Respuesta :
Answer:
The wavelength of the wave is 3.003 m
Explanation:
Given:
Frequency of the EM waves (f) = 99.9 MHz
Speed of the EM waves is equal to speed of light. So, [tex]v=3\times 10^8\ m/s[/tex]
First let us convert the frequency from MHz to Hz using the conversion factor.
We know, 1 MHz = 10⁶ Hz.
∴ 99.9 MHz = 99.9 × 10⁶ Hz
We know that, speed of a wave is related to its frequency and wavelength as:
Speed (v) = Frequency (f) × Wavelength (λ)
[tex]v=f\times \lambda[/tex]
Now, rewriting the above equation in terms of 'λ', we get:
[tex]\lambda=\dfrac{v}{f}[/tex]
Now, plug in the given values and solve for 'λ'. This gives,
[tex]\lambda=\frac{3\times 10^8\ m/s}{99.9\times 10^6\ Hz}\\\\\lambda=3.003\ m[/tex]
Therefore, the wavelength of the wave is 3.003 m.
The wavelength of the wave is 3.003 m
Calculation of the wavelength:
Since Frequency of the EM waves (f) = 99.9 MHz
So, the speed of the EM waves should be equivalent to the speed of the light [tex]v = 3\times ^{8}m/s[/tex]
We know that
1 MHz = 10⁶ Hz.
So, 99.9 MHz = 99.9 × 10⁶ Hz
Now
The wavelength should be
[tex]= \frac{3\times 10^{8}}{99.9 \times 10^{6}}[/tex]
= 3.003 m
This question is incomplete. Here are the missing details.
The speed of the EM waves should be equivalent to the speed of the light [tex]v = 3\times ^{8}m/s[/tex]
Learn more about frequency here: https://brainly.com/question/20038359
