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Which one of the following is the value of one nanometer?
A) 10⁻⁷ cm
B) 10⁻⁶ cm
C) 10⁻⁴ cm
D) 10⁻³ cm
Explanation
A nanometer (nm) is a unit of length in the metric system. The prefix 'nano' represents a factor of 10^-9, meaning 1 nanometer is equal to 10^-9 meters. To convert this value into centimeters, one must consider the relationship between meters and centimeters, where 1 meter equals 10^2 centimeters. By multiplying the meter value (10^-9 m) by the conversion factor (10^2 cm/m), the result is 10^-7 cm. This is mathematically expressed as 1 nm = 0.0000001 cm. Therefore, 1 nanometer is equivalent to 10^-7 cm, which corresponds to the first option. Other options provided in the question contain typographical errors (like '1CT4' or '10"6') or incorrect powers of ten for this specific unit conversion.