Suppose that you have a reflection diffraction grating with n= 105 lines per millimeter. Light from a sodium lamp passes through the grating and is diffracted onto a distant screen. Two visible lines in the sodium spectrum have wavelengths 498 nm and 569 nm. What is the angular separation Δθ of the first maxima of these spectral lines generated by this diffraction grating? How wide does this grating need to be to allow you to resolve the two lines 589.00 and 589.59 nanometers, which are a well known pair of lines for sodium, in the second order (m=2)?

c) Figure Q3 (c) shows the X-ray diffraction patterns of Aluminum powder by CuK- radiation. i. Sketch the (311) plane in cubic structure using miller indices solution. ii. Calculate the planar spacing, d hkl and angle, 0 hkl for (311) peak if the lattice constant, a is 0.404 nm and I is 0.1542 nm. Note that the diffraction condition is 2dhkl sin 0 = n]. iii. Determine whether the crystal structure of Aluminum powder belongs to bcc or fcc lattices. Justify your answer. (111) 100 A=0.1542 nm (CuK „-radiation) 80 60 (200) 40 (311) (220) 20 (222) (400) (331)(420) 20 30 40 50 60 70 80 90 100 110 120 20 (degrees) Fig. Q3 (c): X-ray diffraction pattern of Aluminum powder by CuK_- radiation. Inte nsity (arbitrary units)

Light of several wavelengths strikes a thin film of index 1.4. The thickness of the thin film is 320 nm and sits on awater, which has an index of refraction of 1.33. Which wavelength will produce the least reflected light: 440 nm or580 nm? Include a diagram. Clearly outline the steps of your thought process.   This is a old study question that I am stuck on.

A beam of laser light with a wavelength of λ= 725.00 nm passes through a circular aperture of diameter a = 0.107 mm. What is the angular width of the central diffraction maximum formed on a screen? 0 11