Question

What is the frequency of a radio wave with a wavelength of\[3m\] ?

Answer 1

Hint: Radio waves are a type of electromagnetic radiation that is best known for communication applications like radios, television, and mobile phones. The wavelength of the radio wave is provided. We know that all kinds of electromagnetic radiation have the same speed. Hence by using the relation where the wavelength is inversely proportional to the frequency of the radiation we can get the required frequency.



Complete step by step solution:
Radio waves are Electromagnetic radiations that have wavelengths longer than the infrared radiations and it is in the range of 30 kHz to 300 GHz in an electromagnetic spectrum. These waves have great use in communication systems. Hence here the wavelength of a similar wave is given below
The wavelength of the radio wave given as $\lambda = \,3m$
Let's use the formula:
\[C = \lambda \times v\]Where
The speed of light \[C = 3 \times {10^8}m{s^{ - 1}}\]
 The wavelength is \[\lambda \] of the unit meter.
 \[v\] represents the frequency, which should have units of Hzors−\[1\] . Hz is hertz or reciprocal seconds.
From $C\lambda = v$
$ \Rightarrow v\,\, = \,\,\dfrac{{3 \times {{10}^8}}}{3}m{s^{ - 1}}$
We get the answer as $v\,\, = \,\,1 \times {10^8}{s^{ - 1}}$

Note:A radio band can be defined as a continuous series of radio wave frequency spectrum. These kinds of bands are called channels and each channel has its specific purpose too. To overcome the overlapping of the bands and to increase its efficiency we allocate similar services to the series of radio wave spectrums. Falsely shaped radio waves are utilized in radar, radio correspondence computer systems, diverse route frameworks, etc.