Question

The binding energy per nucleon in deuterium and helium nuclei are 1.1 MeV and 7.0 MeV, respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is

23.6 MeV

2.2 MeV

28.0 MeV

30.2 MeV

Name: Wired Faculty - The Best Learning App
Rating: 4.6 (1864 reviews)

Solution

23.6 MeV

Mass space of space straight H presubscript 1 superscript 2 space equals space 2.01478 space amu Mass space of space two space deuterium space equals space 2 space straight x space 2.01478 equals space 4.02956 Energy space equivalent space to space straight H presubscript 2 superscript 2 space equals space 4.02956 space straight x space 1.2 space equals space 4.4 space MeV Energy space equivalent space to space space He presubscript 2 superscript 4 space space equals space 4.00388 space straight x space 7 space equals space 28 space MeV Energy space released space equals space left parenthesis 28 minus 4.4 right parenthesis space equals space 23.6 space MeV

For Daily Free Study Material Join wiredfaculty