Questions: The diameter of an atom is approximately 1 x 10^-10 m. What is the diameter in centimeters? 1 x 10^-8 cm 1 x 10^-16 cm none of these 1 x 10^-13 cm 1 x 10^-7 cm

The diameter of an atom is approximately 1 x 10^-10 m. What is the diameter in centimeters?
1 x 10^-8 cm
1 x 10^-16 cm
none of these
1 x 10^-13 cm
1 x 10^-7 cm

Transcript text: The diameter of an atom is approximately $1 \times 10^{-10} \mathrm{~m}$. What is the diameter in centimeters? $1 \times 10^{-8} \mathrm{~cm}$ $1 \times 10^{-16} \mathrm{~cm}$ none of these $1 \times 10^{-13} \mathrm{~cm}$ $1 \times 10^{-7} \mathrm{~cm}$

Solution

Solution Steps

Step 1: Convert Meters to Centimeters

To convert the diameter of an atom from meters to centimeters, we use the conversion factor: $1 \, \text{m} = 100 \, \text{cm}$.

Step 2: Apply the Conversion Factor

Given the diameter of an atom is $1 \times 10^{-10} \, \text{m}$, we convert it to centimeters by multiplying by 100: \[ 1 \times 10^{-10} \, \text{m} \times 100 \, \text{cm/m} = 1 \times 10^{-8} \, \text{cm} \]