Monochromatic light of wavelength å is incident on a pair of slits separated by 2.45 x 10-4 m, and forms an interference pattern on a screen placed 1.85 m away from the slits. The first-order bright fringe is 4.42 mm from the center of the central maximum. (a) Draw a picture, labeling the angle 0 and the legs of the right triangle associated with the first-order bright fringe. (Submit a file with a maximum size of 1 MB.) Choose File No file chosen This answer has not been graded yet. (b) Compute the tangent of the angle 0 associated with the first-order bright fringe. tan (0) = (c) Find the angle corresponding to the first-order bright fringe and compute the sine of that angle. sin 0, = Are the sine and tangent of the angle comparable in value? Does your answer always hold true? Explain.

In a Young's interference experiment, the two slits are separated by 0.155 mm and the incident light includes two wavelengths: 1, = 540 nm (green) and 1, = 450 nm (blue). The overlapping interference patterns are observed on a screen 1.48 m from the slits. (a) Find a relationship between the orders m, and m, that determines where a bright fringe of the green light coincides with a bright fringe of the blue light. (The order m, is associated with 1,, and m, is associated with 1,.) m2 m1 (b) Find the minimum values of m, and m, such that the overlapping of the bright fringes will occur. m1 m2 Find the position of the overlap on the screen. cm from the central maximum

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.…

The wavelengths of the visible spectrum are approximately 400nm (violet) to 700nm (red). Find the angular width of the first-order visible spectrum produced by a transmission diffraction grating with 433 lines per millimeter when white light falls normally on the grating.Give your answer in degrees.