Final answer:
The wavelength corresponding to a frequency of 8.22 x 109 Hz is 0.0365 m, which is option (b) 0.0365 m.
Step-by-step explanation:
To find the wavelength, we can use the equation:
λ = c/f
where λ is the wavelength, c is the speed of light (3.00 × 10^8 m/s), and f is the frequency.
Plugging in the given frequency of 8.22 × 10^9 Hz:
λ = (3.00 × 10^8 m/s) / (8.22 × 10^9 Hz) = 0.0365 m
Therefore, option (b) 0.0365 m corresponds to a frequency of 8.22 × 10^9 Hz.
The question is asking us to determine the wavelength that corresponds to a frequency of 8.22 x 109 Hz. To find the wavelength (λ), we use the basic formula that relates the speed of light (c), frequency (f), and wavelength (λ): c = fλ. The speed of light in a vacuum is a constant, 3.00 x 108 m/s. Substituting the given frequency into the equation λ = c / f, we have λ = 3.00 x 108 m/s / 8.22 x 109 Hz. Performing the calculation, we get λ = 0.0365 m, which corresponds to the option (b) 0.0365 m.