Question

An FM radio station, 20 miles away, broadcast at a 93.4 MHz frequency(a) What is the wavelength of the radio wave associated with this signal ?(b) How long does it take for the signal to reach your radio from the station ?

Answer 1

(a) Wavelength = 3.21 m (b) Time =
`1.07* 10^(-4)\ s`

Step-by-step explanation:

Given that,

The frequency of FM radio station, f = 93.4 MHz

(a) We need to find the wavelength of the radio wave associated with this signal. The relation between wavelength and frequency is given by :

`c=f\lambda\\\\\lambda=(c)/(f)\\\\\lambda=(3* 10^8)/(93.4* 10^6)\\\\\lambda=3.21\ m`

(b) It is given that, an FM radio station, 20 miles away. Let t is time taken for signal to reach your radio from the station. So,

`t=(d)/(c)\\\\t=(20* 1609.34)/(3* 10^8)\\\\t=1.07* 10^(-4)\ s`

Hence, this is the required solution.