Assertion : If ice is floating in water and it melts, then level of water remains unchanged.
Reason : When the ice is floating, weight of liquid displaced is equal to the weight of ice.

Options

A. If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
B. If both Assertion and Reason are true but Reason is not the correct explanation of Assertion.
C. If Assertion is true but Reason is false.
D. If Assertion is false but Reason is true.

Explanation

To solve the question, we need to analyze the assertion and the reason provided.

### Step 1: Understanding the Assertion
The assertion states that if ice is floating in water and it melts, then the level of water remains unchanged.

### Step 2: Analyzing the Situation
When ice is floating, it displaces a certain volume of water equal to the weight of the ice. This is due to Archimedes' principle, which states that the buoyant force (upthrust) on the ice is equal to the weight of the water displaced.

### Step 3: Weight and Volume Relationship
Let’s denote:
- \( m \) = mass of the ice
- \( \rho_w \) = density of water
- \( V_i \) = volume of the ice submerged in water

According to Archimedes' principle:
\[ \text{Weight of ice} = \text{Weight of water displaced} \]
This can be expressed as:
\[ mg = V_i \cdot \rho_w \cdot g \]
Here, \( g \) cancels out, leading to:
\[ m = V_i \cdot \rho_w \]

### Step 4: Ice Melting
When the ice melts, it turns into water. The mass of the melted ice will still be \( m \), but now we need to find the volume of the water produced from the melted ice.

Using the density of water (\( \rho_w \)):
\[ V = \frac{m}{\rho_w} \]

### Step 5: Comparing Volumes
From the previous steps, we have:
1. Volume of ice submerged in water before melting: \( V_i = \frac{m}{\rho_w} \)
2. Volume of water produced after melting: \( V = \frac{m}{\rho_w} \)

Since both volumes are equal, the volume of water displaced by the ice before it melts is the same as the volume of water produced after it melts.

### Step 6: Conclusion
Therefore, the level of water remains unchanged when the ice melts because the volume of water produced from the melted ice equals the volume of water displaced by the floating ice.

### Final Answer
Both the assertion and the reason are true, but the reason is not the correct explanation of the assertion.