When electrons pass through a single slit, as in Figure 29.15, they form a diffraction pattern. As Section 29.6 discusses, the central bright fringe extends to either side of the midpoint, according to an angle given by sin = W, where is the de Broglie wavelength of the electron and W is the width of the slit. When is the same size as W, = 90.0?, and the central fringe fills the entire observation screen. In this case, an electron passing through the slit has roughly the same probability of hitting the screen either straight ahead or anywhere off to one side or the other. Now, imagine yourself in a world where Planck’s constant is large enough so you exhibit similar effects when you walk through a 0.84 m wide dorway. Your mass is 97 kg and you walk at a speed of 0.48 m/s. How large would Planck’s constant have to be in this hypothetical world?