Find the energy released in the reaction 1H2+1H2→2He4 if binding energy per nucleon for deuteron and α particles are x1 and x2, respectively.
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a
4x2−x1
b
4x1+x2
c
x1−x2
d
x1+x2
answer is A.
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Detailed Solution
The binding energy on reactant side (i.e., deutrons) is 4×x1=4x1The binding energy on product side (i.e., α-particle) is 4×x2=4x2So, energy released Q is4x2−4x1=4x2−x1