The radius of proton in of the order of

Options

A. `10^(15)m`
B. `10^(-15)m`
C. `10^(-14)m`
D. `10^(-31)m`

Answer

To determine the radius of a proton, we can follow these steps:

### Step 1: Understand the question
We need to find the order of magnitude of the radius of a proton. The question provides several options in scientific notation.

### Step 2: Recall the known value
The radius of a proton is known to be approximately 0.86 to 0.87 femtometers (fm).

### Step 3: Convert femtometers to meters
1 femtometer (fm) is equal to \(10^{-15}\) meters. Therefore:
\[ \text{Radius of proton} = 0.86 \text{ fm} \approx 0.86 \times 10^{-15} \text{ m} \]
\[ \text{Radius of proton} = 0.87 \text{ fm} \approx 0.87 \times 10^{-15} \text{ m} \]

### Step 4: Identify the order of magnitude
Both values (0.86 and 0.87) are in the order of \(10^{-15}\) meters. Thus, we can conclude that the radius of a proton is of the order of \(10^{-15}\) meters.

### Step 5: Choose the correct option
From the options provided:
- \(10^{15}\) m
- \(10^{-15}\) m
- \(10^{-14}\) m
- \(10^{-31}\) m

The correct answer is \(10^{-15}\) m.

### Final Answer
The radius of a proton is of the order of \(10^{-15}\) meters.

---