Select incorrect options.

Options

A. Magnitude of instantaneous velocity is same as the instantaneous speed of the particle .
B. Magnitude of average velocity in an interval of time is same as the average speed of the particle in same interval .
C. If speed of the particle is always zero in a time interval, then it is possible that average speed is not zero in the same interval.
D. If speed of the particle is never zero in a time interval, then it is possible that average speed is zero in the same interval.

Explanation

To solve the question of selecting the incorrect options regarding instantaneous velocity, average velocity, and average speed, we will analyze each statement step by step.

### Step-by-Step Solution:

1. **Understanding Instantaneous Velocity and Speed:**
- **Statement A:** "Magnitude of instantaneous velocity is the same as the instantaneous speed of the particle."
- **Analysis:** Instantaneous velocity is a vector quantity that includes both magnitude and direction, while instantaneous speed is a scalar quantity that only considers magnitude. Therefore, the magnitude of instantaneous velocity is equal to instantaneous speed.
- **Conclusion:** This statement is **correct**.

2. **Understanding Average Velocity and Average Speed:**
- **Statement B:** "Magnitude of average velocity in an interval of time is the same as the average speed of the particle in the same interval."
- **Analysis:** Average velocity is defined as the total displacement divided by the total time, while average speed is the total distance traveled divided by the total time. In cases of circular motion or when the object returns to its starting point, the average velocity can be zero while the average speed is not.
- **Conclusion:** This statement is **incorrect**.

3. **Average Speed and Zero Speed:**
- **Statement C:** "If speed of the particle is always 0 in a time interval, then it is possible that average speed is not 0 in the same interval."
- **Analysis:** If the speed is always 0, it means the particle is not moving at all. Therefore, the average speed, which is the total distance traveled divided by the total time, will also be 0.
- **Conclusion:** This statement is **incorrect**.

4. **Speed and Average Speed:**
- **Statement D:** "Speed of the particle is never 0 in a time interval. Then it is possible that average speed is 0 in the same interval."
- **Analysis:** If the speed of the particle is never 0, it means the particle is always in motion. Thus, the average speed cannot be 0 because it is based on the distance traveled.
- **Conclusion:** This statement is **incorrect**.

### Final Conclusion:
The incorrect options are:
- Statement B: "Magnitude of average velocity in an interval of time is the same as the average speed of the particle in the same interval."
- Statement C: "If speed of the particle is always 0 in a time interval, then it is possible that average speed is not 0 in the same interval."
- Statement D: "Speed of particle is never 0 in a time interval. Then it is possible that average speed is 0 in the same interval."