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A man strikes a long aluminum rod at one end. Another man, at the other end with his ear close to the rod, hears the sound of the blow twice (once through the air and once through the rod), with a 146.0 ms interval between them. How long is the rod? Take the speed of sound to be 343 m/s in air and 6420 m/s in aluminum.

A certain crude oil has an index of refraction of 1.27. A ship dumps 1.14 m3 of this oil into the ocean, and the oil spreads into a thin uniform slick. If the film produces a first-order maximum of light of wavelength 517 nm normally incident on it, how much surface area of the ocean does the oil slick cover? Assume that the index of refraction of the ocean water is 1.34.

A beam of green light is diffracted by a slit with a width of 0.520 mm. The diffraction pattern forms on a wall 2.40 m beyond the slit. The distance between the positions of zero intensity on both sides of the central bright fringe is 4.44 mm. Calculate the wavelength of the laser light.

A stretched wire vibrates in its first normal mode at a frequency of 439Hz. What would be the fundamental frequency if the wire were half as long, its diameter were doubled, and its tension were increased four-fold?

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