A microwave oven operates at 2.60 ghz . what is the wavelength of the radiation produced by this appliance? express the wavelength numerically in nanometers. view available hint(s)
The relationship between frequency f and wavelength [tex]\lambda[/tex] for an electromagnetic wave is [tex]f= \frac{c}{\lambda} [/tex] where c is the speed of the wave, which for an electromagnetic wave is the speed of light: [tex]c=3 \cdot 10^8 m/s[/tex] The frequency of the microwave radiation is [tex]f=2.60 GHz=2.60 \cdot 10^9 Hz[/tex], so by using this number in the previous formula we find the wavelength of the radiation: [tex]\lambda= \frac{c}{f}= \frac{3\cdot 10^8 m/s}{2.60 \cdot 10^9 Hz} =0.11 m=0.11 \cdot 10^9 nm [/tex]
Wavelength = (speed) / (frequency) Speed of light/radio/microwave = 3 x 108 meters per second Wavelength in the microwave oven = (3 x 108) / (2.4 x 109) = 0.125 meter 12.5 centimeters 125 millimeters 125,000,000 nanometers about 4.9 inches
