Monochromatic coherent light of amplitude E, and angular frequency w passes through three parallel slits, each sepa- rated by a distance d from its neighbor. (a) Show that the time-averaged intensity as a function of the angle 0 is I(0) = I (2nd sin e 1+ 2 cos max (b) Explain how this expression describes both the primary and the secondary maxima. (c) Determine the ratio of the intensities of the primary and secondary maxima. Hint: See Problem 16.
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- Plz answer questionMillimeter-wave radar generates a narrower beam than conventional microwave radar, making it less vulnerable to antiradar missiles than conventional radar. (a) Calculate the angular width 20 of the central maximum, from first minimum to first minimum, produced by a 220 GHz radar beam emitted by a 54.0-cm-diameter circular antenna. (The frequency is chosen to coincide with a low-absorption atmospheric "window.") (b) What is 20 for a more conventional circular antenna that has a diameter of 1.64 m and emits at a wavelength of 1.6 cm?b) A Fabry-Perot device contains two parallel part-reflective surfaces, each with a power re- flection coefficient R = 0.92, separated by an air gap of 40 μm. The device is used at a small but non-zero angle of incidence, such that there is a transmission maximum at wavelength 589 nm. Calculate the coefficient of finesse, and the resolving power. If a sodium lamp emits 2 spectral lines at 589.0 and 589.6 nm respectively, comment on whether these two lines can be resolved by the device.
- A hydrogen gas discharge lamp is used as a coherent light source illuminating NN slits in a barrier with a slit separation of 28 μmμm. The interference pattern is projected on a screen 2.00 m from the barrier. The first-order principal maxima to one side of the central maximum. The number of slits is sufficiently large that the individual lines are sharp and widely separated. Note that there are four different colors appearing in the source, violet is the color closest to the central maximum. λ=656λ=656 nm (red) λ=486λ=486 nm (cyan) λ=434λ=434 nm (blue-violet) λ=410λ=410 nm (violet) The blue-violet line is thin and somewhat faint, and it may be difficult to see without enlarging the figure. When viewing multiple orders of the interference pattern, the color sequence may change due to the interleaving of the different orders. 1. Using the values given in the problem statement, what is the distance along the screen, in centimeters, from the the central maximum to the first line? 2.…Homework 13, Problem 6Light of wavelength 585.5 nm illuminates a slit of width 0.80 mm. (a) At what distance from the slit should a screen be placed if the first minimum in the diffraction pattern is to be 0.87 mm from the central maximum? m (b) Calculate the width of the central maximum. mm Need Help? Master It
- How many (whole) dark fringes will be produced on an infinitely large screen if orange light (λ = 620 nm) is incident on two slits that are 20.0 μm apart?(The 3% margin of error does not apply for this question)Light of wavelength 633 nm is incident on a pair of identical stits of width 0.15 mm and center-to-center separation of 1.5 mm. The diffraction pattern is observed on a screen at distance 4 m. Calculate the spacing between consecutive zeros of intensity (in mm to 2 d.p.); and calculate how many peaks in total (on both sides) have intensity above 20 percent of the on-axis peak. (Hint: note sinc 2.0 = 0.454) The spacing of zeros is 1.69 mm, and the total number of peaks with at least 20 percent of central intensity isA laser delivers an irradiance of 105 W/cm2 in a certain target area. If you are working in this area and the MPE for this laser is given by Table 2-3 to be 0.005 W/cm2, what is the minimum OD for the laser goggles you should be wearing?
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