QuestionDecember 21, 2025

(A) mm (B) km (C) cm (D) m (E) all 2. Which one of the following is a suitable unit to measure the diameter of electric wire? (A) mm (B) km (C) cm (D) m (E) all 3. A hydrogen atom has a diameter of about 10 nm. (a) Express this diameter in meters. (b) Express this diameter in millimeters. (c) Express this diameter in micrometers.

(A) mm (B) km (C) cm (D) m (E) all 2. Which one of the following is a suitable unit to measure the diameter of electric wire? (A) mm (B) km (C) cm (D) m (E) all 3. A hydrogen atom has a diameter of about 10 nm. (a) Express this diameter in meters. (b) Express this diameter in millimeters. (c) Express this diameter in micrometers.
(A) mm (B) km (C) cm (D) m (E) all
2. Which one of the following is a suitable unit to measure the diameter
of electric wire?
(A) mm (B) km (C) cm (D) m (E) all
3. A hydrogen atom has a diameter of about 10 nm.
(a) Express this diameter in meters.
(b) Express this diameter in millimeters.
(c) Express this diameter in micrometers.

Solution
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Answer

(2) (A) mm ### (3a) 1 \times 10^{-8}\ \text{m} ### (3b) 1 \times 10^{-5}\ \text{mm} ### (3c) 1 \times 10^{-2}\ \mu\text{m} Explanation 1. Choose suitable unit for electric wire diameter Electric wire diameters are very small (a few millimeters or less), so the suitable unit is millimeter (mm). 2. Convert nanometers to meters 1\ \text{nm} = 10^{-9}\ \text{m} Thus, 10\ \text{nm} = 10 \times 10^{-9} = 1 \times 10^{-8}\ \text{m}. 3. Convert nanometers to millimeters 1\ \text{mm} = 10^{-3}\ \text{m} So, 1 \times 10^{-8}\ \text{m} = 1 \times 10^{-8} / 10^{-3} = 1 \times 10^{-5}\ \text{mm}. 4. Convert nanometers to micrometers 1\ \mu\text{m} = 10^{-6}\ \text{m} So, 1 \times 10^{-8}\ \text{m} = 1 \times 10^{-8} / 10^{-6} = 1 \times 10^{-2}\ \mu\text{m}.

Explanation

1. Choose suitable unit for electric wire diameter<br /> Electric wire diameters are very small (a few millimeters or less), so the suitable unit is millimeter (mm).<br /><br />2. Convert nanometers to meters<br /> $1\ \text{nm} = 10^{-9}\ \text{m}$ <br />Thus, $10\ \text{nm} = 10 \times 10^{-9} = 1 \times 10^{-8}\ \text{m}$.<br /><br />3. Convert nanometers to millimeters<br /> $1\ \text{mm} = 10^{-3}\ \text{m}$ <br />So, $1 \times 10^{-8}\ \text{m} = 1 \times 10^{-8} / 10^{-3} = 1 \times 10^{-5}\ \text{mm}$.<br /><br />4. Convert nanometers to micrometers<br /> $1\ \mu\text{m} = 10^{-6}\ \text{m}$ <br />So, $1 \times 10^{-8}\ \text{m} = 1 \times 10^{-8} / 10^{-6} = 1 \times 10^{-2}\ \mu\text{m}$.
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