Four metal balls A, B, C and D having radius of 2.5 cm each are made of copper, aluminium, gold and iron respectively. The densities of copper, aluminium, gold and iron are 8.9 g/cm³, 2.7 g/cm³, 19.3 g/cm³ and 7.8 g/cm³ respectively. When the balls A, B, C and D are tied to threads, suspended from the hook of a spring balance and immersed completely in strong salty water, one by one, the apparent loss in weight will be :
(1) maximum in ball B
(2) maximum in ball C
(3) minimum in ball B
(4) same in all the balls

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Solution

When a body is immersed in a liquid, the apparent loss in the weight of the body occurs due to the Buoyant force acting on it. The buoyant force acts in an upward direction and is equal to the weight of water displaced by the body. All the four balls are of the same size, so they will replace the same amount of water. That's why the apparent loss in weight will be the same for all the balls.

Hence, the correct answer is option 4.

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