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