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1) *Particles & waves in free space* a) Consider a particle with mass m travelling through...

1) *Particles & waves in free space*
a) Consider a particle with mass m travelling through free space with velocity v.
What is momentum of the particle?
What is the kinetic energy of the particle?
b) In quantum mechanics, any particle can be represented as a wave. What are the wavelength and
frequency associated with the particle in part a?
c) Now consider a beam of light propagating in a vacuum. The wavelength of the light is 500nm.
What is the frequency of the wave?
What is the MINIMUM amount of energy that could be carried in this beam of light?
What is the momentum of a single photon in this beam of light?
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