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Q.(a) Draw a plot showing the variation of potential energy of a pair of nucleons as a function of their separation. Mark the regions where the nuclear force is

(i) attractive and
(ii) repulsive.
(b) In the nuclear reaction
[!FORMULA] n+92235U⟶54aXe+b94Sr+2nn + {}^{235}_{92}U \longrightarrow {}^{a}_{54}Xe + {}^{94}_{b}Sr + 2n
determine the values of a and b.
Uttar Pradesh UpmspCBSE Class XII Board 2018Subjective· 3mImportance★★★★★
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Potential energy of a pair of nucleons versus separation r: strongly repulsive for r < r0 (~0.8 fm), attractive for r > r0, approaching zero at large r.
Potential energy of a pair of nucleons versus separation r: strongly repulsive for r < r0 (~0.8 fm), attractive for r > r0, approaching zero at large r.

Draw PE(r) with a minimum near r0≈0.8r_0\approx0.8 fm; r<r0r<r_0 repulsive, r>r0r>r_0 attractive. Balancing the reaction: a=140a=140, b=38b=38.

(a) Potential energy of two nucleons. Plot potential energy UU (vertical) against separation rr (horizontal). The curve starts high and positive at very small rr (strong short-range repulsion), drops to a minimum at r0≈0.8 r_0\approx0.8\,fm, then rises back toward zero for larger rr.

  • Repulsive region: r<r0≈0.8 r<r_0\approx0.8\,fm (the rising, positive-PE part).
  • Attractive region: r>r0r>r_0 (where the force pulls nucleons together, PE increasing toward zero). …

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