Question

In: Physics

A particle is found to carry the kinetic energy, K=(γ−1)mc2, which is equal to the energy...

A particle is found to carry the kinetic energy, K=(γ−1)mc2, which is equal to the energy of a photon. If the speed of the particle is v=0.500c, find the ratio of the wavelength of the photon to the de Broglie wavelength of the particle.

Expert Solution

The given expression of the kinetic energy of the particle

And given the speed of the particle

we get




And so, we get the kinetic energy of the particle


And so, from the given condition of equality of the energy of the photon with the kinetic energy of the particle
  we get



And the de Brogile wavelength of the particle is given by

So, the ratio of the wavelength of the photon to the de Brogile wavelength of the particle is


And putting the value of v and \gamma, we get

genius_generous answered 2 hours ago

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