By inserting a capillary tube into a depht l in water, the water rises to a height h. If the lower end of the capillary is closed inside water and the capillary is closed inside water and the capillaryis taken out and closed and opened, to what height the water will remain in the tube ? Here `l gt h`

Options

A. zero
B. `l +H`
C. 2 h
D. h

Explanation

To solve the problem step by step, we need to analyze the situation described in the question:

### Step 1: Understand the Initial Condition
When the capillary tube is inserted into the water to a depth \( L \), the water rises to a height \( h \) due to capillary action. This phenomenon occurs because of the surface tension of the water, which allows it to rise against gravity in narrow spaces.

**Hint:** Remember that the height \( h \) is determined by the balance of forces acting on the water column inside the capillary tube.

### Step 2: Analyze the Situation After Closing the Tube
Once the lower end of the capillary tube is closed while it is still submerged in water, the water inside the tube is held by the surface tension and the atmospheric pressure acting on the water surface outside the tube.

**Hint:** Consider how closing the tube affects the pressure balance inside and outside the tube.

### Step 3: Remove the Capillary Tube
When the capillary tube is removed from the water while still closed, the water inside the tube will remain at the height \( h \) due to the surface tension and the fact that the tube is sealed. The weight of the water column inside the tube is balanced by the surface tension forces.

**Hint:** Think about how the weight of the water column and the surface tension interact when the tube is closed.

### Step 4: Open the Capillary Tube
When the capillary tube is opened after being removed from the water, the water will not fall out immediately. The height of the water column will remain at \( h \) due to the same balance of forces that existed when the tube was closed.

**Hint:** The water will stay at the height \( h \) because the surface tension continues to act on the water column, preventing it from falling.

### Final Conclusion
Thus, the height of the water in the capillary tube after it has been closed, removed, and then opened will remain at \( h \).

**Answer:** The water will remain at a height \( h \).