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QPages 441-442: Q3: HC Verma: Concepts of Physics - Volume 2 The Nucleus Pages 441-442: Q3 Solution: A free neutron decays to a proton but a free proton does not…
⚠️ Common Exam Traps & Conceptual Pitfalls
Students often choose the charge‑or composition‑based options, overlooking that a particle can only decay if its rest mass exceeds the total rest mass of the decay products. Remember that a free neutron ($m_n\approx 939.6\,\text{MeV}$) can beta‑decay to a proton ($m_p\approx 938.3\,\text{MeV}$) plus an electron and an antineutrino because the mass excess provides the kinetic energy; a proton lacks this excess, so it cannot decay to a neutron.
A free neutron decays to a proton but a free proton does not decay to a neutron. This is because
Multiple Choice Options
- A neutron is a composite particle made of a proton and an electron whereas proton is a fundamental particle
- B neutron is an uncharged particle whereas proton is a charged particle
- C neutron has large rest mass than the proton
- D weak forces can operate in a neutron but not in a proton
Step-by-Step Verified Solution
**Answer:** (c) neutron has large rest mass than the proton.
**Step-by-Step Explanation:**
A free neutron decays to a proton because the neutron has greater rest mass than the proton.
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