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JEE Main 2023 (31 Jan, Shift 1) · Radioactive Decays: Alpha, Beta, Gamma

Radioactive Decays: Alpha, Beta, Gamma question from JEE Main 2023 (31 Jan, Shift 1)

Q13JEE Main 2023 · 31 JAN · SHIFT 1Easy

Radioactive Decays: Alpha, Beta, Gamma

A free neutron decays into a proton but a free proton does not decay into neutron. This is because

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Answer: (b)

  1. A free particle can decay only if the products have less total rest mass (energy must be released).
  2. mn>mp+mem_n > m_p + m_e, so n→p+e−+νˉn \to p + e^- + \bar{\nu} is allowed.
  3. mp<mnm_p < m_n, so a free proton cannot turn into a neutron.
  4. So the answer is (b) neutron has larger rest mass than proton.
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