Question

In: Physics

1. An electron at a museum travels at 0.99998c down a 3.2km long tunnel find γ...

1. An electron at a museum travels at 0.99998c down a 3.2km long tunnel find γ first

a. How long will the trip take according to a clock in the control room?

b. How long will the trip take according to the electron’s internal clock?

c. What is the trip distance according to the electron?

please answer all parts of the question and make writing legible thank you

Expert Solution

In the frame of the control room electron moves with a constant speed 0.99998c. the electron travel a distance of 3.2 km = 3200 m. So the time taken for this trip as measured by the clock of control room is given by

This is the time as measured by the clock of control room for the trip.

b) the time measured by the internal clock of electron is called proper time t. The relation between t and T and t is given below

So the time measured by electron internal clock for the trip is

This is the time measured by the internal clock of electron.

c) in the frame of electron it is in rest , the control room moves backwards with a velocity 0.99998c so the trip distance L= 3200 m = 3.2 km will shrink to a distance in the frame of electron as given below

This is the trip distance according to the electron.

genius_generous answered 4 hours ago

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