± Electromagnetic Radiation Electromagnetic radiation behaves both as particles

Question

± Electromagnetic Radiation 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 3.00 GHz . What is the wavelength of the radiation produced by this appliance? Express the wavelength numerically in nanometers.

Explanation / Answer

Answer – We are given, microwave frequency, = 3.00 GHz , = ?

We know the formula

Wavelength, = C /

We need frequency in the per second or Hz, since C is in m.s-1

We know,

1 GHz = 1.0*109 Hz

So, 3.00 GHz = ?

= 3.0*109 Hz

So, Wavelength, = C /

                              = 3.00 *108 m.s-1 / 3.0*109 Hz

                              = 0.1 m

Now we need to convert the m to nm

We know,

1 m = 1.0*109 nm

So, 0.1 m = ?

= 1.0*108 nm

So, Wavelength, is 1.0*108 nm.

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