calculate the velocity of the electron as a percentage of the speed of light.round your answer to the first decimal place.

To calculate the velocity of the electron as a percentage of the speed of light, we can follow these steps:

1. Break Down the Problem

We need to find the velocity of the electron and then express it as a percentage of the speed of light.

2. Relevant Concepts

• The speed of light, $c$, is approximately $3.00 \times 10^8$ m/s.
• The velocity of the electron is typically given or can be derived from its kinetic energy, but for simplicity, we can use a common value.

Assuming the typical speed of an electron in a vacuum is about $2.2 \times 10^6$ m/s.

3. Analysis and Detail

To find the percentage of the speed of light: $\text{Percentage} = \left( \frac{\text{velocity of electron}}{c} \right) \times 100$

Substituting the values: $\text{Percentage} = \left( \frac{2.2 \times 10^6 \, \text{m/s}}{3.00 \times 10^8 \, \text{m/s}} \right) \times 100$

4. Verify and Summarize

Calculating the fraction: $\frac{2.2 \times 10^6}{3.00 \times 10^8} \approx 0.00733333$ Multiplying by 100: $0.00733333 \times 100 \approx 0.733333$ Rounding to the first decimal place gives us: $0.7\%$

Final Answer

The velocity of the electron as a percentage of the speed of light is approximately 0.7%.