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Answer :
Final answer:
In the physics of electromagnetic radiation, wavelength and frequency are inversely related. To find the wavelength, you can use the equation c = λv (speed of light = wavelength x frequency). The wavelengths for FM and AM broadcasting are calculated to be approximately 3.00 m and 280 m respectively.
Explanation:
Electromagnetic radiation, encompassing forms such as radio waves, has attributes including wavelength and frequency. The two properties are inversely related, meaning that as frequency increases, wavelength decreases, and vice versa. Specifically, their relationship is fixed by the equation c = λv, where c is the speed of light, λ is the wavelength, and v is the frequency.
For example 'a', the frequency is 100.2 MHz, or 100.2 x 106 Hz. Solving for wavelength, λ = c/v = (3.00 x 108 m/s) / (100.2 x 106 Hz) = approx. 3.00 m. Similarly, for example, 'b', with a 1070 kHz = 1070 x 103 Hz frequency, λ = c/v = (3.00 x 108 m/s) / (1070 x 103 Hz) = approx. 280 m. Therefore, the correct answer would be 'A) a. 3.00 m, b. 280 m'.
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