The ratio of the mass of the proton to the mass of the electron is

Options

A. 2000
B. 4801
C. 1840
D. 8140

Answer

To find the ratio of the mass of the proton to the mass of the electron, we will follow these steps:

### Step 1: Identify the masses of the proton and electron
- The mass of the proton (Mp) is given as:
\[ M_p = 1.67 \times 10^{-27} \text{ kg} \]
- The mass of the electron (Me) is given as:
\[ M_e = 9.1 \times 10^{-31} \text{ kg} \]

### Step 2: Set up the ratio
We need to find the ratio of the mass of the proton to the mass of the electron:
\[ \text{Ratio} = \frac{M_p}{M_e} \]

### Step 3: Substitute the values into the ratio
Substituting the values we identified in Step 1 into the ratio:
\[ \text{Ratio} = \frac{1.67 \times 10^{-27}}{9.1 \times 10^{-31}} \]

### Step 4: Perform the calculation
To calculate the ratio:
1. Divide the coefficients:
\[ \frac{1.67}{9.1} \approx 0.1835 \]
2. Divide the powers of ten:
\[ 10^{-27} \div 10^{-31} = 10^{4} \]
3. Combine the results:
\[ \text{Ratio} \approx 0.1835 \times 10^4 = 1835 \]

### Step 5: Round to the nearest whole number
The calculated ratio is approximately 1835. Rounding this gives us:
\[ \text{Ratio} \approx 1840 \]

### Conclusion
Thus, the ratio of the mass of the proton to the mass of the electron is approximately:
\[ \text{Ratio} \approx 1840 \]

### Final Answer
The correct answer is 1840.

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