Nuclei


  1. The nuclei 6C13 and 7N14 can be described as









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    As 6C13 and 7N14 have same no. of neutrons (13 – 6 =7 for C and 14 – 7 =7 for N),
    so they are isotones.

    Correct Option: A

    As 6C13 and 7N14 have same no. of neutrons (13 – 6 =7 for C and 14 – 7 =7 for N),
    so they are isotones.


  1. The ratio of the radii of the nuclei 13Al27 and 52Te125 is approximately​​









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    R ∝ (A)1/3
    ∴ RAl ∝ (27)1/3 and RTe ∝ (125)1/3

    RAl
    =
    3
    =
    6
    RTe510

    Correct Option: A

    R ∝ (A)1/3
    ∴ RAl ∝ (27)1/3 and RTe ∝ (125)1/3

    RAl
    =
    3
    =
    6
    RTe510



  1. A nucleus of uranium decays at rest into nuclei of thorium and helium.
    Then :​​









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    In an explosion a body breaks up into two pieces of unequal masses both part will have numerically equal momentum and lighter part will have more velocity.
    U → Th + He

    KETh
    P2
    , KEHe =
    P2
    2mTh2mHe

    since mHe is less so KETh will be more.

    Correct Option: D

    In an explosion a body breaks up into two pieces of unequal masses both part will have numerically equal momentum and lighter part will have more velocity.
    U → Th + He

    KETh
    P2
    , KEHe =
    P2
    2mTh2mHe

    since mHe is less so KETh will be more.


  1. The Binding energy per nucleon of 3Li7 and 2He4 nuclei are 5.60 MeV and 7.06 MeV, respectively. ​
    In the nuclear reaction 3Li7 + 1H12He4 + Q, the value of energy Q released is :​









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    BE of  2He4 = 4 × 7.06 = 28.24 MeV

    BE of
    7
    Li = 7 × 5.60 = 39.20 MeV
    3


    Therefore, Q = 56.48 – 39.20 = 17.28 MeV.

    Correct Option: D

    BE of  2He4 = 4 × 7.06 = 28.24 MeV

    BE of
    7
    Li = 7 × 5.60 = 39.20 MeV
    3


    Therefore, Q = 56.48 – 39.20 = 17.28 MeV.



  1. A sample of radioactive element has a mass of 10 gm at an instant t=0. The approximate mass of this element in the sample after two mean lives is









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    Using the relation for mean life.

    Given : t = 2τ = 2
    1
    λ

    ∴ τ =
    1
    λ

    Then from
    = 10
    1
    2= 1.35g
    2

    Correct Option: B

    Using the relation for mean life.

    Given : t = 2τ = 2
    1
    λ

    ∴ τ =
    1
    λ

    Then from
    = 10
    1
    2= 1.35g
    2