Consider the motion of the tip of the second hand of a clock. In one minute (R be the length of second hand), its

Options

A. Displacement is `2piR`
B. Distance covered is 2R
C. Displacement is zero
D. Distance covered is zero

Answer

To solve the problem regarding the motion of the tip of the second hand of a clock, we will analyze the motion in terms of distance traveled and displacement.

### Step-by-Step Solution:

1. **Understanding the Motion**:
- The second hand of a clock completes one full revolution in one minute (60 seconds).
- This means it moves through an angle of 360 degrees in that time.

2. **Calculating the Distance Traveled**:
- The path traced by the tip of the second hand is a circular path.
- The distance traveled by the tip of the second hand in one complete revolution is equal to the circumference of the circle.
- The formula for the circumference \( C \) of a circle is given by:
\[ C = 2\pi r \]
- Here, \( r \) is the length of the second hand.

3. **Calculating the Displacement**:
- Displacement is defined as the shortest distance from the initial position to the final position.
- Since the second hand returns to its starting point after one complete revolution, the initial and final positions are the same.
- Therefore, the displacement is:
\[ \text{Displacement} = 0 \]

4. **Summarizing the Results**:
- The distance traveled by the tip of the second hand in one minute is \( 2\pi r \).
- The displacement of the tip of the second hand in one minute is \( 0 \).

### Final Answers:
- **Distance Traveled**: \( 2\pi r \)
- **Displacement**: \( 0 \)