Mark the correct statements:

Options

A. The magnitude of the velocity of a particle is equal to its speed.
B. The magnitude of average velocity in an interval is equal to its average speed in that interval.
C. It is possible to have a situation in which the speed of a particle is always zero but the average speed is not zero.
D. It is possible to have a situation in which the speed of the particle is never zero but the average speed in an interval is zero.

Explanation

To solve the question regarding the correct statements about velocity and speed, let's analyze each option step by step.

### Step 1: Analyze Option 1
**Statement:** The magnitude of the velocity of the particle is equal to the speed of the particle.

**Explanation:**
- Velocity is a vector quantity that has both magnitude and direction.
- Speed is a scalar quantity that only has magnitude.
- The magnitude of velocity is indeed equal to speed.

**Conclusion:** This statement is **correct**.

### Step 2: Analyze Option 2
**Statement:** The magnitude of the average velocity is equal to the average speed of the particle in an interval.

**Explanation:**
- Average velocity is defined as the total displacement divided by the total time taken.
- Average speed is defined as the total distance traveled divided by the total time taken.
- These two quantities can be equal only when the motion is in a straight line without changing direction. In general, they are not equal.

**Conclusion:** This statement is **incorrect**.

### Step 3: Analyze Option 3
**Statement:** It is possible to have a situation in which the speed of the particle is always 0 but the average speed is not 0.

**Explanation:**
- If the speed of a particle is always 0, it means the particle is at rest and not moving.
- Therefore, the average speed, which is the total distance traveled divided by total time, must also be 0 since no distance is covered.

**Conclusion:** This statement is **incorrect**.

### Step 4: Analyze Option 4
**Statement:** It is possible to have a situation in which the speed of the particle is never 0 but the average speed in that interval is 0.

**Explanation:**
- If the speed of the particle is never 0, it means the particle is always moving.
- Average speed can only be 0 if the total distance covered is 0, which cannot happen if the particle is always moving.

**Conclusion:** This statement is **incorrect**.

### Final Summary of Statements
- **Option 1:** Correct
- **Option 2:** Incorrect
- **Option 3:** Incorrect
- **Option 4:** Incorrect

### Final Answer
The only correct statement is **Option 1**.

---