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Chapter 1: Problem 34

Convert \(6743 \mathrm{~nm}\) to (a) \(\AA\) (b) inches (c) miles

Short Answer

Expert verified
Answer: The equivalent lengths of 6743 nm are approximately 67,430 Å, 2.65 x 10^-7 inches, and 4.19 x 10^-12 miles.

Step by step solution

01

Convert nanometers to angstroms

To convert the given length in nanometers to angstroms, multiply the length by the conversion factor of 10. In this case, 6743 nm multiplied by 10 gives us: \[6743 \times 10 = 67430 ~\AA\]
02

Convert nanometers to inches

To convert the given length in nanometers to inches, divide the length by the conversion factor of 25.4 million (25,400,000). In this case, 6743 nm divided by 25,400,000 gives us: \[\frac{6743}{25,400,000} \approx 2.65 \times 10^{-7} ~\text{inches}\]
03

Convert nanometers to miles

To convert the given length in nanometers to miles, divide the length by the conversion factor of 1.609 * 10^12. In this case, 6743 nm divided by 1.609 * 10^12 gives us: \[\frac{6743}{1.609 \times 10^{12}} \approx 4.19 \times 10^{-12} ~\text{miles}\]

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