Respuesta :

Answer:

[tex]\lambda=0.03\ m[/tex]

Explanation:

Given that,

The frequency of a the microwaves is [tex]1\times 10^{10}\ Hz[/tex]

We need to find the wavelength. Al electromagnetic wave travel with speed of sound. We know that,

[tex]v=f\lambda\\\\\text{Where}\ \lambda\ \text{is the wavelength of microwaves}\\\\\lambda=\dfrac{v}{f}\\\\\lambda=\dfrac{3\times 10^8}{10^{10}}\\\\\lambda=0.03\ m[/tex]

So, the wavelength of the microwaves is 0.03 m.

The wavelength of the microwave having a frequency of 1.0 [tex]\rm \times\;10^1^0[/tex] Hz can be 0.03 m.

Wavelength can be described as the distance traveled by the wave, while the frequency can be defined as the cycle per second in a specific medium. Wavelength and frequency are directly related to each other.

If the medium is air, the relationship between frequency and wavelength can be given by:

[tex]\rm \lambda\;=\;\dfrac{c}{\nu}[/tex]

Where, [tex]\lambda[/tex] is the wavelength

c = speed of wavelength = speed of air = 3 [tex]\rm \times\;10^8[/tex] m/s

[tex]\nu[/tex] =  frequency of wave = 1.0 [tex]\rm \times\;10^1^0[/tex] Hz

[tex]\rm \lambda\;=\;\dfrac{3\;\times\;10^8}{1\;\times\;10^1^0}[/tex]

[tex]\lambda[/tex] = 0.03 m

The wavelength of the microwave having a frequency of 1.0 [tex]\rm \times\;10^1^0[/tex] Hz can be 0.03 m.

For more information about wavelength, refer to the link:

https://brainly.com/question/12924624

ACCESS MORE