Problem 4: Tsunami (10 pts) Assume that a huge Tsunami has occurred due to a violent earthquake on the ocean-bed. We measured the time between two crests to be 75 minutes for this wave. The speed of this wave is 650 km/h. The behaviour this of wave as it passed through the gaps between continents (which acted as slits for this wave) can be approximately modeled by Haunhofer diffraction. (a) What is the wavelength of this Tsunami? (3 pts) (b) The distance between the southern tip of Australia and northern Antarctica is approximately 3700 km, and the distance between the southern tip of Africa and northern Antarctica is 4500 km. Find the smallest angle away from the central maximum for which the waves would cancel after going through these continental gaps (independently for both the cases). (7 pts)