Q. No.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. | \(23d \over 18\) |
(Take \(g=10~\text{ms}^{-2}\))
1. \(2\times10^3~\text{kg}\)
2. \(3\times10^4~\text{kg}\)
3. \(5\times10^4~\text{kg}\)
4. \(7\times10^4~\text{kg}\)
A liquid is filled in a container as shown in the figure. The force exerted by the liquid on the base of the container must be:
| 1. | Equal to the weight of the liquid |
| 2. | More than the weight of the liquid |
| 3. | Less than the weight of the liquid |
| 4. | More or less than the weight of the liquid |
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 |
| 1. | The coefficient of viscosity is a scalar quantity. |
| 2. | Surface tension is a scalar quantity. |
| 3. | Pressure is a vector quantity. |
| 4. | Relative density is a scalar quantity. |
A diver is \(10\) m below the surface of the water. The approximate pressure experienced by the diver is:
1. \(10^5\) Pa
2. \(2\times10^5\) Pa
3. \(3\times10^5\) Pa
4. \(4\times 10^5\) Pa
A U tube is partially filled with water. Oil which is immiscible in water is poured into one side until the water rises by 25 cm on the other side. If the oil level is 12.5 cm higher than the water level, then the relative density of the oil is:
1. 0.3
2. 0.5
3. 0.8
4. 1.2
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 heart of a man pumps 5 L of blood through the arteries per minute at a pressure of 150 mm of mercury. If the density of mercury is \(13.6\times 10^3\)kg/m3 and g =10 m/s2, then the power of heart in watt is:
1. 1.70
2. 2.35
3. 3.0
4. 1.50
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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