If the velocity of a wave is 400 m/sec and frequency is 100 Hz, then the wavelength of the wave is _______

Options

A. 6 m
B. 2.8 m
C. 3 m
D. 4 m

Explanation

To find the wavelength of a wave given its velocity and frequency, we can use the formula that relates these quantities:

**Step 1: Write down the known values.**
- Velocity of the wave (V) = 400 m/s
- Frequency of the wave (ν) = 100 Hz

**Step 2: Use the wave equation.**
The relationship between the speed of the wave (V), frequency (ν), and wavelength (λ) is given by the equation:
\[ V = ν \times λ \]

**Step 3: Rearrange the equation to solve for wavelength (λ).**
To find the wavelength, we rearrange the equation:
\[ λ = \frac{V}{ν} \]

**Step 4: Substitute the known values into the equation.**
Now we substitute the values we have:
\[ λ = \frac{400 \, \text{m/s}}{100 \, \text{Hz}} \]

**Step 5: Perform the calculation.**
Calculating this gives:
\[ λ = \frac{400}{100} = 4 \, \text{m} \]

**Final Answer:**
The wavelength of the wave is **4 meters**.

---