Atoms And Nuclei Question 336
Question: The binding energy of deuteron $ _{1}^{2}H $ is 1.15 A MeV per nucleon and an alpha particle $ _{2}^{4}He $ has a binding energy of 7.1 MeV per nucleon. Then in the reaction $ _{1}^{2}He+ _{1}^{2}He\to _{2}^{2}He+Q $ the energy released Q is:
Options:
A) 5.95 MeV
B) 26.1 MeV
C) 23.8 MeV
D) 289.4 MeV
Show Answer
Answer:
Correct Answer: C
Solution:
- Given, $ _{1}H^{2}+ _{1}H^{2}\to _{2}H^{4}+Q $
The total binding energy of the deutrons
$ =4\times 1.15=4.60,MeV $
The total binding energy of alpha particle $ =4\times 7.1=28.4,MeV $
The energy released in the process $ =28.4-4.60=23.8,MeV $ .
