Share
The proton from the decay of the neutron is moving at 0.75 c. An observer on the proton measures the radius of the electron as 10 fermi. A F
Question
The proton from the decay of the neutron is moving at 0.75 c. An observer on the proton measures the radius of the electron as 10 fermi. A Fermi is 10-15 m. What is the radius of the electron measured by someone on the electron?
in progress
0
Physics
4 years
2021-08-21T05:36:13+00:00
2021-08-21T05:36:13+00:00 1 Answers
8 views
0
Answers ( )
Answer:
L₀ = 15.12 fermi
Explanation:
From Einstein’s special theory of relativity’s consequence of length contraction, we know that:
L₀ = L √(1 – v²/c²)
where,
L₀ = Length of the object (electron) measured by observer at rest = ?
L = Length of the object (electron) measured by observer in relative motion
L = 10 fermi
v = relative speed = 0.75 c
c = speed of light
Therefore,
10 fermi = L₀√(1 – 0.75²c²/c²)
10 fermi = L₀√(1 – 0.5625)
10 fermi = L₀√0.4375
10 fermi/0.66 = L₀
L₀ = 15.12 fermi