Wavelengths in ultraviolet-visible spectroscopy are commonly expressed in nanometers; wavelengths in infrared spectroscopy are sometimes expressed in micrometers. Carry out the following conversions. (a) \(2.5 \mu \mathrm{m}\) to nanometers (b) \(200 \mathrm{~nm}\) to micrometers

Short Answer

Expert verified
Question: Convert the following measurements: a) 2.5 μm to nanometers, b) 200 nm to micrometers. Answer: a) 2.5 μm is equal to 2500 nm, b) 200 nm is equal to 0.2 μm.

Step by step solution

01

Identify the given value and the conversion factor

The given value is \(2.5\mu\mathrm{m}\), and we need to convert it into nanometers. The conversion factor is: 1 µm = 1000 nm.
02

Perform the conversion

Multiply the given value by the conversion factor to convert it into nanometers: \(2.5\mu\mathrm{m} \times \frac{1000 \mathrm{nm}}{1\mu\mathrm{m}} = 2500 \mathrm{nm}\) Therefore, \(2.5\mu\mathrm{m}\) is equal to \(2500 \mathrm{nm}\). #b) Convert 200 nm to micrometers#
03

Identify the given value and the conversion factor

The given value is \(200\mathrm{nm}\), and we need to convert it into micrometers. The conversion factor is: 1 µm = 1000 nm.
04

Perform the conversion

Divide the given value by the conversion factor to convert it into micrometers: \(200\mathrm{nm}\times \frac{1\mu\mathrm{m}}{1000 \mathrm{nm}}= 0.2\mu\mathrm{m}\) Therefore, \(200\mathrm{nm}\) is equal to \(0.2\mu\mathrm{m}\).

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