Compared to mass of lightest particle in nucleus (Proton) the mass of an electron is aboutA 1/80 B 1/360 C 1/1840 D 1/1000

Break Down the Problem

1. Identify the mass of a proton.
2. Identify the mass of an electron.
3. Determine the ratio of the mass of the electron to the mass of the proton.

Relevant Concepts

• The mass of a proton is approximately $1.67 \times 10^{-27}$ kg.
• The mass of an electron is approximately $9.11 \times 10^{-31}$ kg.
• To find the ratio, we will use the formula: $\text{Ratio} = \frac{\text{mass of electron}}{\text{mass of proton}}$

Analysis and Detail

1. Calculate the ratio: $\text{Ratio} = \frac{9.11 \times 10^{-31}}{1.67 \times 10^{-27}}$ $= \frac{9.11}{1.67} \times 10^{-4}$ $\approx 0.00545$
2. Now, convert this ratio to a fraction with respect to the mass of the proton: $\text{Approximate Fraction} = \frac{1}{\frac{1}{0.00545}} \approx \frac{1}{1846}$

Verify and Summarize

The calculated ratio indicates that the mass of an electron is roughly $\frac{1}{1840}$ of the mass of a proton. This corroborates with the provided options.

Final Answer

The mass of an electron is about C) $\frac{1}{1840}$ that of a proton.