Suppose a wave on a string is travelling at 200200 m/s right and has a frequency of 100100 Hz.What is the wavelength of such a wave in metres?

1. ### Break Down the Problem

To find the wavelength ($\lambda$) of the wave, we can use the relationship between wave speed ($v$), frequency ($f$), and wavelength. The formula that connects these quantities is given by:

$v = f \cdot \lambda$

Where:

• $v$ = wave speed
• $f$ = frequency
• $\lambda$ = wavelength

We need to rearrange this formula to solve for wavelength:

$\lambda = \frac{v}{f}$

2. ### Relevant Concepts

We have the following information from the problem:

• $v = 200200 \, \text{m/s}$
• $f = 100100 \, \text{Hz}$

3. ### Analysis and Detail

Now, we can substitute the values of $v$ and $f$ into our rearranged formula for wavelength:

$\lambda = \frac{200200 \, \text{m/s}}{100100 \, \text{Hz}}$

4. ### Verify and Summarize

Calculating the wavelength step-by-step:

$\lambda = \frac{200200}{100100} = 2 \, \text{m}$

Final Answer

The wavelength of the wave is $2 \, \text{metres}$.