The time taken by the bob of a simple pendulum of time period (T) to move from one exrtreme positon to other extreme position is equal to _____

Answer

To solve the problem, we need to determine the time taken by the bob of a simple pendulum to move from one extreme position to the other extreme position.

### Step-by-Step Solution:

1. **Understand the Concept of Time Period (T)**:
The time period (T) of a simple pendulum is the time taken to complete one full oscillation (from one extreme position to the other extreme position and back).

2. **Identify the Movement**:
When the pendulum moves from one extreme position to the other extreme position, it covers half of its complete oscillation.

3. **Relate Time Taken to Time Period**:
Since the time period (T) represents the time for a complete cycle (from one extreme to the other and back), the time taken to move from one extreme position to the other extreme position is half of the time period.

4. **Calculate the Time Taken**:
Therefore, the time taken by the bob to move from one extreme position to the other extreme position is:
\[ \text{Time taken} = \frac{T}{2} \]

### Final Answer:
The time taken by the bob of a simple pendulum of time period (T) to move from one extreme position to the other extreme position is equal to **\(\frac{T}{2}\)**.

---