Which of the following is correct ?

Options

A. Microscopic particle shows appreciable dual nature.
B. Electron shows only wave nature.
C. Electron shows only particle nature.
D. Electron shows wave nature as well as particle nature.

Explanation

To determine which statements about the dual nature of radiation and matter are correct or incorrect, we need to analyze the nature of microscopic particles, particularly electrons. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the Concept of Dual Nature
- **Dual Nature**: This refers to the concept that particles, such as electrons, exhibit both wave-like and particle-like properties. This is a fundamental principle in quantum mechanics.

### Step 2: Analyze the First Statement
- **Statement**: "Microscopic particles show appreciable dual nature."
- **Explanation**: This statement is correct. Microscopic particles, such as electrons, can exhibit both wave and particle characteristics. The wave nature becomes significant at the microscopic scale.

### Step 3: Analyze the Second Statement
- **Statement**: "Electron shows only wave nature."
- **Explanation**: This statement is incorrect. Electrons do not exhibit only wave nature; they also exhibit particle nature. Both characteristics are observed depending on the experimental conditions.

### Step 4: Analyze the Third Statement
- **Statement**: "Electron shows only particle nature."
- **Explanation**: This statement is also incorrect. While electrons can be observed as particles, they also exhibit wave-like behavior, particularly at high speeds.

### Step 5: Analyze the Fourth Statement
- **Statement**: "Electron shows wave nature as well as particle nature."
- **Explanation**: This statement is correct. Electrons demonstrate both wave and particle properties, which is a key aspect of their behavior in quantum mechanics.

### Conclusion
- The correct statements are:
1. Microscopic particles show appreciable dual nature (Correct).
2. Electron shows only wave nature (Incorrect).
3. Electron shows only particle nature (Incorrect).
4. Electron shows wave nature as well as particle nature (Correct).

### Final Answer
- The statements that are correct are: "Microscopic particles show appreciable dual nature" and "Electron shows wave nature as well as particle nature."