The binding energy per nucleon versus mass nu | vedclass

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(C) Energy is released in a nuclear reaction if the total binding energy of the products is greater than the total binding energy of the reactants. Th

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$W 	o 2Y$

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(C) Energy is released in a nuclear reaction if the total binding energy of the products is greater than the total binding energy of the reactants. This corresponds to an increase in the binding energy per nucleon.For nuclear fission,a heavy nucleus splits into lighter nuclei with higher binding energy per nucleon. For nuclear fusion,lighter nuclei combine to form a heavier nucleus with higher binding energy per nucleon.Looking at the graph:- $Z$ has a mass number of $30$ and a binding energy per nucleon of $5.0 	ext{ MeV}$.- $Y$ has a mass number of $60$ and a binding energy per nucleon of $8.5 	ext{ MeV}$.- $X$ has a mass number of $90$ and a binding energy per nucleon of $8.0 	ext{ MeV}$.- $W$ has a mass number of $120$ and a binding energy per nucleon of $7.5 	ext{ MeV}$.In the process $W 	o 2Y$:- Reactant $W$ $(A=120)$ has a total binding energy of $120 	imes 7.5 = 900 	ext{ MeV}$.- Products $2Y$ $(2 	imes 60 = 120)$ have a total binding energy of $2 	imes (60 	imes 8.5) = 1020 	ext{ MeV}$.- Since the total binding energy of the products $(1020 	ext{ MeV})$ is greater than that of the reactant $(900 	ext{ MeV})$,energy is released.

$X=x$	$P(X=x)$
$0$	$0.4$
$1$	$0.3$
$2$	$0.1$
$3$	$0.1$
$4$	$0.1$

The binding energy per nucleon versus mass number curve for nuclei is shown in the figure. $W, X, Y$ and $Z$ are four nuclei indicated on the curve. The process that would release energy is

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