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 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 2.70 GHz . What is the wavelength of the radiation produced by this appliance? Express the wavelength numerically in nanometers.

Explanation / Answer

1 GHz = 109 Hz = 109 /s

we have 2.70 GHz = 2.70 x 109 Hz or 2.7 x 109 /s

c = speed of light = 3.00 x 108 m/s

putting the values in given equation

c=×

3.00 x 108 m/s = x 2.7 x 109 /s

= 0.111 m = 1.11 x 108 nm

Ans = 1.11 x 108 nm

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