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Q1. A wire of mass 1 g and length 58 cm is stretched with a tension of 480 N. it is then placed near the open end of the tube and stroked with a violin bow so that it oscillates at its fundamental frequency. The water level in the tube is then lowered until a resonance is obtained, which occurs at 20 cm below the top of tube. Find the speed of sound in air. Respond in units of m/s.
Q2. An airplane starting from airport A flies 280 km east, then 365 km at 29.0° west of north, and then 130 km north to arrive finally at airport B.
The next day, another plane flies straight from A to airport B in a straight line. In what direction have to the pilot travel in this direct flight? (Suppose there is no wind during these flights.)
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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