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

ID: 494403 • Letter: E

Question

Electromagnetic radiation behaves both as particles (called photons) and as waves. Wavelength () and frequency () are related according to the equation

c=×

where c is the speed of light (3.00×108 m/s). The energy (E in joules) contained in one quantum of electromagnetic radiation is described by the equation

E=h×

where h is Planck's constant (6.626×1034 Js). Note that frequency has units of inverse seconds (s1), which are more commonly expressed as hertz (Hz).

Part A

A microwave oven operates at 2.60 GHz . What is the wavelength of the radiation produced by this appliance?

Explanation / Answer

fequency (v) = 2.60x 10^9 Hz

c = x v

where c = speed of light (3.00×108 m/s)

wavelength = c / v

                       = 3 x 10^8 / 2.60x 10^9

                       = 0.115 m

wavelength = 0.115 m

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