When it is stationary, the half-life of a certain subatomic particle is To. That is, if N of these particles are present at a certain time, then a time To later only N/2 particles will be present, assuming the particles are at rest. A beam carrying N such particles per second is created at position x = 0 in a high- energy physics laboratory. This beam travels along the x axis at speed v in the laboratory reference frame and it is found that only N/2 particles per second travel in the beam at x = 2cTo, where c is the speed of light. Find the speed v of the particles within the beam.
When it is stationary, the half-life of a certain subatomic particle is To. That is, if N of these particles are present at a certain time, then a time To later only N/2 particles will be present, assuming the particles are at rest. A beam carrying N such particles per second is created at position x = 0 in a high- energy physics laboratory. This beam travels along the x axis at speed v in the laboratory reference frame and it is found that only N/2 particles per second travel in the beam at x = 2cTo, where c is the speed of light. Find the speed v of the particles within the beam.
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Transcribed Image Text:When it is stationary, the half-life of a certain subatomic particle is To. That is, if N of these particles
are present at a certain time, then a time To later only N/2 particles will be present, assuming the
particles are at rest. A beam carrying N such particles per second is created at position x = 0 in a high-
energy physics laboratory. This beam travels along the x axis at speed v in the laboratory reference
frame and it is found that only N/2 particles per second travel in the beam at x = 2cTo, where c is the
speed of light. Find the speed v of the particles within the beam.
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