Consider the motion of the tip of the minute hand of a clock. In one hour

Options

A. the displacement is zero
B. the distance covered is zero
C. the average speed is zero
D. the average velocity is zero

Answer

To solve the problem regarding the motion of the tip of the minute hand of a clock in one hour, we can break it down into the following steps:

### Step 1: Understand the Motion
The minute hand of a clock completes one full rotation in one hour. This means it moves in a circular path.

### Step 2: Calculate the Displacement
Displacement is defined as the shortest distance from the initial position to the final position. Since the minute hand returns to its starting point after one hour, the displacement is:
- **Displacement = 0** (because the initial and final positions are the same).

### Step 3: Calculate the Distance Covered
The distance covered by the tip of the minute hand is the length of the circular path it travels. The distance can be calculated using the formula for the circumference of a circle:
- **Distance = Circumference = 2πr**, where r is the radius of the circular path.

### Step 4: Calculate the Average Speed
Average speed is defined as the total distance covered divided by the total time taken. Since the distance covered is \(2πr\) and the time taken is 1 hour (or 3600 seconds):
- **Average Speed = Total Distance / Total Time = (2πr) / 3600 seconds**.
This value is not zero.

### Step 5: Calculate the Average Velocity
Average velocity is defined as the total displacement divided by the total time taken. Since the displacement is zero:
- **Average Velocity = Displacement / Time = 0 / 3600 seconds = 0**.

### Conclusion
1. Displacement is **0**.
2. Distance covered is **2πr** (not zero).
3. Average speed is **(2πr) / 3600 seconds** (not zero).
4. Average velocity is **0**.

Thus, the correct statements are:
- Displacement is zero (correct).
- Distance covered is not zero (incorrect).
- Average speed is not zero (incorrect).
- Average velocity is zero (correct).