A piece of ice is floating in a beaker containing thick sugar solution of water. As the ice melts, the total level of he liquid

Options

A. increases
B. decreases
C. remains unchanged
D. insufficent data

Explanation

To solve the problem of determining what happens to the liquid level in a beaker containing a thick sugar solution as a piece of ice melts, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Initial Situation**:
- We have a beaker filled with a thick sugar solution, which has a higher density than water.
- A piece of ice is floating in this sugar solution.

2. **Identify the Densities**:
- The density of ice (ρ_ice) is less than the density of the sugar solution (ρ_solution). This is why the ice is floating.

3. **Consider the Melting of Ice**:
- As the ice melts, it turns into water. The volume of water produced from the melting ice will be equal to the volume of the ice that was submerged in the sugar solution.

4. **Archimedes' Principle**:
- According to Archimedes' principle, the weight of the fluid displaced by the floating ice is equal to the weight of the ice itself.
- When the ice melts, the water produced will occupy the same volume as the volume of the ice that was submerged.

5. **Effect on Liquid Level**:
- As the ice melts, it mixes with the sugar solution. The total volume of the liquid in the beaker will increase because the melted ice (now water) adds to the volume of the sugar solution.
- The sugar solution's density may decrease slightly, but since the ice is less dense than the solution, the overall volume of the liquid will increase.

6. **Conclusion**:
- Therefore, as the ice melts, the total level of the liquid in the beaker will rise.

### Final Answer:
The level of the liquid will **increase** as the ice melts.

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