Respuesta :
Answer:
Wavelength of electromagnetic wave will be 5.281 m
Explanation:
We have given frequency of electromagnetic wave is [tex]f=5.68\times 10^7Hz[/tex]
Velocity of electromagnetic wave is [tex]c=3\times 10^8m/sec[/tex]
We have to fond the wavelength of the electromagnetic wave
We know that velocity of electromagnetic eave is given by [tex]v=\lambda f[/tex], here [tex]\lambda[/tex] is wavelength and f is frequency
So [tex]\lambda =\frac{v}{f}=\frac{3\times 10^8}{5.68\times 10^7}=5.281m[/tex]
Wavelength of electromagnetic wave will be 5.281 m
To solve the problem we should know about the Velocity of an electromagnetic.
What is the Velocity of electromagnetic?
velocity can be written as the product of frequency and wavelength.
[tex]V = f \times \lambda[/tex]
where,
V = velocity of the wave in m/s.
f = frequency of the wave in Hz.
λ = wavelength of the wave in m.
The value of λ is 5.282.
Given to us
- Frequency of the electromagnetic wave, [tex]f= 5.68 \times 10^7\ hz[/tex],
Assumption
Assuming the electromagnetic wave is in a vacuum.
Velocity of an electromagnetic wave in vacuum
We know the velocity of an electromagnetic wave in a vacuum is [tex]3 \times 10^8\ m/s[/tex].
Value of λ
Substituting the values, we get,
[tex]V = f \times \lambda\\\\3 \times 10^8 = 5.68 \times 10^7 \times \lambda\\\\\lambda = \dfrac{3 \times 10^8}{5.68 \times 10^7}\\\\\lambda = 5.28169 \approx 5.282[/tex]
hence, the value of λ is 5.282.
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