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f a proton and anti-proton come close to each other and annihilate, how much energy will be released?

1. \( 1.5 \times 10^{-10} \mathrm{J} \)
2. \( 3 \times 10^{-10} J \)
3. \( 4.5 \times 10^{-10} J \)
4. \( 2 \times 10^{-10} \mathrm{J} \)

Correct answer: \( 2 \times 10^{-10} \mathrm{J} \)

Solution

When a proton and antiproton annihilate, their entire rest mass is converted into energy. Since they have equal mass, the released energy is twice the proton rest energy, which is about 2 × 10^-10 J.

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