Frequency of a wave travelling from source to receiver is 200 Hz. If the speed of sound wave is 100 m/s.Wavelength of wave is;

1. Break Down the Problem

To find the wavelength of a wave, we can use the relationship between speed, frequency, and wavelength described by the formula: $v = f \cdot \lambda$ where:

• $v$ is the speed of the wave,
• $f$ is the frequency of the wave, and
• $\lambda$ is the wavelength.

2. Relevant Concepts

Given:

• Frequency, $f = 200 \, \text{Hz}$
• Speed of sound wave, $v = 100 \, \text{m/s}$

We need to find the wavelength $\lambda$.

3. Analysis and Detail

Rearranging the formula to solve for wavelength: $\lambda = \frac{v}{f}$

Substituting the values into the equation: $\lambda = \frac{100 \, \text{m/s}}{200 \, \text{Hz}}$

4. Verify and Summarize

Calculating the wavelength: $\lambda = \frac{100}{200} = 0.5 \, \text{m}$

Final Answer

The wavelength of the wave is $0.5 \, \text{meters}$.