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. |
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. | \(2~\text{cm}\) |
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. |
The height of a mercury barometer is 75 cm at sea level and 50 cm at the top of a hill. The ratio of density of mercury to that of air is . The height of the hill is:
1. | 250 m | 2. | 2.5 km |
3. | 1.25 km | 4. | 750 m |
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
A barometer kept in a stationary elevator reads 76 cm. If the elevator starts accelerating up, the reading will be:
1. | zero. | 2. | equal to 76 cm. |
3. | more than 76 cm. | 4. | less than 76 cm. |
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 |
Which of the following diagrams does not represent a streamline flow?
1. | 2. | ||
3. | 4. |
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. | \(23d \over 18\) |