$A$ fission reaction is given by ${ }_{92}^{236} U \rightarrow{ }_{54}^{140} Xe +{ }_{38}^{94} Sr + x + y$,where $x$ and $y$ are two particles. Considering ${ }_{92}^{236} U$ to be at rest,the kinetic energies of the products are denoted by $K_{Xe}, K_{Sr}, K_x (2 \ MeV)$ and $K_y (2 \ MeV)$,respectively. Let the binding energies per nucleon of ${ }_{92}^{236} U, { }_{54}^{140} Xe$ and ${ }_{38}^{94} Sr$ be $7.5 \ MeV, 8.5 \ MeV$ and $8.5 \ MeV$ respectively. Considering different conservation laws,the correct option$(s)$ is(are):

  • A
    $x = n, y = n, K_{Sr} = 129 \ MeV, K_{Xe} = 86 \ MeV$
  • B
    $x = p, y = e^-, K_{Sr} = 129 \ MeV, K_{Xe} = 86 \ MeV$
  • C
    $x = p, y = n, K_{Sr} = 129 \ MeV, K_{Xe} = 86 \ MeV$
  • D
    $x = n, y = n, K_{Sr} = 86 \ MeV, K_{Xe} = 129 \ MeV$

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Similar Questions

The example of nuclear fusion is

An atomic bomb consists of two pieces of $_{92}U^{235}$ and a source of:

$A$ nucleus with mass number $240$ breaks into two fragments each of mass number $120$. The binding energy per nucleon of the unfragmented nucleus is $7.6 \, MeV$,while that of the fragments is $8.5 \, MeV$. The total gain in the binding energy in the process is (in $MeV$):

Consider the nuclear fission $Ne^{20} \to 2He^4 + C^{12}$. Given that the binding energy per nucleon of $Ne^{20}$,$He^4$,and $C^{12}$ are,respectively,$8.03\, MeV$,$7.07\, MeV$,and $7.86\, MeV$,identify the correct statement.

Assertion: Energy is released when heavy nuclei undergo fission or light nuclei undergo fusion.
Reason: For heavy nuclei,binding energy per nucleon increases with increasing $Z$,while for light nuclei,it decreases with increasing $Z$.

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