First slide

Nuclear Binding energy

Question

The masses of neutron and proton are 1.0087amu and 1.0073 amu respectively. If the neutrons and protons combine to form helium nucleus of mass 4.0015 amu the binding energy of the helium nucleus will be

Moderate

A

29.4 MeV
B

20.8 MeV
C

27.3 MeV
D

14.MeV

Solution

$a l p h a p a r i t c l e {}_{2}^{4}{H e h a s 2 p r o t o n s a n d 2 n e u t r o n s a n d t h e i r m a s s e s a r e} 2 x 1.0078 a n d 2 x 1.0087 t o t a l m a s s o f 4.033 a m u m a s s d e f e c t = 0.0315 a m u b i n d i n g e n e r g y = 0.0315 x 931.5 M e V = 29.4 M e V$

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