Question

a) WZZO transmits at 95.1MHz. Determine the length of the wave transmitted. If a new radio station WFBD
transmits a wavelength of 2.98m, where can they be found on the radio dial?

b) You hit a home run and the crowd goes wild. If you live 2km from the stadium, what is the time
difference between hearing the cheers on the radio and through the open window in your house?

Answer 1

Note: The values of constants are taken according to the standard values as they are not mentioned in the question explicitly

//Part A\\

Radio Waves are a kind of electromagnetic waves so they travel almost at the speed of Light

also we know that prduct of frequency and wavelength is equal to the speed of wave.

for WFBD the wavelength is given to be

On substituting the value of in the above equation we get,

.

So the new WFBD can be found on the radio dial at at 100.7.

and WZZO can be found on the radio dial at 95.1.

//Part B\\

The time difference can be calculated as follows.

Speed of Sound in air is about

and

Speed of Radio Waves is about

We are given that distance of our house from the Stadium is

the formula for time in terms of speed and distance is

For sound to reach from stadium to house through open window is

.

For sound to reach from stadium to house through radio waves is

So the time difference is given by

.