The neutral deuterium atom, H, has a mass of 2.014102 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u. What is the binding energy of the
H nucleus? (1 u = 931.494 MeV/c²)

Question

The neutral deuterium atom, The neutral deuterium atom, H, has a mass of 2.014102 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u. What is the binding energy of the H nucleus? (1 u = 931.494 MeV/c<sup>2</sup>) A) 1.1 MeV B) 1.7 MeV C) 2.2 MeV D) 2.9 MeV E) 3.4 MeV

The neutral deuterium atom, H, has a mass of 2.014102 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u. What is the binding energy of the H nucleus? (1 u = 931.494 MeV/c<sup>2</sup>) A) 1.1 MeV B) 1.7 MeV C) 2.2 MeV D) 2.9 MeV E) 3.4 MeV

H, has a mass of 2.014102 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u. What is the binding energy of the The neutral deuterium atom, H, has a mass of 2.014102 u; a neutral hydrogen atom has a mass of 1.007825 u; a neutron has a mass of 1.008665 u; and a proton has a mass of 1.007277 u. What is the binding energy of the H nucleus? (1 u = 931.494 MeV/c<sup>2</sup>) A) 1.1 MeV B) 1.7 MeV C) 2.2 MeV D) 2.9 MeV E) 3.4 MeV

H nucleus? (1 u = 931.494 MeV/c²)

Quizplus · Accepted Answer

The mass of the deuterium nucleus is 2.014102 u. The mass of a proton and a neutron is 1.007277 u + 1.008665 u = 2.015942 u. Therefore, the mass defect of the deuterium nucleus is:

mass defect = (2.015942 u - 2.014102 u) = 0.00184 u

Using the mass-energy equivalence, the binding energy of the nucleus is:

binding energy = (0.00184 u) * (931.494 MeV/c^2) = 1.715 MeV

Therefore, the answer is C: 2.2 MeV (rounded to one decimal place).

The Neutral Deuterium Atom, H, Has a Mass of 2.014102