An alpha particle (4He) has a mass 4.00300amu. A proton has a mass 1.00783 amu and a neutron has a mass 1.00867amu respectively. The binding energy of alpha estimated from these data is closest to:
27.9MeV
22.3MeV
35.0MeV
20.4MeV
A
22.3MeV
B
35.0MeV
C
20.4MeV
D
27.9MeV
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Solution
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The mass defect, Δm=2(mp+mn)−mHe =2(1.00783+1.00867)−4.00300 =0.300amu So, the binding energy E=Δmc2=0.03×931MeV=27.9MeV
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