Question

An electron and a positron are moving toward each other with equal speeds of 3 x 106 m/s. The two particles annihilate each other and produce two photons of equal energy. (a) Do you need to use relativity for this problem? Support your answer numerically, and comment intelligently. (b) What were the deBroglie wavelengths of the electron and positron? (c) Find the energy of each photon. (d) Find the momentum of each photon. (e) Find the wavelength of each photon.

Name: an electron and a positron are moving toward each other with equal speeds of 3 x 106 ms the two particles annihilate each other and produce two photons of equal energy a do you need to use r 21446
Uploaded: 2023-03-02T22:03:54-08:00
Duration: 1 min 49 s
Channel: Penny Riley
Description: an electron and a positron are moving toward each other with equal speeds of 3 x 106 ms the two particles annihilate each other and produce two photons of equal energy a do you need to use r 21446

          An electron and a positron are moving toward each other with
equal speeds of 3 x 106 m/s. The two particles
annihilate each other and produce two photons of equal energy.
(a) Do you need to use relativity for this
problem? Support your answer numerically, and comment
intelligently. (b) What were the deBroglie
wavelengths of the electron and positron? (c) Find
the energy of each photon. (d) Find the momentum
of each photon. (e) Find the wavelength of each
photon.

Added by Lauren W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Penny Riley

03/02/2023

Step 1

We can calculate the relativistic factor γ as: γ = 1 / sqrt(1 - v^2/c^2) where v is the speed of the particles and c is the speed of light. Plugging in the values, we get: γ = 1 / sqrt(1 - (3 x 10^6 m/s)^2 / (3 x 10^8 m/s)^2) = 2.45 This means that the mass of Show more…

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An electron and a positron are moving toward each other with equal speeds of 3 x 106 m/s. The two particles annihilate each other and produce two photons of equal energy. (a) Do you need to use relativity for this problem? Support your answer numerically, and comment intelligently. (b) What were the deBroglie wavelengths of the electron and positron? (c) Find the energy of each photon. (d) Find the momentum of each photon. (e) Find the wavelength of each photon.