Final answer:
The wavelength(λ) of electromagnetic radiation with a frequency of 5.00 x 10²¹ Hz is calculated using the formula c = λf. It is found to be 1.20 x 10⁻¹ meters.
Step-by-step explanation:
You asked about the wavelength(λ) of em radiation with a frequency of 5.00 x 10²¹ Hz. To find the wavelength, we can use the formula that relates the speed of light (c), frequency (f), and wavelength (λ): c = λf. The speed of light (c) is a constant at approximately 3.00 x 10⁸ meters per second. Using this information, we can solve for wavelength.
Given: f = 5.00 x 10²¹ Hz (the frequency of the em radiation), and c = 3.00 x 10⁸ m/s
The formula to find wavelength (λ) is: λ = c / f
Let's calculate the wavelength:
λ = c / f
λ = (3.00 x 10⁸ m/s) / (5.00 x 10²¹ Hz)
λ = 6.00 x 10⁸ m/s / 5.00 x 10²¹ Hz = 6.00 x 10⁸ m/s / 5.00 x 10²¹ 1/s
λ = 1.20 x 10⁻¹ meters
The wavelength(λ) of electromagnetic radiation with a frequency of 5.00 x 10²¹ Hz is 1.20 x 10⁻¹ meters.