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A liquid is poured into three vessels of the same base area and equal heights as shown in the figure, then:
1. | The maximum force on the base will be for the vessel \(C.\) |
2. | The maximum force on the base will be for the vessel \(B.\) |
3. | The maximum force on the base will be for the vessel \(A.\) |
4. | Force on the base will be equal for all the vessels. |
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The area of cross-section of the wider tube shown in the figure is \(800~\text{cm}^2.\) If a mass of \(12~\text{kg}\) is placed on the massless piston, then the difference in heights \(h\) of the levels of water in the two tubes will be:
1. | \(10~\text{cm}\) | 2. | \(6~\text{cm}\) |
3. | \(15~\text{cm}\) | 4. | \(2~\text{cm}\) |
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The value of g at a place decreases by 2%. Then, the barometric height of mercury:
1. | increases by 2%. | 2. | decreases by 2%. |
3. | remains unchanged. | 4. | sometimes increases and sometimes decreases. |
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The height of a mercury barometer is \(75 ~\text{cm}\) at sea level and \(50 ~\text{cm}\) at the top of a hill. The ratio of the density of mercury to that of air is \(10^4.\) The height of the hill is:
1. | \(250 ~\text m\) | 2. | \(2.5 ~\text {km}\) |
3. | \(1.25 ~\text {km}\) | 4. | \(750 ~\text m\) |
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A vertical \(\mathrm{U}\)-tube of uniform inner cross-section contains mercury in both its arms. A glycerin (density\(=1.3\) g/cm3) column of length \(10\) cm is introduced into one of its arms. Oil of density \(0.8\) g/cm3 is poured into the other arm until the upper surfaces of the oil and glycerin are at the same horizontal level. The length of the oil column is:
(density of mercury \(=13.6\) g/cm3)
1. \(10.4\) cm
2. \(8.2\) cm
3. \(7.2\) cm
4. \(9.6\) cm
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A barometer kept in a stationary elevator reads \(76 ~\text{cm}.\) If the elevator starts accelerating up, the reading will be:
1. zero
2. equal to \(76 ~\text{cm}\)
3. more than \(76 ~\text{cm}\)
4. less than \(76 ~\text{cm}\)
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There are four cylindrical vessels identical in dimensions. If these are filled with equal masses of four different liquids P, Q, R, and S such that their densities are , then pressure at the base of vessel will be:
1. | 2. | ||
3. | 4. | Data is insufficient to predict the relation |
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Which of the following diagrams does not represent a streamline flow?
1. | 2. | ||
3. | 4. |
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Three liquids of densities \(d,\) \(2d\) and \(3d\) are mixed in equal proportions of weights. The relative density of the mixture is:
1. | \(11d \over 7\) | 2. | \(18d \over 11\) |
3. | \(13d \over 9\) | 4. | \(23d \over 18\) |
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