Assertion: Electron has higher mobility than hole in a semiconductor.
Reason: Mass of electron is less than the mass of hole.

Options

A. If both the assertion and reason are true and reason is a true explantion of the assertion.
B. If both the assertion and reason are true but the reason is not true the correct explantion of the assertion.
C. If the assertion is true but reason false
D. If both the assertion and reason are false.

Explanation

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

### Step 1: Understand the Assertion
The assertion states that "Electron has higher mobility than hole in a semiconductor." Mobility (μ) is defined as the ability of charge carriers (electrons and holes) to move through a semiconductor material when an electric field is applied.

**Hint:** Recall the definition of mobility and its significance in semiconductors.

### Step 2: Understand the Reason
The reason given is that "Mass of electron is less than the mass of hole." This implies that the electron, being lighter, can accelerate more easily under the influence of an electric field compared to the heavier hole.

**Hint:** Consider how mass affects acceleration when a force (in this case, the electric field) is applied.

### Step 3: Relate Mobility to Mass
Mobility is inversely related to mass. The equation for mobility can be expressed as:
\[ \mu = \frac{q \cdot \tau}{m} \]
where \( q \) is the charge, \( \tau \) is the average time between collisions, and \( m \) is the mass of the charge carrier. Since the electron has a smaller mass than the hole, it will have higher mobility.

**Hint:** Think about the relationship between mass and acceleration in Newton's second law \( F = ma \).

### Step 4: Conclusion
Since both the assertion and the reason are true, and the reason correctly explains why the assertion is true, we can conclude that both statements are valid.

**Final Answer:** Both the assertion and the reason are true, and the reason explains the assertion.

### Summary of Steps:
1. Understand the concept of mobility in semiconductors.
2. Analyze how mass affects the mobility of charge carriers.
3. Relate the assertion and reason to conclude their validity.