# To watch an overhead digital television channel with a frequency of 666 megahertz, the viewer has purchased

To watch an overhead digital television channel with a frequency of 666 megahertz, the viewer has purchased an antenna that receives electromagnetic waves with a wavelength of 0.3-0.7 m. Is the acquired antenna suitable for receiving a TV channel? a) determine the wavelength of the TV channel! show solutions! the speed of light is 3×10 to the eighth degree m / s c) explain why the purchased antenna is suitable / not suitable for receiving a TV channel.

v = 666 MHz = 666 * 10 ^ 6 Hz.

c = 3 * 10 ^ 8 m / s.

λ -?

The wavelength λ and the wave frequency v are related to each other by the ratio: λ = c / v, where c is the wave propagation speed, in our case the speed of light.

λ = 3 * 10 ^ 8 m / s / 666 * 10 ^ 6 Hz = 0.45 m.

The wavelength λ = 0.45 m of the TV channel falls within the receiver range of 0.3 – 0.7 m.

In the receiver, when the external wavelength coincides with the wavelength of its own oscillatory circuit, the phenomenon of resonance occurs.

Answer: the wavelength of the TV channel is λ = 0.45 m.

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