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

Answer:

$\lambda=0.06\ m$

Explanation:

Given:

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

• we have the speed of the radiation equal to the speed of light, $c=3\times 10^8\ m.s^{-1}$

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:

$\lambda=\frac{c}{f}$

$\lambda=\frac{3\times 10^8}{5\times 10^9}$

$\lambda=0.06\ m$

Answer 2

Answer:

The wavelength of this radiation is 0.06 m.

Explanation:

Given that,

Frequency = 5000 MHz

We know that,

Speed of light $c= 3\times10^{8}\ m/s$

We need to calculate the wavelength of this radiation

Using formula of wavelength

$\lambda=\dfrac{c}{\nu}$

Where, $\lambda$ = wavelength

$\nu$ = frequency

c = speed of light

Put the value into the formula

$\lambda=\dfrac{3\times10^{8}}{5\times10^{9}}$

$\lambda=0.06\ m$

Hence, The wavelength of this radiation is 0.06 m.