How many times is an atom bigger than the nucleus ?

Options

A. `1,00,000`
B. `5,000`
C. `10,000`
D. `200`

Answer

To determine how many times an atom is bigger than its nucleus, we can follow these steps:

### Step-by-Step Solution:

1. **Identify the Size of an Atom**:
The size of an atom is generally in the order of \(10^{-10}\) meters, which is equivalent to 1 angstrom.

2. **Identify the Size of a Nucleus**:
The size of a nucleus is much smaller than that of an atom, typically in the order of \(10^{-15}\) meters.

3. **Set Up the Ratio**:
To find out how many times larger the atom is compared to the nucleus, we can set up the ratio of the size of the atom to the size of the nucleus:
\[ \text{Ratio} = \frac{\text{Size of Atom}}{\text{Size of Nucleus}} = \frac{10^{-10} \text{ m}}{10^{-15} \text{ m}} \]

4. **Perform the Division**:
When we divide \(10^{-10}\) by \(10^{-15}\), we can subtract the exponents:
\[ \frac{10^{-10}}{10^{-15}} = 10^{-10 - (-15)} = 10^{5} \]

5. **Interpret the Result**:
This result means that the size of the atom is \(10^{5}\) times larger than the size of the nucleus, which is equal to 100,000 times.

### Final Answer:
Thus, an atom is 100,000 times bigger than its nucleus.

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