A boat floating in a tank is carrying passengers. If the passengers drink water, the water level of the tank

Options

A. rises
B. falls
C. remains unchanged
D. depends upon the atmospheric pressure

Explanation

To solve the problem, we need to analyze the situation of the boat, the passengers, and the water level in the tank before and after the passengers drink water.

### Step-by-Step Solution:

1. **Understand the Initial Situation**:
- A boat is floating in a tank filled with water. The boat carries passengers, and the weight of the boat and passengers displaces a certain volume of water in the tank.

2. **Determine the Initial Water Level**:
- The water level in the tank is determined by the weight of the boat and the passengers. According to Archimedes' principle, the weight of the water displaced by the boat is equal to the total weight of the boat and the passengers.

3. **Passengers Drink Water**:
- When the passengers drink water, they are consuming water that is already in the tank. This does not change the total amount of water in the tank; it simply changes the distribution of weight.

4. **Analyze the Effect of Drinking Water**:
- The weight of the passengers remains the same before and after they drink the water. The water they drink is now part of their weight, but it does not add any additional weight to the system because it is water from the tank.

5. **Calculate the Change in Water Displacement**:
- Initially, the water displaced is equal to the weight of the boat plus the weight of the passengers. After drinking the water, the total weight (boat + passengers) remains unchanged, so the amount of water displaced also remains unchanged.

6. **Conclusion on Water Level**:
- Since the total weight of the system (boat + passengers) does not change, the water level in the tank remains unchanged.

### Final Answer:
The water level of the tank remains unchanged when the passengers drink water.

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