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.



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