Nuclear Properties, Mass Defect & Binding Energy questions with solutions

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• MCQeasyNuclear physicsNuclear Properties, Mass Defect & Binding Energy

  Two nuclei have mass numbers A and 4A. Their nuclear volumes are approximately in the ratio:

  Options

  • Option A

    1:2

  • Option B

    1:4

  • Option C

    1:4¹ᐟ³

  • Option D

    1:16

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• Multi-correctmediumNuclear physicsNuclear Properties, Mass Defect & Binding Energy

  Which statements about binding energy are correct?

  Select all that apply

  • Option A

    Mass of a bound nucleus is smaller than the sum of masses of its separated nucleons

  • Option B

    BE = Δm c²

  • Option C

    Greater total binding energy always means greater stability per nucleon

  • Option D

    Binding energy is positive for a stable bound nucleus

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• MCQmediumNuclear physicsNuclear Properties, Mass Defect & Binding Energy

  For a nucleus with mass number A and atomic number Z:
  A. The surface energy per nucleon is b(s) = -a₁A²ᐟ³.
  B. The Coulomb contribution to the binding energy is b(c) = -a₂Z(Z - 1)/A⁴ᐟ³.
  C. The volume energy is b(v) = a₃A.
  D. Decrease in the binding energy is proportional to surface area. E. While estimating the surface energy, it is assumed that each nucleon interacts with 12 nucleons. Here a₁, a₂ and a₃ are constants. Choose the most appropriate answer from the options given below:

  Options

  • Option A

    B, C only

  • Option B

    A, B, C, D only

  • Option C

    B, C, E only

  • Option D

    C, D only

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• NumericmediumNuclear physicsNuclear Properties, Mass Defect & Binding Energy

  The radius of ²⁷₁₃Al is 3.6 fm. Estimate the radius of ¹²⁵₅₂Te in fm.

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• NumericeasyNuclear physicsNuclear Properties, Mass Defect & Binding Energy

  A nucleus has radius 6 fm. Take R₀ = 1.2 fm. If its mass number is N, find N.

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• MCQmediumNuclear physicsNuclear Properties, Mass Defect & Binding Energy

  Two nuclei have radii in the ratio R₁: R₂ = 2:3. Their mass numbers are approximately in the ratio:

  Options

  • Option A

    2:3

  • Option B

    4:9

  • Option C

    8:27

  • Option D

    √2:√3

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• MCQmediumNuclear physicsNuclear Properties, Mass Defect & Binding Energy

  Let E denote the rest-mass energy of nucleus and E(n) the rest-mass energy of a neutron. Which relation is correct?

  Options

  • Option A

    E(²³⁶₉₂U) > E(¹³⁷₅₃I) + E(⁹⁷₃₉Y) + 2E(n)

  • Option B

    E(²³⁶₉₂U) < E(¹³⁷₅₃I) + E(⁹⁷₃₉Y) + 2E(n)

  • Option C

    E(²³⁶₉₂U) < E(¹⁴⁰₅₆Ba) + E(⁹⁴₃₆Kr) + 2E(n)

  • Option D

    E(²³⁶₉₂U) = E(¹⁴⁰₅₆Ba) + E(⁹⁴₃₆Kr) + 2E(n)

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• NumericmediumNuclear physicsNuclear Properties, Mass Defect & Binding Energy

  For a carbon-12 atom, take mₕ = 1.0078 u, mₙ = 1.0087 u and M(atom) = 12.0000 u. If the mass defect is Δm = N×10⁻³ u, find N.

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• MCQeasyNuclear physicsNuclear Properties, Mass Defect & Binding Energy

  Two deuterium nuclei ²₁H combine to form one ⁴₂He nucleus. The binding energy per nucleon of ²₁H is 1.1 MeV and that of ⁴₂He is 7.2 MeV. What energy is released in the reaction?

  Options

  • Option A

    6.1 MeV

  • Option B

    24.4 MeV

  • Option C

    26.6 MeV

  • Option D

    5 MeV

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• MCQeasyNuclear physicsNuclear Properties, Mass Defect & Binding Energy

  The energy equivalent of one atomic mass unit (1 u) is approximately:

  Options

  • Option A

    1.6 × 10⁻¹⁹ J

  • Option B

    6.02 × 10²³ J

  • Option C

    931 MeV

  • Option D

    9.31 MeV

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  AIPMT 1992NEET Previous Year

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