The relative densities of four liquids P,Q,R and S are 1.26,1.0,0.84 and 13.6 respectively an object is floated in all these liquids one by one in which liquid the object will float with its maximum volume submerged under the liquid?

Options

A. P
B. Q
C. R
D. S

Answer

To determine in which liquid the object will float with its maximum volume submerged, we need to analyze the relative densities of the liquids and understand how buoyant force works.

### Step-by-Step Solution:

1. **Understanding Relative Density**:
Relative density (or specific gravity) is the ratio of the density of a substance to the density of a reference substance (usually water). It indicates how heavy a substance is compared to water.

2. **Given Relative Densities**:
- Liquid P: 1.26
- Liquid Q: 1.0
- Liquid R: 0.84
- Liquid S: 13.6

3. **Buoyant Force Concept**:
The buoyant force acting on an object submerged in a fluid is equal to the weight of the fluid displaced by the object. The greater the density of the liquid, the greater the buoyant force.

4. **Determining Maximum Submersion**:
An object will float with the maximum volume submerged in the liquid with the lowest relative density. This is because a lower relative density means a lower buoyant force acting on the object, allowing it to displace more liquid and thus submerge more.

5. **Comparing Relative Densities**:
- The lowest relative density among the liquids is that of liquid R (0.84).
- The other liquids have higher relative densities: P (1.26), Q (1.0), and S (13.6).

6. **Conclusion**:
Since liquid R has the lowest relative density, the object will float with its maximum volume submerged in liquid R.

### Final Answer:
The object will float with its maximum volume submerged in liquid R (relative density 0.84).

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