# Describe the general properties of nucleus.

### General Properties of Nucleus:

#### (i) Nuclear Size:

From Rutherford’s work, the mean radius of nucleus is  and the radius of the atom is . Thus the radius of the nucleus is 10,000 times smaller than the radius of the atom.

The empirical formula for the nuclear radius is,

Here, A is the mass number,  is a constant.

From this formula the radius of the Carbon () nucleus is.

#### (ii) Nuclear Mass:

If there are Z protons and N neutrons then the assumed mass is,

Where,  is the mass of each proton and  is mass of each neutron. But,

Real nuclear mass <

Difference of the masses,

real mass = Δm

Δm is called the mass defect.

#### (iii) Nuclear Density:

Nuclear density,

Here, nuclear mass =  , where A is the mass number and  is the mass of the nucleon =

Nuclear volume =

#### (iv) Nuclear Charge:

The charge of the nucleus is the charge of the proton contained in it. Each proton has a positive charge of  The nuclear charge is Ze, where Z is the atomic number of the nucleus.

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