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1. An observer stands between two sound sources. Source A is moving away from the observer, and source B is moving toward the observer. Both sources emit sound of the same frequency. If both sources are moving with a speed, vsound/6, what is the ratio of the frequencies detected by the observer?
2. A half-open pipe is constructed to produce a fundamental frequency of 250 Hz when the air temperature is 18 °C. It is used in an overheated building when the temperature is 38 °C. Neglecting thermal expansion in the pipe, what frequency will be heard?
A sphere of radius R is uniformly charged to a total charge of Q. It is made to spin about an axis that passes through its center with an angular speed ω. Find the magnitude of the resulting magnetic field at the center of the sphere.
A resistor is in the shape of a cube, with each side of resistance R . Find the equivalent resistance between any two of its adjacent corners.
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