In a reactor, $2$ kg of ${ }_{92} \mathrm{U}^{235}$ fuel is fully used up in $30$ days. The energy released per fission is $200$ MeV. Given that the Avogadro number, $\mathrm{N}=6.023 \times 10^{26}$ per kilo mole and $1~ \mathrm{eV}=1.6 \times 10^{-19}~\text{J}$ . The power output of the reactor is close to:
1. $125 ~\text{MW}$
2. $60~\text{MW}$
3. $35 ~\text{MW}$
4. $54 ~\text{MW}$

Subtopic: Mass-Energy Equivalent |

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Q7:

Given the following particle masses:
$m_p=1.0072~\text{u}$ (proton)
$m_n=1.0087~\text{u}$ (neutron)
$m_e=0.000548~\text{u}$ (electron)
$m_\nu=0~\text{u}$ (antineutrino)
$m_d=2.0141~\text{u}$ (deuteron)
Which of the following processes is allowed, considering the conservation of energy and momentum?

1.	$n+p \rightarrow d+\gamma$
2.	$e^{+}+e^{-} \rightarrow \gamma$
3.	$n+n\rightarrow \text{}$ deuterium atom (electron bound to the nucleus)
4.	$p \rightarrow n+e^{+}+\nu$

Subtopic: Mass-Energy Equivalent |

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Q5:

We are given the following atomic masses:
${ }_{92}^{238} \mathrm{U}=238.05079~\text{u},{ }_2^4 \mathrm{He}=4.00260~\text{u} \\ { }_{90}^{234} \mathrm{Th}=234.04363~\text{u},{ }_1^1 \mathrm{H}=1.00783~\text{u}\\ { }_{91}^{237} \mathrm{~Pa}=237.05121~\text{u}$
Here the symbol Pa is for the element protactinium $(Z=91)$ .
Then:

1.	${}_{92}^{238}\mathrm{U}$ can not spontaneously emit a proton.
2.	${}_{92}^{238}\mathrm{U}$ can spontaneously emit a proton.
3.	The $Q\text-$ value of the process is negative.
4.	Both (1) and (3) are correct.

Subtopic: Nuclear Binding Energy |

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Q4:

We are given the following atomic masses:
${ }_{92}^{238} \mathrm{U}=238.05079~\text{u},{ }_2^4 \mathrm{He}=4.00260~\text{u} \\ { }_{90}^{234} \mathrm{Th}=234.04363~\text{u},{ }_1^1 \mathrm{H}=1.00783~\text{u}\\ { }_{91}^{237} \mathrm{~Pa}=237.05121~\text{u}$
Here the symbol $\mathrm{Pa}$ is for the element protactinium $(Z=91)$ .
The energy released during the alpha decay of ${}^{238}_{92}\mathrm{U}$ is:
1. $6.14~\text{MeV}$
2. $7.68~\text{MeV}$
3. $4.25~\text{MeV}$
4. $5.01~\text{MeV}$

Subtopic: Nuclear Binding Energy |

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Q8:

Atomic number increases in:

1.	$\alpha\text-$ decay.
2.	$\beta^{-}\text-$ decay.
3.	$\beta^{+}\text{-}$ decay.
4.	$K\text{-}$ electron capture.

Subtopic: Types of Decay |

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Q9:

A force that holds two protons by the same force as the force between two neutrons in a nucleus is:
1. An electric force
2. Weak nuclear force
3. Strong nuclear force
4. Gravitational force

Subtopic: Nuclear Binding Energy |

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Q10:

The strong nuclear force between two nucleons:

1.	is only attractive force.
2.	is only repulsive force.
3.	maybe attractive or repulsive in nature depending on the distance.
4.	is a central force.

Subtopic: Nuclear Binding Energy |

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Q11:

The nuclear radius of a

_{3}^{8} L i

${ }_{3}^{8} \mathrm{L i}$ nucleus is

2.2 fm

$2.2~\text{fm}$ . The nuclear radius of

_{30}^{64} Z n

${ }_{30}^{64} \mathrm{Zn}$ is nearly:
1.

4.4 fm

$4.4~\text{fm}$
2.

7 fm

$7~\text{fm}$
3.

22 fm

$22~\text{fm}$
4.

17.6 fm

$17.6~\text{fm}$

Subtopic: Nucleus |

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Q12:

Let the average nuclear force exerted by a proton on a proton be

F_{p p}

$\mathrm{F_{pp}}$ , by a proton on a neutron be

F_{p n}

$\mathrm{F_{pn}}$ and by a neutron on a neutron be

F_{n n}

$\mathrm{F_{nn}}$ . When their separations are nearly

1 fm

$1~\text{fm}$ , then,

1.	$\mathrm{F}_{\mathrm{pp}}<\mathrm{F}_{\mathrm{pn}}<\mathrm{F}_{\mathrm{nn}}$	2.	$\mathrm{F}_{\mathrm{pn}}>\mathrm{F}_{\mathrm{pp}}>\mathrm{F}_{\mathrm{nn}}$
3.	$\mathrm{F}_{\mathrm{pp}}>\mathrm{F}_{\mathrm{pn}}>\mathrm{F}_{\mathrm{nn}}$	4.	$\mathrm{F}_{\mathrm{pp}}=\mathrm{F}_{\mathrm{pn}}=\mathrm{F}_{\mathrm{nn}}$

Subtopic: Nuclear Binding Energy |

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Q13:

A radioactive nucleus undergoes a cascade decay (i.e. two decays, one followed by another):

A \to B \to C

$A\rightarrow B\rightarrow C$
If each of the decays can be either

α

$\alpha$ or

β^{-}

$\beta^-$ , then which of the following values of

Z_{C}

$Z_C$ is possible? (

Z_{C}

$Z_C$ &

Z_{A}

$Z_A$ are the atomic numbers of

C

$C$ &

A

$A$ .)
1.

Z_{A} + 2

$Z_A+2$
2.

Z_{A} - 1

$Z_A-1$
3.

Z_{A} - 4

$Z_A-4$
4. Any of the above

Subtopic: Types of Decay |

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