Concept: This question compares the masses of subatomic particles. Protons, neutrons, and electrons are the fundamental constituents of atoms. Mesons are a type of subatomic particle composed of a quark and an antiquark.
Step 1: Approximate masses of common subatomic particles
Electron (\(e^-\)):
Mass \(\approx 9.109 \times 10^{-31} \text{ kg}\).
This is often considered as approximately \(1/1837\) of the mass of a proton.
Proton (\(p^+\)):
Mass \(\approx 1.6726 \times 10^{-27} \text{ kg}\).
This is approximately 1 atomic mass unit (amu).
Neutron (\(n^0\)):
Mass \(\approx 1.6749 \times 10^{-27} \text{ kg}\).
The neutron is slightly more massive than the proton, but their masses are very similar (also approx. 1 amu).
Meson: Mesons are a broad category of subatomic particles. Their masses vary depending on the type of meson, but they are generally intermediate between the mass of an electron and the mass of a proton/neutron. For example:
Pion (\(\pi\)-meson): Mass \(\approx 2.4 \times 10^{-28} \text{ kg}\) (approx. 264 times the electron mass, or 1/7 of proton mass).
Kaon (K-meson): Heavier than pions.
Even the lightest mesons (pions) are significantly more massive than electrons.
Step 2: Comparing the masses
Mass of Electron: \(\sim 9.1 \times 10^{-31} \text{ kg}\)
Mass of Proton: \(\sim 1.67 \times 10^{-27} \text{ kg}\)
Mass of Neutron: \(\sim 1.67 \times 10^{-27} \text{ kg}\)
Mass of typical Meson (e.g., pion): \(\sim 2.4 \times 10^{-28} \text{ kg}\)
Comparing the powers of 10, \(10^{-31}\) is much smaller than \(10^{-28}\) or \(10^{-27}\).
The order of masses is approximately:
Electron<Meson (pion)<Proton \(\approx\) Neutron.
The handwritten note "e<p<n" on the image (implying mass comparison, though typically p \(\approx\) n with n slightly heavier) supports that electron is the lightest of these three.
Step 3: Identifying the lightest particle
The electron has by far the smallest mass among the options listed (and among the fundamental constituents of an atom).