Question

A TV satellite broadcasts at a frequency of 5000 MHz, (1 MHz = 1 million Hertz). What is the wavelength of this radiation?

Answer 1

The wavelength of this radiation is 0.06 m.

Step-by-step explanation:

Given that,

Frequency = 5000 MHz

We know that,

Speed of light
`c= 3*10^(8)\ m/s`

We need to calculate the wavelength of this radiation

Using formula of wavelength

`\lambda=(c)/(\\u)`

Where,
`\lambda` = wavelength

`\\u` = frequency

c = speed of light

Put the value into the formula

`\lambda=(3*10^(8))/(5*10^(9))`

`\lambda=0.06\ m`

Hence, The wavelength of this radiation is 0.06 m.

Answer 2

`\lambda=0.06\ m`

Step-by-step explanation:

Given:

• frequency of the broadcast,
  `f=5000\ MHz=5* 10^9\ Hz`

• we have the speed of the radiation equal to the speed of light,
  `c=3* 10^8\ m.s^(-1)`

The broadcast waves are the electromagnetic waves but it can travel only upto a hundred kilometers without any loss of information carried by it.

The relation between the frequency and the wavelength:

`\lambda=(c)/(f)`

`\lambda=(3* 10^8)/(5* 10^9)`

`\lambda=0.06\ m`