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 fusion reaction:

, where BE of

The released energy is

Given

The mass number of the nucleus is given as , the binding energy of the element after breakage of the element it splits into two fragments of binding energy = each.

Formula Used

The formula used for the measurement of released energy is done by mass defect which produces the energy released by differentiating or subtracting the binding energy of the parent from the daughter element.

where

E is the energy released; n is the number of daughter elements, is the Binding energy of the daughter element, is the binding energy of the parent element.

The binding energy of the daughter element is given by

The binding energy of the parent element is given by

The numbers of fragments are.

Therefore, the energy released is

Therefore, the released energy is.

OR

The energy in the fusion reaction is

Given

The reaction formula is given as

The binding energy for = and

Formula Used

The formula used for the measurement of fusion energy is the subtraction of the lower element binding energy from the binding energy of the fused element.

where

E is the energy released; n is the number of lower energy elements, is the Binding energy of the lower energy element, is the binding energy of the fused element.

The binding energy of the = and

Therefore, the energy released is

The number of lower energy element fusing is

Therefore, the energy released by fusion is