A human hair is approximately 40 microns (mum) wide. If 1mum is equal to 10^(-6) meters (m), and 1 nanometer (nm) is equal to 10^(-9)m, then how many nanometers wide is a human hair? Choose 1 answer: (A) 0.0004nm (B) 0.004nm (C) 4,000nm (D) 40,000nm

Identify Conversion Factors: Identify the conversion factors given in the problem. 1 micron (μm) is equal to 10^(-6) meters (m). 1 nanometer (nm) is equal to 10^(-9) meters (m). To convert microns to nanometers, we need to understand the relationship between the two units.Determine Conversion Factor: Determine the conversion factor from microns to nanometers. Since 1 nm is 10^(-9) m and 1 μm is 10^(-6) m, we can find the conversion factor by dividing the two: (10^(-6) m) / (10^(-9) m) = 10^(3) nm/μm. This means that 1 micron is equal to 10^3 nanometers.Convert Width to Nanometers: Convert the width of the human hair from microns to nanometers. The hair is 40 microns wide, so we multiply this by the conversion factor: 40 μm * 10^3 nm/μm = 40,000 nm.Choose Correct Answer: Choose the correct answer from the given options. The calculation shows that the width of the human hair is 40,000 nanometers, which corresponds to option (D).

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A human hair is approximately 40 microns
(mum) wide. If
1mum is equal to
10^(-6) meters
(m), and 1 nanometer
(nm) is equal to
10^(-9)m, then how many nanometers wide is a human hair?
Choose 1 answer:
(A)
0.0004nm
(B)
0.004nm
(C)
4,000nm
(D)
40,000nm

A human hair is approximately $40$ microns $(\mu \mathrm{m})$ wide. If $1 \mu \mathrm{m}$ is equal to $10^{-6}$ meters $(\mathrm{m})$ , and $1$ nanometer $(\mathrm{nm})$ is equal to $10^{-9} \mathrm{~m}$ , then how many nanometers wide is a human hair? $\newline$ Choose $1$ answer: $\newline$ (A) $0.0004 \mathrm{~nm}$ $\newline$ (B) $0.004 \mathrm{~nm}$ $\newline$ (C) $4,000 \mathrm{~nm}$ $\newline$ (D) $40,000 \mathrm{~nm}$

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Q. A human hair is approximately

40

microns

(\mu \mathrm{m})

wide. If

1 \mu \mathrm{m}

is equal to

10^{-6}

meters

(\mathrm{m})

, and

1

nanometer

(\mathrm{nm})

is equal to

10^{-9} \mathrm{~m}

, then how many nanometers wide is a human hair?

\newline

Choose

1

answer:

\newline

(A)

0.0004 \mathrm{~nm}

\newline

(B)

0.004 \mathrm{~nm}

\newline

(C)

4,000 \mathrm{~nm}

\newline

(D)

40,000 \mathrm{~nm}

Identify Conversion Factors: Identify the conversion factors given in the problem. $\newline$ $1$ micron $\mu\text{m}$ is equal to $10^{-6}$ meters $\text{m}$ . $\newline$ $1$ nanometer $\text{nm}$ is equal to $10^{-9}$ meters $\text{m}$ . $\newline$ To convert microns to nanometers, we need to understand the relationship between the two units.
Determine Conversion Factor: Determine the conversion factor from microns to nanometers. $\newline$ Since $1 \, \text{nm}$ is $10^{-9} \, \text{m}$ and $1 \, \mu\text{m}$ is $10^{-6} \, \text{m}$ , we can find the conversion factor by dividing the two: $\newline$ $(10^{-6} \, \text{m}) / (10^{-9} \, \text{m}) = 10^{3} \, \text{nm}/\mu\text{m}$ . $\newline$ This means that $1$ micron is equal to $10^3$ nanometers.
Convert Width to Nanometers: Convert the width of the human hair from microns to nanometers. $\newline$ The hair is $40$ microns wide, so we multiply this by the conversion factor: $\newline$ $40 \, \mu\text{m} \times 10^{3} \, \text{nm}/\mu\text{m} = 40,000 \, \text{nm}.$
Choose Correct Answer: Choose the correct answer from the given options. $\newline$ The calculation shows that the width of the human hair is $40,000$ nanometers, which corresponds to option (D).