
(a)
The speed of the electrons produced by the electron accelerator.
(a)

Answer to Problem 51P
The speed of the electrons produced by the electron accelerator is
Explanation of Solution
Given that the kinetic energy of the electrons is
Write the expression for relativistic kinetic energy.
Here,
Write the expression for the Lorentz factor.
Here,
Use equation (II) in equation (I).
Solve equation (III) for
Conclusion:
Substitute
Therefore, the speed of the electrons produced by an
(b)
The time taken for the electrons to travel the distance in the reference frame of electrons.
(b)

Answer to Problem 51P
The time taken for the electrons to travel the distance in the reference frame of electrons is
Explanation of Solution
Write the expression for the time taken in the reference frame of electrons.
Here,
Write the expression for the time taken by the electrons to exit the accelerator and reach the patient in the reference frame.
Here,
Use equation (II) and (VI) in equation (V),
Conclusion:
Substitute
Therefore, the time interval in the reference frame of electrons is
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Chapter 26 Solutions
Physics
- Mick and Rick are twins born on Earth in the year 2175. Rick grows up to be an Earth-bound robotics technician while Mick becomes an intergalactic astronaut. Mick leaves the Earth on his first space mission in the year 2200 and travels, according to his clock, for 10 years at a speed of 0.75c. Unfortunately, at this point in his journey, the structure of his ship undergoes mechanical breakdown and the ship explodes. How old is Rick when his brother dies?arrow_forwardHi, I have canceled, why did you charge me again?arrow_forwardNo chatgpt pls will upvotearrow_forward
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