A) The de Broglie Relationship In DL 4, we learned that light incident on two narrow slits will produce an interference pattern characterized by the equation ml = (1 sin 9. It turns out that a beam of particles such as electrons incident on two narrow slits will also produce an interference pattern characterized by the same equation, where the wavelength of theparticle is given by: h 7" : lab-5X (0'34 _ ___________________. '1'; we} we\"? where p is the momentum of the particle and h is Planets constant. In SI units, it = 6d6p6 X Eli34 ] - s. This equation is called the de Broglz'e relationship, after the French physicist who first postulated it in 1924. 1) Use the dc Broglie relationship to calculate the wavelength of a baseball with a mass of 651' g pitched at a speed of 41' 11155 . Based on this answer and the two slit interference equation given above, calculate the slit separation distance, d, that would give the n = 9 interference maximum at an angle 9 = 9%! Is this a "reasonable" slit separation? Could we observe diffraction with baseballs? 2) Use the de Broglie relationship to calculate the wavelength of an electron (mass deB X Eli31 kg) accelerated to a speed of 9911' mss . How does this X compare to the wavelength of the laser light you used in DL 4 (633 um)? Based on this, would you expect to see these electrons diffract? (It turns out that for these "electron waves," the intensity of the interference pattern corresponds to the probability that an electron will be detected at the point. Hence, the "bright spots " of the electron diffraction pattern correspond to a higher probability of detecting an electron, while "dark spots" correspond to low probability of detecting an electron.) Whnlp place niurlluuinn