A plate with a hole is heated. The diameter of the hole

Options

A. increases
B. does not change
C. first increases and then decreases
D. first decreases and then increases

Answer

### Step-by-Step Solution:

1. **Understanding the Problem**: We have a plate with a circular hole in it. When the plate is heated, we need to determine what happens to the diameter of the hole.

2. **Concept of Thermal Expansion**: When materials are heated, they tend to expand. This is known as thermal expansion. It occurs in all dimensions of the material, including length, width, and height.

3. **Uniform Expansion**: The plate will expand uniformly in all directions when heated. This means that every part of the plate, including the edges of the hole, will expand.

4. **Effect on the Hole**: As the plate expands, the hole does not just remain the same size. Instead, the hole itself will also expand. This is because the material surrounding the hole is expanding outward.

5. **Conclusion**: Therefore, as the temperature of the plate increases, the diameter of the hole will also increase.

### Final Answer:
The diameter of the hole will increase when the plate is heated.

---