radio stations use electromagnetic waves for broadcasting. the chart shows different frequencies of waves…
radio stations use electromagnetic waves for broadcasting. the chart shows different frequencies of waves used by radio stations. which radio station has the wave with the longest wavelength? radio station frequency (mhz) w 88 x 95 y 90 z 99
Answer
Explanation:
Step1: Recall the relationship between frequency and wavelength
The speed of an electromagnetic - wave $c$ is given by $c = \lambda f$, where $c$ is the speed of light ($c$ is a constant, $c\approx3\times10^{8}\ m/s$), $\lambda$ is the wavelength, and $f$ is the frequency. Rearranging for $\lambda$ gives $\lambda=\frac{c}{f}$. This means that wavelength and frequency are inversely proportional.
Step2: Compare the frequencies
We are given the frequencies of four radio - stations: $f_W = 88\ MHz$, $f_X=95\ MHz$, $f_Y = 90\ MHz$, $f_Z=99\ MHz$. Since $\lambda=\frac{c}{f}$ and $c$ is constant, the radio station with the lowest frequency will have the longest wavelength.
Among the given frequencies, $88\ MHz$ (frequency of station W) is the lowest.
Answer:
W