Question

A VHF radio station transmits on a frequency of 100 MHz (1 MHz = 106 Hz). If the speed of radio waves is 3 × 10^8 m/s,
a what is the wavelength of the waves,
b how long does the transmission take to travel 60 km?

Answer 1

the time to be taken will be 0.5 minutes my friend

Answer 2

Given,

Frequency = 100 MHz

Speed = 3×10⁸ m/s

1 MHz = 106Hz

To find,

1. The wavelength.
2. Time for traveling 60km.

Solution,

We can simply solve this mathematical problem by using the following mathematical process.

We know that for any transmission,

Velocity = Wavelength × Frequency

3×10⁸ = (100×106) × Wavelength [MHz converted into Hz]

Wavelength = 3×10⁸/(100×106)

Wavelength = 300000000/10600

Wavelength = 28301.886 m

Now,

the transmission travels 3×10⁸ m in = 1 second

the transmission travels 1 m in = 1/300000000 second

the transmission travels 60km or 60000m in = 60000/300000000 = 0.0002 seconds

Hence, the wavelength of the transmission is 28301.886 metres and it will take 0.0002 seconds to travel 60 kilometres.