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If an electromagnetic wave has a frequency of 6 x 10^9 Hz, what is its wavelength? Use 2 -. The speed of light is 3 x 10^8 m/s.

A. 5 x 10^14 m
B. 2 x 10^12 m
C. 5 x 10^2 m
D. 2 x 10^8 m

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Final answer:

To calculate the wavelength of an electromagnetic wave with a frequency of 6 x 10^9 Hz, use the formula λ = c / f, which yields a wavelength of 5 x 10^2 meters, corresponding to option C.

Step-by-step explanation:

The question is asking for the wavelength of an electromagnetic wave given its frequency. To find the wavelength, you can apply the formula c = λ × f, where c is the speed of light (3 x 108 m/s), λ is the wavelength, and f is the frequency.

Given that the frequency (f) is 6 x 109 Hz, we can rearrange the formula to solve for the wavelength (λ): λ = c / f. Plugging in the values, we get λ = (3 x 108 m/s) / (6 x 109 Hz) = 0.05 meters.

This can be rewritten as 5 x 102 meters, which corresponds to option C.

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