There is a type of subatomic particle known as a muon. It has an average lifetim

Question

There is a type of subatomic particle known as a muon. It has an average lifetime of about 2.2 times 10^-6 seconds and when it's produced by the atomic processes within the cores of stars it can have a velocity of 98% of the speed of light. a. At that speed, how long will it last in a laboratory that is stationary relative to the travelling muon? b. Using the extended lifetime calculated in ), determine how far the muon can travel in that time? Time Dilation: Deltat' = Deltat/Squareroot1-v^2/c^2 c 3 times 10^8 m/s

Explanation / Answer

Here ,

speed of particle , v = 0.98 c

t = 2.2 *10^-6 s

a) time relative to lab = t/sqrt(1- (v/c)^2)

time relative to lab = 2.2 *10^-6/sqrt(1 - 0.98^2)

time relative to lab = 1.106 *10^-5 s

the time relative to lab is 1.106 *10^-5 s

b)

distance travelled by muon = t * speed

distance travelled by muon = 1.106 *10^-5 * 0.98 * 3 *10^8

distance travelled by muon = 3251 m

the distance travelled by muon is 3251 m

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