Final answer:
The energy of radiation with a frequency of 4.57 × 10^14 Hz is calculated using the equation E = hf, where h is Planck's constant, and f is the frequency.
Step-by-step explanation:
To calculate the energy of radiation with a given frequency, we use the equation E = hf, where E is the energy in joules, h is Planck's constant, and ƒ is the frequency in hertz (Hz). Planck's constant (h) is a fundamental constant in physics with a value of 6.626 × 10-34 J·s. Using the provided frequency of 4.57 × 1014 Hz, the equation becomes E = (6.626 × 10-34 J·s)(4.57 × 1014 Hz), which results in an energy value for the radiation.