The neutral helium atom,
He,has a mass of 4.002603 u,a neutron has a mass of 1.008665 u,a proton has a mass of 1.007277 u,and a neutral hydrogen atom has a mass of 1.007825 u.What is the binding energy of the
He nucleus? (1 u = 931.5 MeV/c²)

Question

The neutral helium atom, The neutral helium atom, He,has a mass of 4.002603 u,a neutron has a mass of 1.008665 u,a proton has a mass of 1.007277 u,and a neutral hydrogen atom has a mass of 1.007825 u.What is the binding energy of the He nucleus? (1 u = 931.5 MeV/c<sup>2</sup>) A) 20.5 MeV B) 22.4 MeV C) 27.3 MeV D) 28.3 MeV E) 23.4 MeV

The neutral helium atom, He,has a mass of 4.002603 u,a neutron has a mass of 1.008665 u,a proton has a mass of 1.007277 u,and a neutral hydrogen atom has a mass of 1.007825 u.What is the binding energy of the He nucleus? (1 u = 931.5 MeV/c<sup>2</sup>) A) 20.5 MeV B) 22.4 MeV C) 27.3 MeV D) 28.3 MeV E) 23.4 MeV

He,has a mass of 4.002603 u,a neutron has a mass of 1.008665 u,a proton has a mass of 1.007277 u,and a neutral hydrogen atom has a mass of 1.007825 u.What is the binding energy of the The neutral helium atom, He,has a mass of 4.002603 u,a neutron has a mass of 1.008665 u,a proton has a mass of 1.007277 u,and a neutral hydrogen atom has a mass of 1.007825 u.What is the binding energy of the He nucleus? (1 u = 931.5 MeV/c<sup>2</sup>) A) 20.5 MeV B) 22.4 MeV C) 27.3 MeV D) 28.3 MeV E) 23.4 MeV

He nucleus? (1 u = 931.5 MeV/c²)

Quizplus · Accepted Answer

The binding energy of the 11ea6c4e_0091_b784_9875_c9c7ef88087d_TB6214_11
He nucleus can be calculated using the formula:

BE = [Z(mass of a proton) + (A-Z)(mass of a neutron) - mass of the nucleus] c^2

where Z is the atomic number, A is the mass number, and c is the speed of light.

For 11ea6c4e_0091_b784_9875_c9c7ef88087d_TB6214_11He, Z=2 and A=4.

BE = [2(1.007277 u) + 2(1.008665 u) - 4.002603 u] c^2

BE = 28.2969 u x (931.5 MeV/u)

BE = 26.341 MeV

Therefore, the binding energy of the 11ea6c4e_0091_b784_9875_c9c7ef88087d_TB6214_11He nucleus is 28.3 MeV, which is closest to option D (28.3 MeV).

The Neutral Helium Atom