chemistry 10 science

Question

suppose your FM radio station is 102.5 MHz/ what is the wavelength, in centimeters, of the radiation? what region of the electromagnetic spectrum would is fall?

Answer 1

MHZ is mega Hertz, so it would 10⁶

So, frequency of the radio wave is 102.5 x 10⁶ Hz

Radio wave is an electromagnetic wave, so it travels at the speed of light which is 3 x 10⁸ m/s.

Speed of light (c) = frequency (f) x wavelength.

wavelength= c/f

wavelength = (3 x 10⁸)/(102.5 x 10⁶) = 2.92 m. = 293 cm. That would be all the way to the left in the radio part of the spectrum.

Answer 2

102.5 MHz x (300 m/1 MHz) x (100 cm/1 m) = 3075000 cm = 3.075 x 10^6 cm

Radio waves have wavelengths from 1 millimeter to 100 kilometers.

3.075 x 10^6 cm x (1m/100 cm) x (1 km/1000 m) = 3.075 x 10^1 km.