The time period of the above wave would be

Options

A. `1//30` s
B. 30 s
C. `1//24`s
D. none of these

Explanation

To find the time period of the wave, we can follow these steps:

### Step-by-Step Solution:

1. **Understand the Definitions**:
- The **time period (T)** of a wave is the time taken for one complete cycle of the wave.
- The **frequency (f)** of a wave is the number of cycles per second.

2. **Relate Time Period and Frequency**:
- The relationship between time period and frequency is given by the formula:
\[ T = \frac{1}{f} \]
- This means that if we know the frequency, we can easily find the time period by taking the reciprocal.

3. **Identify the Frequency**:
- From the video transcript, it is mentioned that the frequency of the wave is given as 30 seconds. However, this seems to be a misunderstanding in the context. Frequency should be in cycles per second (Hz), not in seconds.

4. **Calculate the Time Period**:
- If the frequency is indeed 30 seconds (which is not typical), we would interpret this as the wave completing one cycle in 30 seconds. Thus, the frequency would be:
\[ f = \frac{1 \text{ cycle}}{30 \text{ seconds}} = \frac{1}{30} \text{ Hz} \]
- Now, applying the formula for time period:
\[ T = \frac{1}{f} = \frac{1}{\frac{1}{30}} = 30 \text{ seconds} \]

5. **Select the Correct Option**:
- The options provided were:
1. \( \frac{1}{30} \) seconds
2. 30 seconds
3. \( \frac{1}{24} \) seconds
4. None of these
- Based on our calculation, the correct time period is **30 seconds**, which corresponds to option 2.

### Final Answer:
The time period of the wave would be **30 seconds**.