# Wavelength of carrier frequency radio signal

• stickplot
In summary, the FM radio station's carrier frequency is 94.7 Megahertz, which is equivalent to 3.2 meters in wavelength. The unit of wavelength is meters.
stickplot

## Homework Statement

What is the wavelength of the carrier frequency radio signal?

## Homework Equations

velocity=wavelength(frequency)

## The Attempt at a Solution

94.7x10^-6(w)= 3x10^8
w= 3.2 wavelength

I think this is right just not 100% sure

Are you sure 94.7 Megahertz = 94.7 x 10-6 Hertz?

Apart from that typo it looks like you've done it ok. Remember your units though.

Last edited:

o ok i see what i did wrong its 94.7x10^6 hertz but the answer comes out to 3.167898627E12, it just seems weird. would that be right?
and what would the unit be?

You had the answer correct in the first place despite the typo. What is the SI unit of length?

o ok so it would be 3.2 meters?

stickplot said:
o ok so it would be 3.2 meters?

Yes

o ok. thanks for your time :)

## 1. What is the wavelength of a carrier frequency radio signal?

The wavelength of a carrier frequency radio signal is the distance between consecutive peaks or troughs of the signal's electromagnetic wave. It can be calculated by dividing the speed of light (299,792,458 meters per second) by the frequency of the signal (measured in Hertz).

## 2. How does the wavelength of a carrier frequency radio signal affect its transmission?

The wavelength of a carrier frequency radio signal is inversely proportional to its frequency. This means that as the wavelength increases, the frequency decreases and vice versa. A longer wavelength allows the signal to travel further distances and penetrate obstacles more easily, while a shorter wavelength allows for a higher data transfer rate.

## 3. What is the relationship between wavelength and antenna size for a carrier frequency radio signal?

The size of an antenna needed for a carrier frequency radio signal is directly related to the wavelength of the signal. Antennas are designed to be a certain size to effectively transmit and receive signals at specific frequencies, so a longer wavelength will require a larger antenna and vice versa.

## 4. How does the atmosphere affect the wavelength of a carrier frequency radio signal?

The atmosphere can affect the wavelength of a carrier frequency radio signal through a phenomenon called refraction. This is when the signal bends as it travels through different layers of the atmosphere, causing the wavelength to change. This can impact the signal's strength and reach, especially in adverse weather conditions.

## 5. How does the wavelength of a carrier frequency radio signal differ from other types of electromagnetic waves?

The wavelength of a carrier frequency radio signal is typically much longer than other types of electromagnetic waves, such as visible light or X-rays. This is because radio signals have lower frequencies, which results in longer wavelengths. However, the principles of wavelength, frequency, and their effects on transmission are the same for all types of electromagnetic waves.

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