Fundamental particle masses: approximately how does the electron’s mass compare to the proton’s mass?

Introduction / Context:Mass ratios among subatomic particles are constants used throughout atomic physics, spectroscopy, and accelerator calculations. The electron-to-proton mass ratio is a widely memorized benchmark value.

Given Data / Assumptions:

• Proton rest mass ≈ 1.6726 × 10^-27 kg.
• Electron rest mass ≈ 9.1094 × 10^-31 kg.
• We consider rest masses, non-relativistic comparison.

Concept / Approach:

Divide electron mass by proton mass to obtain the ratio. The accepted approximate ratio is m_e/m_p ≈ 1/1836 (more precisely ≈ 1/1836.15). Hence, the electron is much lighter than the proton by roughly three orders of magnitude.

Step-by-Step Solution:

Verification / Alternative check:

Tables of fundamental constants list m_p/m_e ≈ 1836.152673, confirming the common approximation 1/1836 for m_e/m_p.

Why Other Options Are Wrong:

equal, infinite, about half, 1836 times: All contradict well-established mass ratios from experiment.

Common Pitfalls:

Mixing up which particle is heavier; misplacing decimal exponents when estimating the ratio.

Final Answer:

1/1836 of the proton mass