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Question

When two balls, one of iron and the other of aluminium, are completely immersed in strong salty water, they undergo an equal loss in weight. This shows that iron and aluminium balls have :
(1) the same densities
(2) the same masses
(3) the same volumes
(4) the same weights

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Solution

When a body is immersed in a liquid, it undergoes an apparent weight loss due to an upward buoyant force acting on the body. The buoyant force depends only on the density of the liquid and the weight of the liquid displaced by the body.

In the given case, as both the bodies undergo an equal weight loss, that means they displace the same amount of liquid when immersed. For that, both the ball must have the same volume.

Hence, the correct answer is option 3.

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