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A linear particle accelerator using beta particles collides electrons with their anti-matter counterparts, positrons. The accelerated electron hits the stationary positron with a velocity of 77 x 10° m/s, causing the two particles to annihilate. If two gamma photons are created as a result, calculate the energy of each of these two photons, giving your answer in MeV (mega electron volts), accurate to 1 decimal place. Take the mass of the electron to be 5.486 x 104 u, or 9.109 x 1031 kg. Note: Assume that the kinetic energy is also converted into the gamma rays, and is included in the two photons.

A linear particle accelerator using beta particles collides electrons with their anti-matter counterparts, positrons. The accelerated electron hits the stationary positron with a velocity of 77 x 10° m/s, causing the two particles to annihilate. If two gamma photons are created as a result, calculate the energy of each of these two photons, giving your answer in MeV (mega electron volts), accurate to 1 decimal place. Take the mass of the electron to be 5.486 x 104 u, or 9.109 x 1031 kg. Note: Assume that the kinetic energy is also converted into the gamma rays, and is included in the two photons.

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A linear particle accelerator using beta particles collides electrons with their anti-matter counterparts, positrons. The accelerated electron hits the stationary positron with a velocity of 77 x 10° m/s, causing the two particles to annihilate. If two gamma photons are created as a result, calculate the energy of each of these two photons, giving your answer in MeV (mega electron volts), accurate to 1 decimal place. Take the mass of the electron to be 5.486 x 104 u, or 9.109 x 1031 kg. Note: Assume that the kinetic energy is also converted into the gamma rays, and is included in the two photons.
Transcribed Image Text:A linear particle accelerator using beta particles collides electrons with their anti-matter counterparts, positrons. The accelerated electron hits the stationary positron with a velocity of 77 x 10° m/s, causing the two particles to annihilate. If two gamma photons are created as a result, calculate the energy of each of these two photons, giving your answer in MeV (mega electron volts), accurate to 1 decimal place. Take the mass of the electron to be 5.486 x 104 u, or 9.109 x 1031 kg. Note: Assume that the kinetic energy is also converted into the gamma rays, and is included in the two photons.
The width of the central bright fringe in a diffraction pattern on a screen is identical when either electrons or optical light pass through a single slit. The distance between the screen and the slit is the same in each case and is large compared to the slit width. If the wavelength of the optical light is 589 nm, how fast are the electrons moving? Give your answer in units of m/s, accurate to 2 decimal places.
Transcribed Image Text:The width of the central bright fringe in a diffraction pattern on a screen is identical when either electrons or optical light pass through a single slit. The distance between the screen and the slit is the same in each case and is large compared to the slit width. If the wavelength of the optical light is 589 nm, how fast are the electrons moving? Give your answer in units of m/s, accurate to 2 decimal places.
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