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Question: If an electron and a positron annihiliate, then the energy released is....

If an electron and a positron annihiliate, then the energy released is.

A

3.2×10−13J3.2 \times 10^{- 13}J

B

1.6×10−13J1.6 \times 10^{- 13}J

C

4.8×10−13J4.8 \times 10^{- 13}J

D

6.4×10−13J6.4 \times 10^{- 13}J

Answer

1.6×10−13J1.6 \times 10^{- 13}J

Explanation

Solution

Mass of electron = mass of positron = 9.1 × 10-31kg

Energy released E=(2m).c2E = (2m).c^{2}

=2×9.1×10−31×(3×108)2= 2 \times 9.1 \times 10^{- 31} \times (3 \times 10^{8})^{2}= 1.6 × 10–13J.-31—31—