Calculate the momentum (in kg · m/s) of a photon having a wavelength of 4.48 µm.
Question
Calculate the momentum (in kg · m/s) of a photon having a wavelength of 4.48 µm.
Solution
To calculate the momentum of a photon, we can use the equation:
momentum = (Planck's constant) / (wavelength)
First, let's convert the wavelength from micrometers (µm) to meters (m). We know that 1 µm is equal to 1 × 10^-6 meters. So, the wavelength of 4.48 µm is equal to 4.48 × 10^-6 meters.
Next, we need to know the value of Planck's constant, which is approximately 6.626 × 10^-34 kg · m^2/s.
Now, we can substitute the values into the equation:
momentum = (6.626 × 10^-34 kg · m^2/s) / (4.48 × 10^-6 meters)
Simplifying the equation, we get:
momentum = 1.48 × 10^-27 kg · m/s
Therefore, the momentum of a photon with a wavelength of 4.48 µm is approximately 1.48 × 10^-27 kg · m/s.
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