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Wave Optics

Question
CBSEENPH12039289

A nucleus with mass number A = 240 and BE/A = 7.6 MeV breaks into two fragments, each of A = 120 with BE/A = 8.5 MeV. Calculate the released energy.

                                               OR

Calculate the energy in the fusion reaction: 

straight H presubscript 1 presuperscript 2 space plus space straight H presubscript 1 presuperscript 2 space rightwards arrow He presubscript 2 presuperscript 3 space plus space straight n space comma

where space straight B. straight E. space of space straight H presubscript 1 presuperscript 2 space equals space 2.23 space MeV

space space space space space space space space space space space space straight B. straight E. space of space He presubscript 2 presuperscript 3 space equals space 7.73 space MeV

Solution

The B.E. of the nucleus of mass number 240, B1 = 7.6 x 240 = 1824 MeV
The B.E of each product nucleus, B2 = 8.5 x 120 - 1020 MeV
Then, the energy released as the nucleus breaks is given by, 
E = 2B2 - B1 = 2 x 1020 - 1824 = 216 MeV 
                                                 OR
Given: 
B.E of straight H presubscript 1 presuperscript 2 comma space straight E subscript 1 space equals space 2.23 space MeV
B.E of He presubscript 2 presuperscript 3 comma space straight E subscript 2 space equals space 7.73 space MeV
Energy in the fusion reaction is given by, 

increment straight E space equals space straight E subscript 2 space minus space 2 straight E subscript 1 space equals space 7.73 space minus space left parenthesis 2 space straight x space 2.23 right parenthesis space equals space 3.27 space MeV

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