1. Two radio antennas separated by d= 300 m, simultaneously broadcast identical signals at the same wavelength. A car travels due north along a straight line at position x= 1000 m from the center point between the antennas, and its radio receives the signals.
a) If the car is at the position of the third maximum after that at point O when it has traveled a distance of y = 400 m northward, what is the wavelength of the signals?
(b) How much farther must the car travel to encounter the next minimum in reception? (Hint: Determine the path difference between the two signals at the two locations of the car.)
2. Two sources produce coherent light waves that come together at a detector located 3.60000 mm from one source and 3.60190 mm from the other. If the two waves interfere destructively, what is the longest possible value for the wavelength? Assume the light is visible light (400-700 nm) and keep three significant figures in your calculation.
3. A doorway acts as a single slit for light that passes through it, but a doorway is much larger than the wavelength of visible light, so the diffraction angles are very small.
a) Find the angle of the 13th diffraction minimum for a typical doorway if light from a blue laser pointer (? = 473 nm) were used. Estimate the width of the doorway.
b) Find the angle of the 13th diffraction minimum.