In a fission reaction ${}_{92}^{236}U \to {}^{117}X + {}^{117}Y + n + n$,the binding energy per nucleon of $X$ and $Y$ is $8.5\,MeV$,whereas that of ${}^{236}U$ is $7.6\,MeV$. The total energy liberated will be about:

  • A
    $200\,KeV$
  • B
    $2\,MeV$
  • C
    $200\,MeV$
  • D
    $2000\,MeV$

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Control rods used in nuclear reactors are made of:

The disintegration energy $Q$ for the nuclear fission of ${ }^{235} U \rightarrow{ }^{140} Ce+{ }^{94} Zr+n$ is $\_ \text{MeV}$.
Given atomic masses of:
${ }^{235} U: 235.0439 \text{ u}, { }^{140} Ce: 139.9054 \text{ u},$
${ }^{94} Zr: 93.9063 \text{ u}, n: 1.0086 \text{ u},$
Value of $c^2 = 931 \text{ MeV/u}$.

Match the nuclear processes given in column $I$ with the appropriate option$(s)$ in column $II$.
Column $I$ Column $II$
$A$. Nuclear fusion $P$. Absorption of thermal neutrons by ${}_{92}^{235}U$
$B$. Fission in a nuclear reactor $Q$. ${}_{27}^{60}Co$ nucleus
$C$. $\beta$-decay $R$. Energy production in stars via hydrogen conversion to helium
$D$. $\gamma$-ray emission $S$. Heavy water
$T$. Neutrino emission

$A$ nucleus with mass number $220$ initially at rest emits an alpha particle. If the $Q$ value of the reaction is $5.5 \ MeV$,calculate the kinetic energy of the alpha particle. (in $MeV$)

The binding energy of a deuteron is $2.2 \, MeV$ and the binding energy of $_2^4He$ is $28 \, MeV$. If two deuterons fuse to form a $_2^4He$ nucleus,the energy released is ...... $MeV$.

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