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What wavelength corresponds to a frequency of 8.22x10 9 Hz?

a) 0.307 m
b)0.0365 m
c) 0.122 m
d) 0.110 m

User MKartha
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1 Answer

3 votes

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.

User Yassine
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8.2k points
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