Question #206429

An ionization chamber is connected to an electrometer of capacitance 0.5 pF and voltage sensitivity of 4 divisions. Calculate the number of ion pairs required and the energy of the alpha particle.


1
Expert's answer
2021-06-14T17:27:05-0400

The voltage sensitivity is 4 divisions per volt.

So 0.8 divisions correspond to 0.2 V.

The charge deposited, Q=CV=0.510120.2=1013 C.Q=CV=0.5\cdot 10^{-12}\cdot 0.2=10^{-13}~C. If n ion pairs are released then ne=Q.ne=Q.  

Therefore n=Qe=10131.61019=6.25105n=\frac Qe=\frac{10^{-13}}{1.6\cdot 10^{-19}}=6.25\cdot 10^5 ion pairs. 

Eα=nEI=6.2510535=21.87 MeV.E_{\alpha}=nE_I=6.25\cdot 10^5\cdot 35=21.87~MeV.



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