Final answer:
To calculate the wavelength of red light with a frequency of 4.48x10¹⁴ s⁻¹, use the equation for the speed of light in a vacuum and rearrange it to solve for wavelength. The wavelength of the red light is approximately 670 nm.
Step-by-step explanation:
To calculate the wavelength of red light with a frequency of 4.48x10¹⁴ s⁻¹, we can use the equation for the speed of light in a vacuum, which is given by the product of the wavelength and the frequency:
Speed of light = Wavelength x Frequency
Since we are looking for the wavelength, we can rearrange the equation to solve for it:
Wavelength = Speed of light / Frequency
Plugging in the values, we get:
Wavelength = (2.998 x 10^8 m/s) / (4.48 x 10^14 s⁻¹)
By calculating this, we find that the wavelength of the red light is approximately 670 nm.