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Question
Three objects 1, 2, and 3 of the same size and shape but different materials are placed in water and dip to different depths (Fig. 5.17). If their weights are w1, w2, and w3, then which is correct? (i) w1 = w2 = w3, (ii) w1 > w2 > w3, (iii) w2 > w3 > w1, (iv) w3 > w1 > w2.
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Answer
(ii) w1 > w2 > w3.
Explanation
- The deeper an object of the same size dips, the more liquid it displaces and the heavier it is.
- From Fig. 5.17, object 1 dips most, then 2, then 3 dips least.
- So their weights are in the order w1 > w2 > w3.
The object that dips deepest is the heaviest, giving w1 > w2 > w3.
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