Problem 10: Consider the sodium doublet vapor lines, which have wavelengths of 589 nm (line a) and 589.6 nm (line b). Randomized Variablesw = 2.15 μm L = 0.85 m Part (a) Find the angle (in degrees) between the first minima for the two sodium vapor lines, when they fall upon a single slit with a width of 2.15 μm. Part (b) What is the distance in mm between these minima if the diffraction pattern falls on a screen 0.85 m from the slit?
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Problem 10: Consider the sodium doublet vapor lines, which have wavelengths of 589 nm (line a) and 589.6 nm (line b).
Randomized Variablesw = 2.15 μm
L = 0.85 m
Part (a) Find the angle (in degrees) between the first minima for the two sodium vapor lines, when they fall upon a single slit with a width of 2.15 μm.
Part (b) What is the distance in mm between these minima if the diffraction pattern falls on a screen 0.85 m from the slit?
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- You are a sonographer, and you want to use the best available single-elementtransducer to image the fetus head which is about 10 cm away from themother’s skin. The optimal transducer diameter to use at frequency 6.15 kHz is:a. 5 mmb. 7 mmc. 10 mmd. 15 mmA diffraction grating is 2.10 cm wide and contains 2700 lines, When used with light of a certain wavelength, a third-order maximum is formed at an angle of 12.0°. What is the wavelength (in nm)? Number i UnitsCoherent light with an unknown wavelength passes through two very narrow slits with a separation d = 0.011 mm, and the interference pattern is observed on a screen a distance of L = 3.00 m from the slits. The third-order bright fringe is formed at a angle of 9.81 °relative to the incident light. Part A - Find the wavelength of the light. The unit is nm, 1 nm = 109 m. Keep 1 digit after the decimal point. 15| ΑΣΦ xa Xb 0/0 A= 5.68 107 ● √x √x 18Mirror M, in the figure below is moved through a displacement AL. During this displacement, 240 fringe reversals (formation of successive dark or bright bands) are counted. The light being used has a wavelength of 634.8 nm. Calculate the displacement AL. 39.6 Your response is within 10% of the correct value. This may be due to roundoff error, or you could have a mistake in your calculation. Carry out all intermediate results to at least four-digit accuracy to minimize roundoff error. µm A single ray of light is split into two rays by mirror M, which is called a beam splitter. Light source The path difference between the two rays is varied with the adjustable mirror M1. M1 Telescope Mo As M1 is moved, an interference M2 pattern changes in the field of view. Need Help? Read It Master ItOne and Two Slit Intensity Profile Two slits are d=7w apart, where w is the width of each slit. a) What are the angles of the first three bright spots (not including the center) of the substructure (due to two-slit interference)? Express your answer in terms of A and d. b) What are the intensities of light at the angles found in the previous part (considering both the envelope due to single slit diffraction and the substructure due to two-slit interference)? Express this in terms of Io, the intensity at 0 = 0. c) Extra credit: Are any bright spots in the substructure shadowed by the envelope? If so, which ones (not necessarily found in part a)).An interferometer is an instrument that uses interference effects to makevery precise measurements of small changes in distance.Figure QB3a shows the set-up of a simple interferometer. The lightproduced by the laser (λ = 700 nm) travels to the beam splitter, C (a halfsilvered mirror), where 50% of the laser light travels straight throughwithout changing direction (beam 1) and the other 50% is reflected(beam 2).Beam 1 hits mirror A and returns to the beam splitter, where it is thenreflected towards the screen (D). Beam 2 hits mirror B and returns tothe beam splitter, where it then travels straight through without changingdirection, also reaching the screen.All parts of the interferometer are suitably enclosed such that the onlylight inside the device comes from the laser.(i) Assuming that AC and BC are the same length, explain what youwould expect to observe on the screen and why.(ii) The interferometer set-up is modified such that the length of BCis 0.000525 mm longer than the length…Light with a wavelength of 646 nm passes through two slits and forms an interference pattern on a screen 8.75 m away. The distance between the two second- order bright fringe is 10.32 cm. What will be the distance between the central bright fringe and the third-order minimum? I The most versatile interferometer, makes it possible to bring twu spiscal planes into coincidence and move them yutually through one another The principle of Michelson Interferometer is as follows Light AromHow the data were collected:Align the light source (laser diode: 650 nm on label) on an optical bench. Setup a white screen that is parallel with respect to the slit disk’s orientation. Measure the distance between the slit disk and the screen (this serves as the slit-to-screen distance d). Record the position of dark fringes on the screen using a pen or a pencil.Measure the distance ∆y1 between the first-order (m = ±1) minima and record this distance in Tables W1 and W2. Also measure the distance ∆y2 between the second-order (m = ±2) minima and record it in Table W2. Divide the distances between side orders by two (2) to get the distances from the center of the pattern to the first and second order minima (ym = 1 2 ∆ym). Record these values of ym in Tables W1 and W2.The data from the experiment is: Single Slit Diffraction Experiment Data Slit Width, a (mm) Δy_1 (cm) Δy_2 (cm) Δy_3 (cm) 0.02 2.80 0.04 1.00 1.90 0.08 0.45 0.90 1.45 0.16 0.20 0.50 0.70 Source-to-Slit…Can you please help me with this question? I appreciated!J03A. Calculate the angle in degrees at which a 2.15 µm wide slit produces its first minimum for 410 nm violet light. Enter your result to the nearest 0.1°. B. Where is the first minimum in degrees for 755-nm red light?Use the worked example above to help you solve this problem. If the spacing between certain planes in a crystal of calcite (CaCO3) is 0.313 nm, find the grazing angles at which first- and third-order interference will occur for x-rays of wavelength 0.0709 nm. 0₁ 02 OSEE MORE QUESTIONS