Densities of four liquids A, B, C and D are given below :
| Liquid | A | B | C | D |
|---|---|---|---|---|
| Density (kg/m3) | 785 | 820 | 924 | 1020 |
Based on this information, identify the correct statement from the following :
Correct Answer :
An object that floats in liquid C may or may not float in liquid A.
Solution :
Correct Option: An object that floats in liquid C may or may not float in liquid A.
Explanation:
According to the principle of flotation, an object will float in a liquid if its average density is less than or equal to the density of the liquid.
From the given table, the densities of the four liquids are:
Density of Liquid A = 785 kg/m3
Density of Liquid B = 820 kg/m3
Density of Liquid C = 924 kg/m3
Density of Liquid D = 1020 kg/m3
Let us analyze the correct statement:
If an object floats in liquid C, its density must be less than or equal to 924 kg/m3 (Densityobject ≤ 924 kg/m3).
Now, consider liquid A, which has a density of 785 kg/m3:
1. If the object's density is 750 kg/m3, it is less than 924 kg/m3 (so it floats in C) and also less than 785 kg/m3, meaning it will float in liquid A.
2. If the object's density is 850 kg/m3, it is less than 924 kg/m3 (so it floats in C) but greater than 785 kg/m3, meaning it will not float (it will sink) in liquid A.
Therefore, an object that floats in liquid C may or may not float in liquid A, depending on its specific density relative to 785 kg/m3.
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