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Question

A sphere of iron and another of wood, both of same radius are placed on the surface of water. State which of the two will sink? Give reason to your answer.

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Answer

When a sphere of iron and wood are placed in water then the sphere of iron will sink.

The reason is that ρiron > ρwater, so the weight of iron sphere will be more than upthrust due to water on it. But ρwood < ρwater, so sphere of wood will float will it’s that much volume submerged inside water by which upthrust due to water on it balances it’s weight.

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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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