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Binding energy is the energy required to disassemble the nucleus of an atom into its constituent protons and neutrons. It is represented on a 'per nucleon' basis (the binding energy of a nucleus divided by the number of protons and neutrons in the nucleus), which allows for the comparison of different nuclei. In a nuclear reaction, the parent nucleus breaks down into daughter nuclei, and energy may be released or absorbed in the process.

In general, the more tightly bound the nucleons are within the nucleus, the higher the binding energy per nucleon. This means that when a parent nucleus undergoes a nuclear reaction and transforms into two daughter nuclei, we can compare their binding energies per nucleon to determine the energy released or absorbed during the reaction. A higher binding energy per nucleon for the daughter nuclei (E2) compared to the parent nucleus (E1) indicates that the daughter nuclei are more tightly bound, meaning energy is released in the form of radiation during the reaction. Conversely, if the parent nucleus has a higher binding energy per nucleon, it means energy is absorbed during the reaction. Keeping this concept in mind, we can now evaluate the four options provided.

(A) E1=2E2: This suggests that the binding energy per nucleon of the parent nucleus is twice as high as that of the daughter nuclei. This implies that energy has been absorbed during the reaction, and the daughter nuclei are less tightly bound. (B) E2=2E1: This suggests that the binding energy per nucleon of the daughter nuclei is twice as high as that of the parent nucleus. This implies that energy has been released during the reaction, and the daughter nuclei are more tightly bound. (C) E1>E2: This suggests that the binding energy per nucleon of the parent nucleus is higher than that of the daughter nuclei, meaning that the daughter nuclei are less tightly bound, and energy is absorbed during the reaction. (D) E2>E1: This suggests that the binding energy per nucleon of the daughter nuclei is higher than that of the parent nucleus, meaning that the daughter nuclei are more tightly bound, and energy is released during the reaction.

Since the binding energy per nucleon (E2) of the daughter nuclei is higher than the binding energy per nucleon (E1) of the parent nucleus, energy is released during the reaction, and the daughter nuclei are more tightly bound. The correct option is (D) E2>E1.