Which of the following conditions verify the principle of flotation?

W = V_{2} - V_{1}

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W > V_{2} - V_{1}

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W < V_{2} - V_{1}

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All of the above

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Solution

The correct option is A $W = V_{2} - V_{1}$
When an object is immersed in water $V_{2}$ represents the volume of water before the object is immersed and $V_{1}$ represents the volume of water after the object is immersed. The object floats in water and the difference between $V_{2}$ and $V_{1}$ is calculated and is found to be equal to the dry weight of the object. Since the density of water is $1 g / {c m}^{3}$ , the rise in the volume i.e. the difference between the final and the initial is equal to the weight of the object immersed in it. This condition verifies the principle of floatation.

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