An $\alpha$-particle of energy $E$ is liberated during the decay of a nucleus of mass number $236$. The total energy released in this process is

  • A
    $58 E$
  • B
    $59 E$
  • C
    $\frac{58 E}{59}$
  • D
    $\frac{59 E}{58}$

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$A$ nuclear reactor generates power by fission of ${}_{92}U^{235}$ into two equal fragments of ${}_{46}Pd^{116}$ with the emission of two $\gamma$-rays of $5.2 \text{ MeV}$ each and three neutrons. The average binding energies per nucleon of ${}_{92}U^{235}$ and ${}_{46}Pd^{116}$ are $7.2 \text{ MeV}$ and $8.2 \text{ MeV}$ respectively. The usable energy released per fission event is ......... $\text{MeV}$.

The graph of binding energy per nucleon $(BE/A)$ versus mass number $(A)$ is shown in the figure. Which of the following options is correct?

Kinetic energy of the emitted $\alpha-$ particle in the $\alpha-$ decay of ${}_{88}^{226}Ra$ will be,.......... $MeV$ (where $m_{\alpha} = 4.00260 \, u$,$m({}_{88}^{226}Ra) = 226.02540 \, u$ and $m({}_{86}^{222}Rn) = 222.01750 \, u$).

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If $200 \, MeV$ energy is released in the fission of a single nucleus of ${}_{92}^{235}U$,the number of fissions required per second to produce a power of $1 \, kW$ is:

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Match the following items in Column-$A$ with their corresponding principles in Column-$B$:
Column-$A$Column-$B$
$A$. Rocket propulsion$P$. Bernoulli's principle in fluid dynamics
$B$. Aeroplane$Q$. Total internal reflection of light
$C$. Optical fibres$R$. Newton's laws of motion
$D$. Fusion test reactor$S$. Magnetic confinement of plasma
$T$. Photoelectric effect

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