Final answer:
The wavelength of electromagnetic radiation with a frequency of 5.0×10¹² Hz is 6.00 × 10⁻⁶ meters, calculated using the speed of light and the wave equation.
Step-by-step explanation:
To calculate the wavelength of an electromagnetic radiation when its frequency is known, you can use the wave equation c = λf, where c represents the speed of light in a vacuum, λ is the wavelength, and f is the frequency.
The speed of light (c) is a constant with a value of approximately 3.00 × 10⁸ m/s. Given that the frequency (f) of the electromagnetic radiation is 5.0×10¹² Hz, we can rearrange the equation to solve for the wavelength (λ):
λ = c / f
= (3.00 × 10⁸ m/s) / (5.0×10¹² Hz)
= 6.00 × 10⁻⁶ m, which is the wavelength of the radiation.