Cell phone conversations are transmitted by high-frequency radio waves. Suppose the signal has wavelength 36.5 cm while traveling through air. What is the frequency as the signal travels through 3-mm-thick window glass into your room?

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Answer:

f=8.219*10^{8}Hz

Explanation:

We are going to use the formula  v=fλ

Where v= velocity of radio waves

f= frequency

λ= wavelength of wave

  • radio waves are electromagnetic waves and as such they have the speed of light which is 3*10^{8}m/s.
  • also when a wave travels from one medium to another, the wavelength changes while the frequency remains the same.
  • calculating for the frequency of the wave in air also gives us the frequency in the window glass.

f=\frac{v}{λ}

v=3*10^{8}m/s.

λ=36.5 cm = 36.5/100= 0.365m

f=\frac{3*10^{8}m/s.}{0.365m}

f=8.219*10^{8}Hz

The frequency of the signal is [tex]8.22*10^{8} Hz[/tex]

Frequency of light:

The number of cycles or vibrations undergone during one unit of time is known as frequency.

When light enters from one medium to another medium, frequency of light is changes and wavelength is constant.

Frequency is computed as,[tex]f=\frac{c}{\lambda}[/tex]

Where c is speed of light and [tex]\lambda[/tex] is wavelength of light.

Value of [tex]c=3*10^{8} m/s[/tex]

Given that, [tex]\lambda=36.5cm=0.365m[/tex]

substitute values in above equation.

[tex]f=\frac{3*10^{8} }{0.365} \\\\f=8.22*10^{8} Hz[/tex]

Learn more about the Frequency here:

https://brainly.com/question/10728818