Radio waves are electromagnetic waves that travel at a speed of 3.00 108 m/s, the speed of light. An AM radio station has an assigned frequency of 1350 kHz, which means that the radio waves broadcast by the station are at this frequency. Find the wavelength of these radio waves.
distance = speed * time
period = 1/frequency
L = 3*10^8 *(1/1.35*10^6)
= 2.22 * 10^2 = 222 m
222 m
To find the wavelength of the radio waves, we can use the formula:
$$\text{Speed} = \text{Frequency} \times \text{Wavelength}$$
In this case, the speed is given as $3.00 \times 10^8 \, \text{m/s}$ and the frequency is given as $1350 \, \text{kHz}$. However, we need to convert the frequency from kilohertz to hertz by multiplying it by $10^3$:
$$\text{Frequency} = 1350 \times 10^3 \, \text{Hz}$$
Now, we can rearrange the formula to solve for the wavelength:
$$\text{Wavelength} = \frac{\text{Speed}}{\text{Frequency}}$$
Substituting the known values:
$$\text{Wavelength} = \frac{3.00 \times 10^8 \, \text{m/s}}{1350 \times 10^3 \, \text{Hz}}$$
Simplifying:
$$\text{Wavelength} = 222.22 \, \text{m}$$
Therefore, the wavelength of the radio waves broadcasted by the AM radio station is approximately $222.22 \, \text{m}$.