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Question

Complete the following sentences — (a) Two balls, one of iron and the other of aluminum experience the same upthrust when dipped completely in water if …………… . (b) An empty tin container with it’s mouth closed has an average density equal to that of a liquid. The container is taken 2m below the surface of that liquid and is left there. Then the container will …………… . (c) A piece of wood is held under water. The upthrust on it will be …………… the weight of the wood piece.

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Answer

(a) Two balls, one of iron and the other of aluminium experience the same upthrust when dipped completely in water if both have equal volumes.

(b) An empty tin container with it’s mouth closed has an average density equal to that of a liquid. The container is taken 2m below the surface of that liquid and is left there. Then the container will remain at the same position.

(c) A piece of wood is held under water. The upthrust on it will be more than the weight of the wood piece.

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A weather forecasting plastic balloon of volume 15 m3 contains hydrogen of density 0.09 kg m-3. The volume of an equipment carried by the balloon is negligible compared to it’s own volume. The mass of the empty balloon alone is 7.15 kg. The balloon is floating in air of density 1.3 kg m-3. Calculate : (i) the mass of hydrogen in the balloon, (ii) the mass of hydrogen and balloon, (iii) the total mass of hydrogen, balloon and equipment if the mass of equipment is x kg, (iv) the mass of air displaced by balloon and (v) the mass of equipment using the law of floatation.

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