(7 Points, 1 point each) A group of

\\\\pi

mesons (pions) are observed to be traveling at

u^(')=0.8c

in a physics laboratory. The mean lifetime (let's call it

\\\\lambda

) for unstable particles undergoing exponential decay is the average time for a group of particles to be reduced to

(1)/(e)

of their original number. We can express this mathematically as:

N_(t)=N_(0)exp(-\\\\Delta (t)/(\\\\lambda ))

. We see then that for

\\\\Delta t=\\\\lambda ,N_(t)=N_(0)exp(-1)=((1)/(e))*N_(0)

\ A) What is the

\\\\gamma

-factor for the pions?

3. (7 Points, 1 point each) A group of mesons (pions) are observed to be traveling at u=0.8c in a physics laboratory. The mean lifetime (let's call it ) for unstable particles undergoing exponential decay is the average time for a group of particles to be reduced to 1/e of their original number. We can express this mathematically as: Nt=N0exp(t/). We see then that for t=,Nt=N0exp(1)=(1/e)N0 A) What is the -factor for the pions