Part a a microwave oven operates at 2.90 ghz . what is the wavelength of the radiation produced by this appliance? express the wavelength numerically in nanometers.

Respuesta :

The parameter in GHz or Gigahertz is the frequency which is equal to 10⁹ of 1 Hz or s⁻¹. To determine its corresponding wavelength, we use the speed of electromagnetic waves. Its speed is the same with the speed of light which is equal to 3×10⁸ m/s. The solution is as follows:

Speed = Frequency*Wavelength
3×10⁸ m/s = (2.90×10⁹ Hz)(Wavelength)
Wavelength = 0.1034 m or 1.034×10⁻¹⁰ nm

Answer:

[tex]\lambda = 0.103 m = 1.03 \times 10^8 nm[/tex]

Explanation:

As we know that microwave is an electromagnetic wave which travels with the speed of light

it is given as

[tex]v = 3\times 10^8 m/s[/tex]

it is given that the frequency of the microwave is

[tex]f = 2.90 ghz[/tex]

[tex]f = 2.90 \times 10^9 Hz[/tex]

now from the formula of wavelength we will have

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

now plug in all values in it

[tex]\lambda = \frac{3 \times 10^8}{2.90 \times 10^9}[/tex]

[tex]\lambda = 0.103 m[/tex]

ACCESS MORE
EDU ACCESS