1. Figure below shows a double slit located a distance x from a screen, with the distance from the center of the screen given by y. The slits are illuminated by light of wavelength A. When the distance d between the slits is relatively large, there will be numerous bright spots, called fringes. Using the small angle approximation (where sine0, with 0 in radians), calculate the distance between fringes in terms of A and the variables shown below. Ym+1 Ут Om+1 d. Answer symbollically using: x,d, and A. Use the orange square root symbol box to enter variables and greek symbols. Ay= Using the result of part (a), calculate the distance between fringes for 646 -nm light falling on double slits separated by 0.09 mm, located 2 m from a screen as in Figure. Ду: cm

Light of wavelength 632 nm passes through a slit 7.00 x 10-6 m wide and falls on a screen that is 2.19 m away. What is the distance on the screen from the center of the central bright fringe to the third dark fringe on either side? Number i Units

q16

Establish the relevant theoretical model: Write an equation linking the distance between the two slits (d), the wavelength of the light source (2), the distance from the screen (L), the linear position (y) of the bright interference bangs and the order of these bangs (m). Use the small-angle approximation. Isolate, in this relationship, the linear position of the bright fringes. Draw a graph of y as a function of m.