An electron is accelerated within a particle accelerator using a 100 mv electric potential. the 100 mev electron moves along an evacuated tube of length 4 m, fixed to the laboratory frame.
what length of the tube would be measured by an observer moving with the electron?

The length of the tube is 3.92 m.

Explanation:

Given that,

Electric potential = 100 MV

Length = 4 m

Energy = 100 MeV

We need to calculate the value of

Using formula of relativistic energy

Put the value into the formula

Here,

We need to calculate the length

Using formula of length

Put the value into the formula

Hence, The length of the tube is 3.92 m.