contestada

The Stanford Linear Accelerator (SLAC) accelerates electrons to v=0.99999997c in a 3.2-km-long tube. If they travel the length of the tube at full speed (they don’t, because they are accelerating), how long is the tube in the electrons' reference frame?

Respuesta :

Answer:

So length of the tube in electron reference frame is 0.7348 m

Explanation:

We have given total length of the tube [tex]L_V=3.2km=3200m[/tex]

Velocity of electron v = 0.99999997c ,here c is the velocity of light

We have to find the length of the tube in electron reference frame

Length of the tube in electron reference frame is given by [tex]L=L_V\sqrt{1-\frac{v^2}{c^2}}=3200\times \sqrt{1-\frac{(0.99999997c)^2}{c^2}}=1.431m[/tex]

So length of the tube in electron reference frame is 0.7348 m

 

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