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PAHELP

What is the wavelength of a certain electromagnetic wave that is traveling in a vacuum and has a frequency of 4 x 10⁸ Hz? ​


Sagot :

[tex]\tt{\huge{\blue{Explanation:}}}[/tex]

The wavelength of an electromagnetic (EM) wave is given by

[tex]\boxed{\lambda = \frac{c}{f}}[/tex]

where:

λ = wavelength

c = speed of light in vacuum = 3 × 10⁸ m/s

f = frequency

[tex]\tt{\huge{\red{Solution:}}}[/tex]

Solving for the wavelength

[tex]\lambda = \dfrac{c}{f}[/tex]

[tex]\lambda = \dfrac{3 \times 10^{8} \: \text{m/s}}{4 \times 10^8 \: \text{Hz}}[/tex]

[tex]\boxed{\lambda = \text{0.75 m}}[/tex]

Therefore, the wavelength is 0.75 m.

[tex]\\[/tex]

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