1. (a) Calculate the angle at which a 2.00 m wide slit produces its first minimum for 410-nm violet light. (b) Calculate the angle for the first minimum for 700-nm red light? 2. In a location where the speed of sound is 354 m/s, a 4.00 kHz sound wave impinges on two slits 30.0 cm apart. (a) At what angle is the first maximum located? (b) If the sound wave is replaced by 3.00 cm microwaves, what slit separation gives the same angle for the first maximum? (c) If the slit separation is 1.00 m, what frequency of light gives the same first maximum? 3. A thin layer of liquid methylene iodide (n = 1.756) is sandwiched between two flat, parallel plates of glass (n = 1.50) What is the minimum thickness of the liquid layer if normally incident light with = 600 nm in air is to be strongly reflected? 4. A student sets up a double-slit experiment using monochromatic light of wavelength . The distance between the slits is equal to 25. (a) Find the angles at which the m = 1 maximum occurs on the viewing screen. (b) Find the angles at which the m = 2 maximum occurs on the viewing screen. (c) Find the angles at which the m = 3 maximum occurs on the viewing screen. (d) Find the angles at which the m = 3 minimum occurs on the viewing screen.