Questions: Which electromagnetic waves have wavelengths from about 400 -billionths to 10-billionths of a meter? infrared waves microwaves ultraviolet waves radio waves

Solution Steps

• Infrared waves: Wavelengths range from about \(700 \, \text{nm}\) (nanometers) to \(1 \, \text{mm}\) (millimeters).
• Microwaves: Wavelengths range from about \(1 \, \text{mm}\) to \(1 \, \text{m}\) (meter).
• Ultraviolet waves: Wavelengths range from about \(10 \, \text{nm}\) to \(400 \, \text{nm}\).
• Radio waves: Wavelengths range from about \(1 \, \text{mm}\) to \(100 \, \text{km}\) (kilometers).

The given wavelength range is from \(400 \times 10^{-9} \, \text{m}\) to \(10 \times 10^{-9} \, \text{m}\). Converting these to nanometers:

• \(400 \times 10^{-9} \, \text{m} = 400 \, \text{nm}\)
• \(10 \times 10^{-9} \, \text{m} = 10 \, \text{nm}\)

The wavelength range from \(10 \, \text{nm}\) to \(400 \, \text{nm}\) falls within the range of ultraviolet waves.

Final Answer