An electron moving to the right at collides with a positron moving to the left at . The two particles annihilate and produce two gamma-ray photons. What is the wavelength of the photons?
The wavelength of the photons is .
We need to find the wavelength of the photons.
using formula :
we get relation for , from equation (1)
a. Derive a velocity transformation equation for and . Assume that the reference frames are in the standard orientation with motion parallel to the x- and x′-axes.
b. A rocket passes the earth at . As it goes by, it launches a projectile at perpendicular to the direction of motion. What is the particle’s speed, as a fraction of c, in the earth’s reference frame?
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