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.