if the frequency of a radio station is 88.1 mhz (8.81×10⁷ hz), what is the wavelength of the wave used by…

Explanation:

Step1: Recall the wave - speed formula

The speed of an electromagnetic wave $c = \lambda f$, where $c$ is the speed of light ($c = 3\times10^{8}\ m/s$), $\lambda$ is the wavelength, and $f$ is the frequency. We need to solve for $\lambda$, so $\lambda=\frac{c}{f}$.

Step2: Substitute the given values

Given $f = 8.81\times 10^{7}\ Hz$ and $c = 3\times10^{8}\ m/s$. Then $\lambda=\frac{3\times 10^{8}\ m/s}{8.81\times 10^{7}\ Hz}$.

Step3: Calculate the wavelength

$\lambda=\frac{3\times 10^{8}}{8.81\times 10^{7}}=\frac{30}{8.81}\approx3.41\ m$.

Answer:

$3.41$