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An elementary particle travelling at a speed that is 3/5th of the speed of light by what factor does it average lifetime changes in motion as compared to its average lifetime at rest?
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An elementary particle travelling at a speed that is 3/5th of the spee...



Effect of Speed on Average Lifetime of Elementary Particle


Speed of Particle: 3/5th of the speed of light

Factor by which Average Lifetime Changes:
  • Explanation: When an elementary particle travels at a high speed close to the speed of light, it experiences time dilation according to the theory of relativity. This means that time slows down for the particle in motion compared to when it is at rest.
  • Formula for Time Dilation: The factor by which time dilates is given by the equation: 1 / √(1 - v^2/c^2), where v is the speed of the particle and c is the speed of light.
  • Calculating the Factor: Substituting the given speed (3/5th of the speed of light) into the formula, we find that the factor by which the average lifetime changes is approximately 2.5.
  • Interpretation: This means that the average lifetime of the elementary particle in motion is 2.5 times longer than its average lifetime at rest.




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An elementary particle travelling at a speed that is 3/5th of the speed of light by what factor does it average lifetime changes in motion as compared to its average lifetime at rest?
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