Consider a molecular beam of water molecules (m = 2.9 x 10-26 kg) that diffract through a narrow slit. The the water molecules are traveling at an average speed of 800 m/s. Treat the water molecules quantum mechanically. (a) What is the (linear) momentum of the water molecule? [5 pt] (b) What is the De Broglie wavelength of the water molecule? [7pt] (c) Sketch a graph of the diffraction pattern if these molecules diffract through a slit 10 nm wide, labeling the first two local minima in units of radians. [8pt]