The proper mean lifetime of a subnuclear particle called a muon is 2 µs. muons in a beam are traveling at 0.902 c relative to a laboratory. the speed of light is 2.998 × 108 m/s. in the reference frame of the muon, how far does the laboratory travel in a typical lifetime of 2 µs?

To solve this problem it is necessary to apply the equations related to the time measured from a relative viewer and the mathematical equations of motion.

Speed is defined as

Where,

d = Distance

t = Time

Re-arrange to find d,

Applying the equations of relativity of time,

Where,

v = Velocity

c = speed of light

Reference time

t = relative time

Replacing,

Therefore the distance would be

Therefore the travel will be 5.5Km

what experimental evidence led scientists to change from the previous model to this one?

a few of the positive particles aimed at a gold foil seemed to bounce back.

the colors of light emitted from heated atoms had very specific energies.

experiments with water vapor showed that elements combine in specific proportions.

cathode rays were bent in the same way whenever a magnet was brought near them.