Respuesta :
Answer:
The the range of the weak interaction is [tex]1.222\times10^{-18}\ m[/tex].
Explanation:
Given that,
Mass = 80.4 GeV/c
We need to calculate the mass in kg.
We know that,
[tex]1 GeV/c =1.79\times10^{-27}\ kg[/tex]
[tex]80.4 GeV/c = 1.79\times10^{-27}\times80.4\ kg[/tex]
[tex]80.4 GeV/c =1.4391\times10^{-25}[/tex]
We need to calculate the range of the weak interaction
Using formula of the range
[tex]R=\dfrac{\hbar}{2mc}[/tex]
Here, [tex]\hbar = \dfrac{h}{2\pi}[/tex]
[tex]R=\dfrac{h}{4\pi mc}[/tex]
Where, m = mass c = speed of light
Put the value into the formula
[tex]R=\dfrac{6.63\times10^{-34}}{4\pi \times1.4391\times10^{-25}\times3\times10^{8}}[/tex]
[tex]R=1.222\times10^{-18}\ m[/tex]
Hence, The the range of the weak interaction is [tex]1.222\times10^{-18}\ m[/tex].
