Consider the nuclear reaction X^{200} rightar | vedclass

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Question

(B) The energy released in a nuclear reaction is given by the difference between the total binding energy of the products and the total binding energy

Vedclass · Accepted Answer

$160$

Vedclass · Answer

(B) The energy released in a nuclear reaction is given by the difference between the total binding energy of the products and the total binding energy of the reactants.Total binding energy of the reactant $X = 200 	imes 7.4 \, MeV = 1480 \, MeV$.Total binding energy of the products $A$ and $B = (110 	imes 8.2 \, MeV) + (90 	imes 8.2 \, MeV) = (110 + 90) 	imes 8.2 \, MeV = 200 	imes 8.2 \, MeV = 1640 \, MeV$.Energy released $Q = 	ext{Total BE of products} - 	ext{Total BE of reactants}$.$Q = 1640 \, MeV - 1480 \, MeV = 160 \, MeV$.

Consider the nuclear reaction $X^{200} \rightarrow A^{110} + B^{90}$. If the binding energy per nucleon for $X$,$A$,and $B$ is $7.4 \, MeV$,$8.2 \, MeV$,and $8.2 \, MeV$ respectively,then the amount of energy released is .......... $MeV$.

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