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
.