What is the wavelength of light that is deviated in the first order through an angle of 13.5° by a transmission grating having 5000 slits/cm? (b) What is the second-order deviation of this wavelength? Assume normal incidence.
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What is the wavelength of light that is deviated in the first order through an angle of 13.5° by a transmission grating having 5000 slits/cm? (b) What is the second-order deviation of this wavelength? Assume normal incidence.
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- 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 = NumberAstronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the Holine. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is kept at a constant temperature. (a) Find the minimum value of d that will produce maximum transmission of perpendicular H light if the dielectric has an index of refraction of 1.400. (Enter your answer to one decimal place.) nm (b) If the temperature of the filter increases above the normal value increasing its thickness, what happens to the transmitted wavelength? (Assume the index of refraction of the dielectric remains constant.) ---Select--- (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light. nmA 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?
- Astronomers observe the chromosphere of the Sun with a filter that passes the red hydrogen spectral line of wavelength 656.3 nm, called the H, line. The filter consists of a transparent dielectric of thickness d held between two partially aluminized glass plates. The filter is held at a constant temperature. (a) Find the minimum value of d that produces maximum transmission of perpendicular H, light if the dielectric has an index of refraction of 1.494. (Assume that the glass's refractive index exceeds 1.494.) nm (b) If the temperature of the filter increases above the normal value, increases its thickness, what happens to the transmitted wavelength? (Its index of refraction does not change significantly.) O It increases. O It decreases. O It remains unchanged. (c) The dielectric will also pass what near-visible wavelength? One of the glass plates is colored red to absorb this light. nm Additional Materials O eBookTo make a hologram using an Argon laser (1 = 0.488 µm), the maximum angle between objective and reference beams is 0max resolution (or spatial frequency) of the holographic recording film (fo – lines per mm)? 40°. What is the requirement on the minimum 0.633 um). Assume that z, When the hologram is reconstructed using a HeNe laser (A 10cm, z, = 2z,, Zp transversal and axial magnification (M; and Ma). = 00, please compute virtual and real image locations (Fz;), theMonochromatic 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.