In a nuclear fusion reaction, two nuclei, A and B fuse to produce a nucleus C , releasing an amount of energy Δ E in the process. If the mass defects of the three nuclei are Δ M A , Δ M B and Δ M

Question

In a nuclear fusion reaction, two nuclei, A and B fuse to produce a nucleus C , releasing an amount of energy Δ E in the process. If the mass defects of the three nuclei are Δ M A ​ , Δ M B ​ and Δ M C ​ respectively, then which of the following relations holds? Here, c is the speec of light.

TestHub · Accepted Answer

Binding energy of A = Δ M A ​ c 2 Binding energy of B = Δ M B ​ c 2 Binding energy of C = Δ M C ​ c 2 The nuclear reaction is given by A + B → C Energy released , Δ E = Binding energy of C − (Binding energy of A + Binding energy of B ) ​ = Δ M C ​ c 2 − ( Δ M A ​ c 2 + Δ M B ​ c 2 ) c 2 Δ E ​ = Δ M C ​ − ( Δ M A ​ + Δ M B ​ ) Δ M A ​ + Δ M B ​ = Δ M C ​ − c 2 Δ E ​ ​

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