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Consider two mercury barometers, one with twice the height of the other. Mercury level in the smaller tube will rise twice as high.            four times as high.      to the same height.         more than four times as high

Question

Consider two mercury barometers, one with twice the height of the other. Mercury level in the smaller tube will rise twice as high.            four times as high.      to the same height.         more than four times as high

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Solution

to the same height.

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Mercury is poured into a U-tube as shown in Figure a. The left arm of the tube has cross-sectional area A1 of 10.9 cm2, and the right arm has a cross-sectional area A2 of 5.20 cm2. Two hundred grams of water are then poured into the right arm as shown in Figure b.Figure (a) shows a U-shaped tube filled with mercury. Both arms of the U-shaped tube are vertical. The left arm with cross-sectional area A1 is wider than the right arm with cross-sectional area A2. The height of the mercury is the same in both arms. Figure (b) shows the same U-shaped tube, but now most of the right arm is filled with water. The height of the column of water in the right arm is much greater than the height of the column of mercury in the left arm. The height of the mercury in the left arm is greater than the height of the mercury in the arms in Figure (a), and the difference in height is labeled h.(a) Determine the length of the water column in the right arm of the U-tube. cm(b) Given that the density of mercury is 13.6 g/cm3, what distance h does the mercury rise in the left arm? Your response differs from the correct answer by more than 100%. cm

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