Fill in the table for points P, Q, and R, giving the distances as multiples of λ and indicating, with a C or a D, whether the interference at that point is constructive or destructive.Consider a three layer symmetric waveguide. In the following cases, explain if the number of modes increases or decreases as: a) the width of the waveguide increases b) the wavelength of the light propagating in the waveguide increases c) the index difference between the “core” and the “cladding” regions decreases Does the effective index of the fundamental mode increase or decrease in each of the three cases above?
- When light passes through sequential interfaces, there may be a change of phase upon reflection at each interface. Additionally the wavelength changes with each change of the index of refraction. If the thickness of a thin layer is chosen correctly, then it will serve as an anti-reflective coating bringing about maximally destructive interference between the first and second reflected waves.For convenience, the index of refraction for a variety of materials is provided below. Materials at 20°C for light with a vacuum wavelength of 589 nm. Material n Material n Material n benzene 1.501 diamond 2.419 plexiglas 1.51 carbon disulfide 1.628 fluorite (CaF2) 1.434 quartz (crystalline) 1.544 carbon tetrachloride 1.461 glass (crown) 1.52 quartz (fused) 1.458 ethanol 1.361 glass (flint) 1.66 sodium chloride 1.544 glycerine 1.473 ice (0°C) 1.309 zircon 1.923 water (fresh) 1.333 polystyrene 1.49 air Given that the thin layer of diamond has thickness…Consider a step index optical fiber in which the index of refraction of the core is m =1.52 and the index of refraction of the cladding is n, =1.50. If the core radius of the fiber is a= 5.0um, then determine the operating wavelength for the waveguide parameter V = 6. Answer Choices: а. 3.4/m b. 2.5 дm с. 1.3um d. 4.2 umLet yland y2 be the wavefunctions of two interfering waves. In which of the listed cases, the interference is totally constructive? O y1 = A sin(10x+ 24nt) and y2 = A sin(10x + 24rnt + 4n/5) O y1 = A sin(7x + 30nt - T/5) and y2 = A sin(7x + 30nt) O y1 = A sin(4x - 30nt + 4) and y2 = A sin(4x - 30nt) O y1 = A sin(10x - 30rt - 3n) and y2 = A sin(10x - 30nt) O y1 = A sin(4x + 24rtt) and y2 = A sin(4x + 24tt + T/5)
- a) Figure 4 shows the reflection of two rays of radiation from consecutive planes with spacingd, where θ is the angle of incidence as shown. Explain why constructive interference occursif the following condition is obeyed:2d sin θ = λ,where λ is the wavelength of the radiation.d) Table 1 shows a set of measured values for angles 2θ at which peaks in scattered radiationare observed, where λ = 1.4 A is the wavelength of the radiation. (i) Fill in the second column of the table, showing squared plane spacings (in units of A˚2)corresponding to the measured deflection angles.(ii) Fill in the third column, where d0 is the plane spacing corresponding to the first entryin column 2.(iii) Find an integer N in the final column of the table, that makes all entries an integer.The analysis of any two-point source interference pattern and a successful determination of wavelength demands an ability to sort through the measured information and equating the values with the symbols in Young's equation. Apply your understanding by interpreting the following statements and identifying the values of y, d, m and L. Finally, perform some conversions of the given information such that all information share the same unit. The fifth antinodal line and the second nodal line on the opposite side of an interference pattern are separated by a distance of 32.1 cm when the slits are 6.5 m from the screen. The slits are separated by 25.0 micrometers. y= ________ d=________ m=_______ L=________Rank these scenarios on the basis of the angle of the first interference maximum. Rank from largest to smallest. To rank items as equivalent, overlap them.
- A 3.04-kHz tone is being produced by a speaker with a diameter of 0.212 m. The air temperature changes from 0 to 28 °C. Assuming air to be an ideal gas, find the change in the diffraction angle 0. 0, (colder) 02(hotter) Number i 2.3 Units degA water break at the entrance to a harbor consists of a rock barrier with a 50.0-m-wide opening. Ocean waves of 20.0-m wavelength approach the opening straight on. At what angles to the incident direction are the boats inside the harbor most protected against wave action?Two slits are separated by 0.180 mm. An interference pattern is formed on a screen 80.0 cm away by 656.3-nm light. Calculate the fraction of the maximum intensity a distance y = 0.600 cm away from the central maximum.