Final answer:
The wavelength of electromagnetic radiation with a frequency of 1.26x10^15 Hz is approximately 2.38x10^-7 m.
Step-by-step explanation:
The frequency of electromagnetic radiation is inversely proportional to its wavelength. According to Equation 3.2.4, the product of the wavelength and the frequency is the speed of the wave, which for electromagnetic radiation is 2.998 × 10^8 m/s. Therefore, to calculate the wavelength of radiation with a given frequency, we can use the equation c = λν.
In this case, the frequency is given as 1.26x10^15 Hz. Plugging this value into the equation, we get:
c = λ * 1.26x10^15 Hz Solving for λ, we divide both sides of the equation by 1.26x10^15 Hz:
λ = c / (1.26x10^15 Hz)
Substituting the value of the speed of light (c) into the equation, we have:
λ = (2.998 × 10^8 m/s) / (1.26x10^15 Hz)
Simplifying the expression, we find that the wavelength is approximately 2.38x10^-7 m