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Wave Optics

Question
CBSEENPH12039008

Distinguish between nuclear fission and fusion. Show how in both these processes energy is released.

Calculate the energy release in MeV in the deuterium-tritium fusion reaction: 

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Solution

Nuclear Fission

Nuclear Fusion

The process of breaking a heavy nucleus into two or more lighter nuclei.

The phenomenon of combining or fusing two or more lighter nuclei to form a single nucleus.

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The given equation is, 
straight H presubscript 1 presuperscript 2 straight space plus straight space straight H presubscript 1 presuperscript 3 rightwards arrow He presubscript 2 presuperscript 4 plus straight space straight n
Mass of the reactant, straight m subscript straight r space equals space straight m left parenthesis straight H presubscript 1 presuperscript 2 right parenthesis space plus space straight m left parenthesis straight H presubscript 1 presuperscript 2 right parenthesis

                                 = (2.014102 + 3.016049) u

                                 = 5.030151u  
Mass of the product, straight m subscript straight p space equals space straight m space left parenthesis He presubscript 2 presuperscript 4 right parenthesis space plus space straight m subscript straight n

                                 = (4.002603 + 1.008665) u

                                 = 5.011268 u 
Difference in energy, increment straight m straight space equals straight space straight m subscript straight r straight space minus straight space straight m subscript straight p

                                    = (5.030151 – 5.011268) u

                                    = 0.018883u 

Therefore, Energy released, E = increment straight m straight space straight c squared

                                      = 0.018883 × 931.5 MeV 

                                      = 17.589514 MeV 

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