Electromagnetic radiation behaves both as particles (called photons) and as wave

Question

Electromagnetic radiation behaves both as particles (called photons) and as waves. Wavelength and frequency are related according to the equation Speed of light (3.00 x 10 to the 8th power m/s) = wavelength x frequency. The energy (E in Joules) contained in one quantum of electromagnetic radiation is described by the equation E=h•v where (h) is Planck’s constant (6.626 x 10 to the -34th power J•s). Note that frequency has units of inverse seconds (s to the -1st power), which are more commonly expressed as hertz (Hz).
A microwave oven operates at 2.00 GHz. What is the wavelength of the radiation produced by this appliance? Express the wavelength numerically in nanometers. Electromagnetic radiation behaves both as particles (called photons) and as waves. Wavelength and frequency are related according to the equation Speed of light (3.00 x 10 to the 8th power m/s) = wavelength x frequency. The energy (E in Joules) contained in one quantum of electromagnetic radiation is described by the equation E=h•v where (h) is Planck’s constant (6.626 x 10 to the -34th power J•s). Note that frequency has units of inverse seconds (s to the -1st power), which are more commonly expressed as hertz (Hz).
A microwave oven operates at 2.00 GHz. What is the wavelength of the radiation produced by this appliance? Express the wavelength numerically in nanometers.
A microwave oven operates at 2.00 GHz. What is the wavelength of the radiation produced by this appliance? Express the wavelength numerically in nanometers.

Explanation / Answer

frequency = 2 GHz = 2 x 10^9 Hz = 2 x 10^9 s-1

Wavelength = speed of light / frequency

= ( 3 x 10^8 ms-1) / ( 2 x 10^9 s-1)

= 0.15 m

= 0.15 m x ( 10^9 nm / 1m)

= 1.5 x 10^8 nm

Thus wavlength corresponding to 2GHz is 1.5 x 10^8 nm

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