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Physics · Unit 1 · Ionising radiation and nuclear reactions · Nuclear model and stability

Solve problems involving the mass–energy equivalence relationship using ∆𝐸 = ∆𝑚𝑐2.

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Question 1

A nuclear reaction releases 4.5 × 10⁻¹³ J of energy. What is the corresponding mass defect?

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Question 2

In a nuclear fusion reaction, two deuterium nuclei (²₁H) combine to form a helium-3 nucleus (³₂He) and a neutron (¹₀n). The mass of a deuterium nucleus is 3.3436 × 10⁻²⁷ kg, the mass of a helium-3 nucleus is 5.0082 × 10⁻²⁷ kg, and the mass of a neutron is 1.6749 × 10⁻²⁷ kg. Calculate the energy released in this fusion reaction in joules. Show your working.

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Question 3

A nuclear reaction converts $3.2 \times 10^{-3}$ kg of matter into energy. Calculate the energy released by this reaction. (Give your answer in joules to 2 significant figures.)

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