1) a) (4pts) Derive the speed of a wave on a string. b) (3 pts) If a wire is held rigidly on both ends, derive the pattern of al
lowed wavelengths for standing waves. c) (3 pts) A large, heavy solid steel object hangs at the bottom of a steel wire of negligible mass. The top end of the wire is fixed. The bottom end is effectively fixed due to the inertia of the heavy object. When the wire is struck, it emits a sound with a fundamental frequency of 300 Hz. The steel object is then submerged in water so that two thirds of its volume is below the water line. Determine the new fundamental frequency
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