Question

An Fm radio station broadcasts electromagnetic radiation at a frequency of 101.2MHz. The wavelength of this radiation is __________m.

Answer 1

Answer on Question #59491 – Chemistry– General Chemistry

Question:

An Fm radio station broadcasts electromagnetic radiation at a frequency of 101.2MHz. The wavelength of this radiation is __________ m.

Answer:

The wavelength $\lambda$ of a sinusoidal wave traveling at constant speed $v$ is given by the following formula:

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

where $v$ is the speed of light, about $3 \times 10^{8} \, \text{m/s}$ and $f$ is the wave's frequency.

$$\lambda = 3 \times 10^{8} / 101.2 \times 10^{6} = 2.96 \, \text{m}$$

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