If wavelength of a wave is 100 m, then 100 waves will cover ________ distanc

Options

A. 10 km
B. 1 km
C. 100 km
D. 100 m

Explanation

To solve the question, we need to determine the total distance covered by 100 waves when the wavelength of each wave is given as 100 meters.

### Step-by-Step Solution:

1. **Understand the Concept of Wavelength**:
- The wavelength (λ) is the distance between two consecutive points of a wave that are in phase (e.g., crest to crest or trough to trough). In this case, the wavelength is given as 100 meters.

2. **Identify the Number of Waves**:
- We are given that there are 100 waves.

3. **Calculate the Total Distance Covered**:
- The distance covered by one wave is equal to its wavelength (λ). Therefore, if we have 100 waves, the total distance (D) covered by these waves can be calculated using the formula:
\[ D = n \times \lambda \]
where \( n \) is the number of waves and \( \lambda \) is the wavelength.

4. **Substitute the Values**:
- Here, \( n = 100 \) and \( \lambda = 100 \, \text{m} \).
- Substituting these values into the formula gives:
\[ D = 100 \times 100 \, \text{m} = 10,000 \, \text{m} \]

5. **Convert the Distance to Kilometers**:
- Since 1 kilometer (km) is equal to 1000 meters (m), we can convert the distance from meters to kilometers:
\[ D = \frac{10,000 \, \text{m}}{1000} = 10 \, \text{km} \]

6. **Final Answer**:
- Therefore, the total distance covered by 100 waves is **10 km**.

### Summary:
The total distance covered by 100 waves with a wavelength of 100 meters is **10 km**.

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