Question

Radio wave radiation falls in the wavelength region of 10.0 to 1000 meters. What is the frequency of radio wave radiation that has a wavelength of 913 m

Answer 1

Answer:

The frequency of the radio wave is $328587Hz$

Explanation:

The electromagnetic spectrum is the distribution of radiation due to the different frequencies at which it radiates and its different intensities, that radiation is formed by electromagnetic waves, which are transverse waves formed by an electric field and a magnetic field perpendicular to it.

Radiation is distributed along that electromagnetic spectrum according with the wavelength or frequency. For example, X-rays, ultraviolet rays, the visible region are the ones with the highest frequencies and infrared, microwave and radio waves with lower frequencies.

Light propagates as electromagnetic wave in vacuum with a speed of $3x10^{8}m/s$. Therefore, radio waves will have in vacuum the same speed.

Therefore, in order to know the frequency the following equation can be used:

$c = \nu \cdot \lambda$  (1)

$\nu = \frac{c}{\lambda}$  (2)

Where $\nu$ is the frequency, c is the speed of light and $\lambda$ is the wavelength.

$\nu = \frac{3x10^{8}m/s}{913m}$

$\nu = 328587s^{-1}$

$\nu = 328587Hz$

Hence, the frequency of the radio wave is $328587Hz$.