L Pretest: Unit 4Question 7 of 22What is the wavelength of an electromagnetic wave that has a frequency of1.82 x 10^18 Hz in a vacuum? (The speed of light in a vacuum is 3.00 x 10^8m/s.)A. 1.65 x 10-10 mB. 5.46 x 1026 mC. 6.07 x 109 m

Respuesta :

Answer:

A. 1.65 x 10^-10 m

Explanations:

The relationship between the speed(v), frequency(f), and wavelength(λ) of an electromagnetic wave is given as:

v = λf

From the question:

[tex]\begin{gathered} v\text{ = 3}\times10^8m\text{ /s} \\ f\text{ = 1.82}\times10^{18}Hz \end{gathered}[/tex]

Substituting the values of v and f into the equation v = λf

[tex]\begin{gathered} 3\times10^8=\lambda\times(1.82\times10^{18}) \\ \lambda\text{ = }\frac{3\times10^8}{1.82\times10^{18}} \\ \lambda\text{ = }1.65\text{ }\times10^{-10}m \end{gathered}[/tex]

Therefore, the wavelength of the electromagnetic wave is 1.65 x 10^-10 m