Apion lives 26 ns in its rest frame. it travels 15 cm down a beam pipe in a particle accelerator before it decays into other particles. how far is this in the rest frame of the pion?

Explanation:

It is given that,

Life time of a pion,

Distance covered by a pion, d = 15 cm = 0.15 m

We need to find distance from the rest frame of the pion. Firstly, we can calculate the speed of the pion as :

v = 5769230.76 m/s

or

Its length in the rest frame is given by the formula as :

or

So, the length of the pion in rest frame is 14.9 cm. Hence, this is the required solution.

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