Atoms And Nuclei Question 230
Question: If a proton and anti-proton come close to each other and annihilate, how much energy will be released [DCE 1999; 2003]
Options:
A) $ 1.5\times {{10}^{-10}}J $
B) $ 3\times {{10}^{-10}}J $
C) $ 4.5\times {{10}^{-10}}J $
D) None of these
Show Answer
Answer:
Correct Answer: B
Solution:
Mass of proton = mass of antiproton $ =1.67\times {{10}^{-27}}kg=1amu $ Energy equivalent to $ 1\ amu=931\ MeV $
So energy equivalent to 2 amu $ =2\times 931\ MeV $
$ =1862\times 10^{6}\times 1.6\times {{10}^{-19}} $ $ =2.97\times {{10}^{-10}}J $
$ =3\times {{10}^{-10}}J $ .
