Subatomic masses: a free neutron has a rest mass approximately equal to the mass of which neutral atom?

Difficulty: Easy

Correct Answer: Hydrogen

Explanation:


Introduction / Context:
Comparing subatomic particle masses with atomic masses offers useful intuition in nuclear physics. The neutron is electrically neutral and slightly heavier than the proton. Matching its mass to a familiar neutral atom highlights scale and aids in back-of-the-envelope estimates.


Given Data / Assumptions:

  • Neutron rest mass ≈ 1.008665 atomic mass units.
  • Hydrogen atom (protium) mass ≈ 1.007825 atomic mass units.
  • Deuterium atom mass ≈ 2.0141 atomic mass units; helium atom ≈ 4.0026 atomic mass units.


Concept / Approach:
The hydrogen atom consists of one proton and one electron. Despite the electron’s small mass, the hydrogen atom’s total mass is very close to 1 u and is near the neutron’s mass. Deuterium and helium atoms are about two and four atomic mass units, respectively, and therefore not “approximately equal” to the neutron mass.


Step-by-Step Solution:

1) List representative masses: m_n ≈ 1.008665 u; m_H(atom) ≈ 1.007825 u.2) Compare differences: |m_n − m_H| ≈ 0.00084 u, a small relative deviation.3) Conclude the closest neutral atom mass to a neutron is hydrogen.


Verification / Alternative check:
Mass-energy equivalence (E = m*c^2) tracks the small mass differences; binding energies account for fine differences between free nucleons and bound atomic systems.


Why Other Options Are Wrong:

  • Deuterium: roughly twice the neutron mass.
  • Helium: roughly four times the neutron mass.
  • None of these/Lithium: much larger deviations from neutron mass.


Common Pitfalls:
Confusing “hydrogen nucleus” (a proton) with the “hydrogen atom” (proton + electron) when comparing masses; overlooking orders of magnitude.


Final Answer:
Hydrogen

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