calculate the frequency of an Infrared light of wave number 2200cm^-1
frequency = speed / wavelength = c / 2200 cm = 3E10 / 2.2E3
That is :
3×10^8/2.2×10^-3 = 1.36×10^11
Hope am correct
my bad ... the wave NUMBER is waves per cm ... not the wave length
frequency = speed * wavenumber = 3E8 * 2.2E3
sorry about that
To calculate the frequency of an infrared (IR) light given the wave number, you can use the formula:
Frequency (ν) = Speed of Light (c) / Wavelength (λ)
In this case, the value given is the wave number rather than the wavelength. The wave number (ν̃) is the reciprocal of the wavelength (λ), so we can use the formula:
Wave number (ν̃) = 1 / Wavelength (λ)
First, we need to convert the given wave number from cm^-1 to meters (m) by dividing it by 100:
Wave number (ν̃ in m^-1) = 2200 cm^-1 / 100 = 22 m^-1
Now, we can substitute the wave number into the formula and solve for the wavelength:
1 / Wavelength (λ) = 22 m^-1
Wavelength (λ) = 1 / 22 m^-1 = 0.0455 m
Next, we can calculate the frequency using the speed of light:
Speed of Light (c) = 3.00 x 10^8 m/s
Frequency (ν) = 3.00 x 10^8 m/s / 0.0455 m = 6.59 x 10^9 Hz
Therefore, the frequency of the infrared light with a wave number of 2200 cm^-1 is approximately 6.59 x 10^9 Hz.