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Long Answer Questions · Q16

Q.Explain what are nuclear fission and fusion giving an example of each. Write down the formulae for energy generated in each of these processes.

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Nuclear fission is the splitting of a heavy nucleus into two lighter nuclei. It happens because, per Fig.15.6, mid-mass nuclei (A roughly 50-150) have HIGHER binding energy per nucleon than very heavy nuclei (A around 230), so splitting a heavy nucleus into two mid-mass fragments releases energy. A representative example is one of 236U^{236}U's fission channels, 92236U→ 53137I+ 3997Y+2n_{92}^{236}U\rightarrow\,_{53}^{137}I+\,_{39}^{97}Y+2n, whose energy release is given by Q=[mU−mI−mY−2mn]c2Q=[m_U-m_I-m_Y-2m_n]c^2, working out to about 177 MeV for this particular channel. Nuclear fusion is the opposite process, combining two light nuclei (A below about 40, which also sit BELOW the binding-energy peak) into one heavier, more tightly bound nucleus, again releasing energy for exactly the same underlying reason -- moving toward the peak of Fig.15.6's curve. The Sun's core fusion is the standard example: the net reaction 4 1H→ 4He+2e++2ν+26.74\,^1H\rightarrow\,^4He+2e^++2\nu+26.7 MeV (proceeding through several intermediate steps, not a literal 4-body collision), with Q given by [4mp−mHe−2me]c2[4m_p-m_{He}-2m_e]c^2 (about 24.7 MeV if the small energy carried away by the two n …

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