Frequency and Speed of Electromagnetic Waves

To find the wavelength of the electromagnetic waves transmitted by a radio station, we first need to understand the relationship between frequency and speed.

- Frequency: Frequency is the number of complete cycles of a wave that occur in one second. It is measured in hertz (Hz) or, in this case, megahertz (MHz). The frequency of the waves transmitted by the radio station is given as 40 MHz.

- Speed: The speed of electromagnetic waves refers to the speed at which they travel through a medium. In this case, the speed is given as 3.8 × 10^8 meters per second (m/s).

Calculating Wavelength

The wavelength of a wave can be calculated using the formula:

Wavelength (λ) = Speed (v) / Frequency (f)

In this case, we are given the frequency as 40 MHz and the speed as 3.8 × 10^8 m/s.

- Converting the frequency to hertz:
40 MHz = 40 × 10^6 Hz (1 MHz = 10^6 Hz)

Now, we can substitute the values into the formula to calculate the wavelength:

Wavelength (λ) = (3.8 × 10^8 m/s) / (40 × 10^6 Hz)

Simplifying the expression:

Wavelength (λ) = 9.5 meters

Therefore, the wavelength of the electromagnetic waves transmitted by the radio station is 9.5 meters.

Summary

- The frequency of the waves transmitted by the radio station is given as 40 MHz.
- The speed of electromagnetic waves is given as 3.8 × 10^8 m/s.
- The wavelength can be calculated using the formula: Wavelength (λ) = Speed (v) / Frequency (f).
- Converting the frequency to hertz, we get 40 × 10^6 Hz.
- Substituting the values into the formula, we find the wavelength to be 9.5 meters.

9.8 m