Nuclear Physics And Radioactivity Question 55

Question: The rest mass of an electron as well as that of positron is 0.51 MeV. When an electron and positron are annihilate, they produce gamma-rays of wavelength(s) [UPSEAT 2002]

Options:

A) 0.012 Å

B) 0.024 Å

C) 0.012 Å to ¥

D) 0.024 Å to ¥

Show Answer

Answer:

Correct Answer: A

Solution:

Since electron and positron annihilate $ \lambda =\frac{hc}{E_{Total}}=\frac{6.6\times {{10}^{-34}}\times 3\times 10^{8}}{(0.51+0.51)\times 10^{6}\times 1.6\times {{10}^{-19}}} $ $ =1.21\times {{10}^{-12}}m=0.012{\AA} $ .