Final answer:
The wavelength of radiation with a frequency of 8.43 x 10⁻¹ Hz can be calculated using the formula λ = c / f. Using the speed of light (c = 3.00 × 10⁸ m/s), the wavelength is found to be 3.56 × 10² m, which is approximately option B. 3.6 × 10 m.
Step-by-step explanation:
To calculate the wavelength of radiation with a given frequency, we can use the formula c = fλ, where:
- c is the speed of light, which is approximate 3.00 × 10⁸ m/s in a vacuum.
- f is the frequency of the radiation.
- λ is the wavelength of the radiation.
Rearranging the formula to solve for wavelength (λ), we get λ = c / f.
For a frequency of 8.43 × 10⁻¹ Hz, the wavelength can be calculated as follows:
λ = (3.00 × 10⁸ m/s) / (8.43 × 10⁻¹ Hz) = 3.56 × 10² m
Therefore, the nearest answer given in the options is B. 3.6 × 10, which implies a wavelength of 3.6 × 10 m, although depending on significant figures and rounding, the precise answer might slightly differ from the options.