Question

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

Answer 1

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:

`\begin{gathered} v\text{ = 3}*10^8m\text{ /s} \\ f\text{ = 1.82}*10^(18)Hz \end{gathered}`

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

`\begin{gathered} 3*10^8=\lambda*(1.82*10^(18)) \\ \lambda\text{ = }(3*10^8)/(1.82*10^(18)) \\ \lambda\text{ = }1.65\text{ }*10^(-10)m \end{gathered}`

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