Final answer:
The frequency of radiation with a wavelength of 4.92 meters is 6.10 × 10⁵ Hz, which does not match any of the options provided. A correct answer requires reevaluating the units for the wavelength or the options given.
Step-by-step explanation:
To calculate the frequency of a radiation with a given wavelength, we use the formula f = c / λ, where f is the frequency, c is the speed of light (approximately 3 × 10⁸ m/s), and λ is the wavelength. For a radiation with a wavelength of 4.92 × 10⁹ m (since the wavelength is typically given in nanometers or meters, and no unit was provided, we're assuming meters as a standard unit), the frequency calculation would be:
f = c / λ
f = (3 × 10⁸ m/s) / (4.92 × 10⁹ m)
f = 6.10 × 10⁵ Hz
None of the provided answer choices match this computation. The correct frequency is 6.10 × 10⁵ Hz, which doesn't correspond to any of the options (a) 1.22 Hz, (b) 6.45 Hz, (c) 0.64 Hz, or (d) 7.28 Hz offered in the question. It's possible there may be a mistake in the question or the units provided.