which has the longer wavelength, red light of frequency 4.3x10^14Hz or blue light of frequency 6.4 x 10^14 Hz.show your calculation by converting your final answer to nanometer
1. Calculate the wavelength of red light:
λ_red = c / f_red
where c = speed of light = 3.00 x 10^8 m/s
f_red = frequency = 4.3 x 10^14 Hz
λ_red = (3.00 x 10^8 m/s) / (4.3 x 10^14 Hz)
λ_red = 6.98 x 10^-7 m = 698 nm
2. Calculate the wavelength of blue light:
λ_blue = c / f_blue
f_blue = 6.4 x 10^14 Hz
λ_blue = (3.00 x 10^8 m/s) / (6.4 x 10^14 Hz)
λ_blue = 4.69 x 10^-7 m = 469 nm
Therefore, the blue light has the longer wavelength with a wavelength of 469 nm as compared to the red light with a wavelength of 698 nm.