Question

an fm radio station broadcasts at 98.3 mhz. calculate the wavelength of the corresponding radio waves.

Answer 1

The corresponding wavelength of radio waves is 3.03336704 m.

Given - Broadcast Frequency = 98.3MHz

To compute the value of wavelength of the corresponding radio waves following points are considered-

1. Frequency of an electromagnetic waves is least for radio waves .
2. wavelength of an electromagnetic waves is maximum for radio waves.
3. Penetration power of electromagnetic waves is directly proportional to frequency so radio waves is the  weakest one.
4. Applications of this wave includes satellite communication.
5. There is an inverse relation between wavelength and frequency.

Mathematical principle-

$E=hV\\\\E=h\frac{c}{\alpha } \\\\\alpha =wavelength\\c=Light-Speed$

Calculations-

From this we can derive the formula for frequency -

$V=\frac{c}{\alpha }$

$\alpha =\frac{c}{V}$

=3x10⁸ /98.3

=3033367.04/10⁶

=3.03336704 m

To know more about wavelength of radio waves-

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