Final answer:
The energy of an electromagnetic wave with a frequency of 5.10 E-8 1/s is calculated using Planck's formula E = hf, which results in an energy of 3.37926 × 10^-42 J. However, the provided frequency is abnormally low for electromagnetic waves and may be incorrect.
Step-by-step explanation:
The energy of an electromagnetic wave can be determined using the formula E = hf, where E is the energy in joules, h is Planck's constant and f is the frequency of the wave. To find the energy of an electromagnetic wave with a frequency of 5.10 E-8 Hz, we would use Planck's constant which is approximately 6.626 × 10^-34 J·s.
Please note that the frequency value provided as 5.10 E-8 1/s seems to be unusually low for an electromagnetic wave and may be a result of a typo or misunderstanding. However, assuming the value is correct and substituting Planck's constant and the frequency into the equation, we calculate the energy using the following steps:
E = hf = (6.626 × 10^-34 J-s) (5.10 × 10^-8 Hz) = 3.37926 × 10^-42 J.
The calculated energy would be extremely low, and again, it must be emphasized that the frequency value provided seems atypical for practical electromagnetic waves.