In: Physics
What is the linear momentum p and the wavelength λ associated
with a light photon with energy (Ephoton=3×10−19 J)?
The value provided in the question is as follows:
The formula relating energy of a photon with its momentum is:
Here, = Total Energy, = Magnitude of Momentum, = Speed of light and = Rest mass of particle.
Since the question is talking about a photon which is a massless particle, so and we get,
Using the value of provided in the question and , we get,
For the wavelength , we use the relation
Putting the values of , and , we get
Hence the linear momentum of the photon and its wavelength .