Look at the data in the table below. Which measurement has four significant figures?

\begin{tabular}{|l|l|}
\hline
Time [tex]$(s)$[/tex] & Velocity [tex]$(m/s)$[/tex] \\
\hline
1 & 0.275 \\
\hline
2 & 750 \\
\hline
3 & [tex]$10.4 \times 10^5$[/tex] \\
\hline
4 & 11,890 \\
\hline
5 & 320,050 \\
\hline
\end{tabular}

A. 320,050

B. 11,890

C. 0.275

D. [tex]$10.4 \times 10^5$[/tex]



Answer :

In this problem, we need to determine which velocity has exactly four significant figures. Significant figures are the meaningful digits in a number that contribute to its precision.

Let's examine each given velocity and count the significant figures:

1. 0.275
- This number has three significant figures: 2, 7, and 5.

2. 750
- This number has two significant figures: 7 and 5. The trailing zero is not considered significant unless specified by a decimal point.

3. [tex]\(10.4 \times 10^5\)[/tex]
- When written in standard form as [tex]\(1040000\)[/tex], it has three significant figures: 1, 0, and 4.

4. 11,890
- This number has five significant figures: 1, 1, 8, 9, and 0.

5. 320,050
- This number has six significant figures: 3, 2, 0, 0, 5, and 0.

After examining all the given measurements, none of the velocities has exactly four significant figures. Therefore, none of the provided options is a correct answer if we strictly adhere to the requirement for four significant figures.

Thus, we can conclude that:
- Option A: 320,050 has six significant figures.
- Option B: 11,890 has five significant figures.
- Option C: 0.275 has three significant figures.
- Option D: [tex]\(10.4 \times 10^5\)[/tex] has three significant figures.

Based on the analysis:
None of the measurements have exactly four significant figures.

So, the answer to the question is not found among the provided options.