Q. When a proton, anti-proton annihilate ,the energy released is

A) $1.5\ \times \ 10^{- 10}\ J\ $
B) $28.8\ \times \ 10^{- 10}\ J$
C) $6\ \times \ 10^{- 10}\ J$
D) $9 \times 10 - 10\ J$
Explanation

(a) Einstein’s mass energy relation , the energy released is
$\Delta E = \Delta mc^{2}$
Where, $c$ is speed of light and $\ \Delta m$ is mass.
Given,
$\Delta m = 1.67\ \times \ 10^{- 27}\ kg\ ,\ c\ = \ 3\ \times \ 10^{8}\ ms^{- 1}$
$\therefore\ \ \ \Delta E = 1.67\ \times \ 10^{- 27}\ \times \ \left( 3\ \times \ 10^{8} \right)^{2}$
$\Delta E \approx \ 1.5\ \times \ 10^{- 10}\ J$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.

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