Atoms And Nuclei Question 238
Question: If an electron and a positron annihiliate, then the energy released is [DCE 2001; AIIMS 2004]
Options:
A) $ 3.2\times {{10}^{-13}}J $
B) $ 1.6\times {{10}^{-13}}J $
C) $ 4.8\times {{10}^{-13}}J $
D) $ 6.4\times {{10}^{-13}}J $
Show Answer
Answer:
Correct Answer: B
Solution:
Mass of electron = mass of positron = 9.1 ´ 10-31kg
Energy released $ E=(2m).c^{2} $
$ =2\times 9.1\times {{10}^{-31}}\times {{(3\times 10^{8})}^{2}} $ = 1.6 ´ 10?13J.