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Question A. Captain Ahab was sailing in the North Atlantic Ocean when he encountered an iceberg. Being the savvy nautical mind that he was, he wisely steered well clear of the iceberg as he and his mates headed south toward more balmy climes. On his way he decided to retrace the route of the British Fleet during the War of 1812. (Suppose Captain Ahab came after the War of 1812. Apologies to all for any historical or literary inaccuracies.)Captain Ahab eventually sailed into Lake Ontario where, shiver-me-timbers, he encountered an iceberg of precisely the same overall size, shape, and density as the one he encountered before. Did the iceberg also appear precisely the same, or was there a difference in what the good Captain saw? Suppose that density of seawater is greater than that of freshwater.Question B. The ends of two thin glass tubes are stuck in the same pool of water. Although both tubes are thin, one tube has a smaller inside diameter (Tube 1) than the other (Tube 2). Both tubes are made of the same material. Would you expect the level in Tube 1 to be higher or lower than that in Tube 2? Give your answer.
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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