The density of nucleus is about………….times the density of atom.

Options

A. `10^(-14)`
B. `10^(12)`
C. `10^(-8)`
D. `10^(10)`

Answer

To solve the question regarding the density of the nucleus compared to the density of an atom, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding Density**:
Density is defined as mass per unit volume. The formula for density (ρ) is given by:
\[ \text{Density} (\rho) = \frac{\text{Mass}}{\text{Volume}} \]

2. **Density of the Nucleus**:
The nucleus of an atom contains protons and neutrons (collectively called nucleons). The mass of these nucleons is significantly greater than the mass of the electrons, which are located outside the nucleus. Therefore, the mass of the nucleus is essentially the mass of the entire atom.

3. **Volume of the Nucleus**:
The volume of the nucleus is very small compared to the volume of the entire atom. The nucleus occupies a tiny fraction of the atomic volume, which is mostly taken up by the electron cloud.

4. **Comparison of Densities**:
Given that the nucleus has a large mass and a small volume, its density is very high. In contrast, the entire atom has a larger volume with a relatively smaller mass (since most of the mass is concentrated in the nucleus).

5. **Quantitative Comparison**:
It is established that the density of the nucleus is approximately \(10^{12}\) times the density of the atom. This is because the nucleus is much denser due to its high mass and small volume.

6. **Final Answer**:
Therefore, the density of the nucleus is about \(10^{12}\) times the density of the atom.

### Conclusion:
The correct answer to the question is \(10^{12}\).

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