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Question

Which of the following nuclides does not undergo fission with low energy (slow) neutrons ?

The correct answer is
$^{238}\text{U}$

Nuclide Fission with Slow Neutrons

Nuclear fission is the process where an atomic nucleus splits into smaller parts. The ability of a nuclide to undergo fission depends on the energy of the incident neutron.

Fissile vs. Fertile Nuclides:

  • Fissile nuclides readily undergo fission when struck by low-energy (slow) neutrons. Key examples include Uranium-235 ($^{235}\text{U}$), Plutonium-239 ($^{239}\text{Pu}$), and Uranium-233 ($^{233}\text{U}$). These are crucial for sustaining chain reactions in nuclear reactors.
  • Fertile nuclides do not easily fission with slow neutrons but can capture a neutron to transform into a fissile nuclide. Uranium-238 ($^{238}\text{U}$) is the most common fertile nuclide.

Fission Characteristics of $^{238}\text{U}$

While $^{235}\text{U}$, $^{239}\text{Pu}$, and $^{233}\text{U}$ are fissile with slow neutrons, $^{238}\text{U}$ primarily undergoes fission only when exposed to high-energy (fast) neutrons. It predominantly captures slow neutrons, leading to the formation of $^{239}\text{U}$, which then decays to Neptunium-239 ($^{239}\text{Np}$) and subsequently to Plutonium-239 ($^{239}\text{Pu}$), a fissile material.

Therefore, $^{238}\text{U}$ is the nuclide among the choices that does not undergo fission with low energy (slow) neutrons.

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Important Questions from Nuclear Physics

  1. Spin \(\frac{1}{2}\)  fermions of mass m and 4m are in a harmonic potential V(x) =  \(\frac{1}{2}\) kx 2 . Which configuration of 4 such particles has the lowest value of the ground state energy?
  2. Charged pions π decay to muons μ and anti-muon neutrinos v̅ μ ∶ π → μ + v̅ μ . Take the rest masses of a muon and a pion to be 105 MeV and 140 MeV, respectively. The probability that the measurement of the muon spin along the direction of its momentum is positive, is closest to
  3. The outermost shell of an atom of an element is 3d3. The spectral symbol for the ground state is

  4. An atom with proton number 84 and nucleon number 216 decays into a new element. In this process, it emits an alpha particle. What is the structure of the new nucleus after the emission?

  5. Discoverer of Radioactivity is

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