Final answer:
The frequency of radiation with a wavelength of 4.42 × 10^-6 m and speed of light 2.99 × 10^8 m/s is 6.76 × 10^13 Hz. The closest provided option to this correct frequency is option A, 6.73 × 10^14 Hz, although it isn't an exact match.
Step-by-step explanation:
The frequency of radiation with a wavelength of 4.42 × 10^-6 m can be calculated using the speed of light through the relationship c = fλ, where c is the speed of light, f is the frequency, and λ is the wavelength. Given that the speed of light, c, is 2.99 × 10^8 m/s, we can rearrange the equation to solve for the frequency (f) as f = c/λ.
Substituting the given values, we get:
f = (2.99 × 10^8 m/s) / (4.42 × 10^-6 m) = 6.76 × 10^13 s^-1, which can also be expressed as Hz. Therefore, the correct frequency is 6.76 × 10^13 Hz, which is not explicitly listed in the provided options. However, this frequency value corresponds most closely to option A, which is 6.73 × 10^14 Hz.