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How is the radius of a nucleus related t...

How is the radius of a nucleus related to its mass number?

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`R=R_(0)(A)^(1/3)`, where `R_(0)` is a constant having a value 1.2 fm and A the mass number of nucleus.
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Knowledge Check

  • Nucleus of an atom resembles with a drop of liquid. Density of nucleus is very high, i.e., 10^(8) tonne/cc or 130 trillion tonnes m^(-3) . This density is about a trillion times greater than that of water. Density of nuclei of all elements are same, it is independent of atomic number or atomic mass. However, the radius of nucleus depends on the mass number . Surface However, the radius of nucleus depends on the mass number. Surface tension of nucleus is also very high. i.e., about 1.24 xx 10^(18) times, the suface tension of water. The radius of ._(6)^(12)C nucleus is:

    A
    `5 xx 10^(-15) m`
    B
    `1.4 xx 10^(-15) m`
    C
    `3.5 xx 10^(-15) m`
    D
    `6 xx 10^(-15) m`

  • Nucleus of an atom resembles with a drop of liquid. Density of nucleus is very high, i.e., 10^(8) tonne/cc or 130 trillion tonnes m^(-3) . This density is about a trillion times greater than that of water. Density of nuclei of all elements are same, it is independent of atomic number or atomic mass. However, the radius of nucleus depends on the mass number . Surface However, the radius of nucleus depends on the mass number. Surface tension of nucleus is also very high. i.e., about 1.24 xx 10^(18) times, the suface tension of water. Radius of nucleus is directly proportional to:

    A
    `A^(2)`
    B
    `A^(1//3)`
    C
    `[A]^(3)`
    D
    A

  • If M is the mass of a nucleus and A is its mass number, then (M -A)/(M) is called its

    A
    binding energy
    B
    Fermi energy
    C
    mass defect
    D
    packing fraction

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    How does radius of a nucleus vary with mass number ? Show that nuclear density is the same for all nuclei.

    The graph of 1n (R/R_0) versus 1n A (R = radius of a nucleus and A = its mass number) is

    The graph of ln(R//R_(0)) versus ln A (R=radius of a nucleus and A=its mass number ) is

    How is size of a nucleus experimentally determined? Write the relation between the radius and mass number of the nucleus. Show that the density of nucleus is independent of its mass number.

    How are the radius of nucleus r and mass number (A) related to each other?

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