Two bodies are in equilibrium when suspended in water from the arms of a balance. The mass of one body is \(36\) g and its density is \(9\) g/cm3. If the mass of the other is \(48\) g, its density in g/cm3 will be:
1.
2.
3. \(3\)
4. \(5\)
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 triangular lamina of area A and height h is immersed in a liquid of density in a vertical plane with its base on the surface of the liquid. The thrust on the lamina is:
1.
2.
3.
4.
For the figures given below, the correct observation is:
1. | pressure at the bottom of the tank (a) is greater than at the bottom of the tank (b). |
2. | pressure at the bottom of the tank (a) is lesser than at the bottom of (b). |
3. | pressure depends upon the shape of the container. |
4. | pressure at the bottom of (a) and (b) are the same. |
An iceberg of density 900 kg/ is floating in water of density 1000 Kg/. The percentage of volume of ice-cube outside the water is:
1. 20%
2. 35%
3. 10%
4. 25%
A hemispherical bowl just floats without sinking in a liquid of density . If the outer diameter and the density of the material of the bowl are 1 m and respectively, then the inner diameter of the bowl will be:
1. 0.94 m
2. 0.97 m
3. 0.98 m
4. 0.99 m
A concrete sphere of radius R has a cavity of radius r which is packed with sawdust. The specific gravities of concrete and sawdust are respectively 2.4 and 0.3. For this sphere to float with its entire volume submerged underwater, the ratio of mass of concrete to mass of sawdust will be:
1. | 8 | 2. | 4 |
3. | 3 | 4. | Zero |
A solid sphere of density ( > 1) times lighter than water is suspended in a water tank by a string tied to its base as shown in fig. If the mass of the sphere is m, then the tension in the string is given by:
1.
2.
3.
4.
A boat carrying steel balls is floating on the surface of water in a tank. If the balls are thrown into the tank one by one, how will it affect the level of water?
1. | It will remain unchanged |
2. | It will rise |
3. | It will fall |
4. | First it will first rise and then fall |
A candle of diameter d is floating on a liquid in a cylindrical container of diameter D (D>>d) as shown in figure. If it is burning at the rate of 2cm/hour then the top of the candle will:
1. | Remain at the same height |
2. | Fall at the rate of 1 cm/hour |
3. | Fall at the rate of 2 cm/hour |
4. | Go up at the rate of 1cm/hour |