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In: Physics

1.If 103 Kg cube of aluminum is placed in a tank. Water is first added to...

1.If 103 Kg cube of aluminum is placed in a tank.
Water is first added to the tank until half the cube is immersed. How deep a layer of mercury must be poured into the tank such that the apparent weight of the block vanishes. [3 points] [ρwater = 103 Kg/m3, ρAl = 2.7 * 103 Kg/m3, ρHg = 13.6 * 103 Kg/m3]

2. A whistle emitting a sound of frequency 440 Hz is tied to a string of length 1.5 m and rotated with an angular velocity of 20 rad/s in a horizontal plane. Calculate the range of the frequencies heard by an observer stationed at a large distance from the whistle, given the speed of sound is 330 m/s.

3. A cylindrical tube, open at both ends, has a fundamental frequency f in air. The tube is dipped vertically in water so that half of its length is in water. The new fundamental frequency of air column in the tube is:

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