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Question: If the binding energy per nucleon in \(Li^{7}\)and \(He^{4}\) nuclei are respectively 5.60 MeV and 7...

If the binding energy per nucleon in Li7Li^{7}and He4He^{4} nuclei are respectively 5.60 MeV and 7.06 MeV, then energy of reaction Li7+p26mu2He4Li^{7} + p \rightarrow 2\mspace{6mu}_{2}He^{4} is.

A

19.6 MeV

B

2.4 MeV

C

8.4 MeV

D

17.3 MeV

Answer

17.3 MeV

Explanation

Solution

B.E. of Li7=39.206muMeVLi^{7} = 39.20\mspace{6mu} MeVand He4=28.246muMeVHe^{4} = 28.24\mspace{6mu} MeV

Hence binding energy of 2He4=56.486muMeV2He^{4} = 56.48\mspace{6mu} MeV

Energy of reaction =56.4839.20=17.286muMeV= 56.48 - 39.20 = 17.28\mspace{6mu} MeV.