A microwave oven operates at 2.40 ghz. what is the wavelength of the radiation produced by this appliance? express the wavelength numerically in nanometers.

Respuesta :

[tex]\lambda = \frac{c}{\nu} = \frac{3 \cdot 10^8}{2.4 \cdot 10^9} = \frac{1}{8} = 0.125 \ m = 1.25 \cdot 10^8 \ nm.[/tex]

Answer, wavelength is [tex] 1.25 \times 10^8 [/tex] nm.

The frequency of the microwave is, f = 2.40 GHz.

To Find frequency use the formula:

[tex] c=f [/tex]λ

Where, c is the speed of electromagnetic wave or light.

f is the frequency, and λ is the wavelength of light.

Rearranging,

[tex] \lambda = \frac{c}{f} [/tex]

Plug in the values,

[tex] \lambdam = \frac{3 \times 10^8 m/s}{2.40 GHz\frac{10^9 Hz}{1 GHz}}
=0.125 m\frac{10^9 nm}{1 m} = 1.25 \times 10^8 nm. [/tex]