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

1. \(804~\text{MeV}\)

2. \(216~\text{MeV}\)

3. \(0.9~\text{MeV}\)

4. \(9.4~\text{MeV}\)

Subtopic: Nuclear Binding Energy |

63%

From NCERT

NEET - 2021

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The Binding energy per nucleon of \(^{7}_{3}\mathrm{Li}\) and \(^{4}_{2}\mathrm{He}\) nucleon are \(5.60~\text{MeV}\) and \(7.06~\text{MeV}\), respectively. In the nuclear reaction \(^{7}_{3}\mathrm{Li} + ^{1}_{1}\mathrm{H} \rightarrow ^{4}_{2}\mathrm{He} + ^{4}_{2}\mathrm{He} +Q\), the value of energy \(Q\) released is:

1. \(19.6~\text{MeV}\)

2. \(-2.4~\text{MeV}\)

3. \(8.4~\text{MeV}\)

4. \(17.3~\text{MeV}\)

Subtopic: Nuclear Binding Energy |

65%

From NCERT

AIPMT - 2014

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The mass of a ${}_{3}{}^{7}\mathrm{Li}$ nucleus is \(0.042~\text{u}\) less than the sum of the masses of all its nucleons. The binding energy per nucleon of the ${}_{3}{}^{7}\mathrm{Li}$ nucleus is near:

1. \(4.6~\text{MeV}\)

2. \(5.6~\text{MeV}\)

3. \(3.9~\text{MeV}\)

4. \(23~\text{MeV}\)

Subtopic: Nuclear Binding Energy |

72%

From NCERT

AIPMT - 2010

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The binding energy per nucleon in deuterium and helium nuclei are \(1.1\) MeV and \(7.0\) MeV, respectively. When two deuterium nuclei fuse to form a helium nucleus the energy released in the fusion is:

1. \(2.2\) MeV

2. \(28.0\) MeV

3. \(30.2\) MeV

4. \(23.6\) MeV

Subtopic: Nuclear Binding Energy |

82%

From NCERT

AIPMT - 2010

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A nucleus ${}_{Z}{X}^{A}$ has a mass represented by \(M(A, Z).\) If *\(M_P\)* and *\(M_n\)* denote the mass of proton and neutron respectively and BE the binding energy, then:

1. $BE=\left[M\right(A,Z)-Z{M}_{p}-(A-Z\left){M}_{n}\right]{c}^{2}$

2. $BE=[Z{M}_{p}+(A-Z){M}_{n}-M(A,$ $Z\left)\right]{c}^{2}$

3. $BE=[Z{M}_{p}+A{M}_{n}-M-(A,$ $Z\left)\right]{c}^{2}$

4. $BE=M(A,$ $Z)-Z{M}_{p}-(A-Z){M}_{n}$

Subtopic: Nuclear Binding Energy |

82%

From NCERT

AIPMT - 2007

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The binding energy of deuteron is \(2.2~\text{MeV}\) and that of \(_2\mathrm{He}^{4}\) is \(28~\text{MeV}\). If two deuterons are fused to form one \(_{2}\mathrm{He}^{4}\), ${\mathrm{}}^{}$then the energy released is:

1. \(25.8~\text{MeV}\)

2. \(23.6~\text{MeV}\)

3. \(19.2~\text{MeV}\)

4. \(30.2~\text{MeV}\)

Subtopic: Nuclear Binding Energy |

73%

From NCERT

AIPMT - 2006

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In the reaction \({ }_1^2 \mathrm{H}+{ }_1^3 \mathrm{H} \longrightarrow{ }_2^4 \mathrm{He}+{ }_0^1 n \) , if the binding energies of \({ }_1^2 \mathrm{H},~_1^3 \mathrm{H} ~\text{and}~_2^4\mathrm{H}\) He are respectively \(a,b\) and \(c\) (in MeV,) then the energy (in MeV) released in this reaction is:

1. \(a+b+c\)

2. \(c+a-b\)

3. \(c-a-b\)

4. \(a+b-c\)

1. \(a+b+c\)

2. \(c+a-b\)

3. \(c-a-b\)

4. \(a+b-c\)

Subtopic: Nuclear Binding Energy |

75%

From NCERT

AIPMT - 2005

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If in a nuclear fusion process. the masses of the fusing nuclei be \(m_1\) and \(m_2\) and the mass of the resultant nucleus be \(m_3,\) then:

1. | \( m_3=\left|m_1-m_2 \right|\) | 2. | \( m_3<\left ( m_1+m_2 \right ) \) |

3. | \( m_3>\left ( m_1+m_2 \right ) \) | 4. | \( m_3=\left ( m_1+m_2 \right ) \) |

Subtopic: Nuclear Binding Energy |

78%

From NCERT

AIPMT - 2004

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A nucleus represented by the symbol \({}_{Z}^{A}\mathrm{X}\) has:

1. | \(Z\) protons and \(A-Z\) neutrons |

2. | \(Z\) protons and \(A\) neutrons |

3. | \(A\) protons and \(Z-A\) neutrons |

4. | \(Z\) neutrons and \(A-Z\) protons |

Subtopic: Nuclear Binding Energy |

90%

From NCERT

AIPMT - 2004

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M_{P} denotes the mass of a proton and M_{n} that of a neutron. A given nucleus, of binding energy B, contains Z protons and N neutrons. The mass M(N, Z) of the nucleus is given by:

(c is the velocity of light )

1. M(N, Z) = NM_{n} + ZM_{P} + Bc^{2 }

2. M(N, Z) = NM_{n} + ZM_{P} – B/c^{2}

3. M(N, Z) = NM_{n} + ZM_{P} + B/c^{2}

4. M(N, Z) = NM_{n} + ZM_{P} – Bc^{2}

Subtopic: Nuclear Binding Energy |

87%

From NCERT

AIPMT - 2004

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