In a certain experiment, a radio transmitter emits sinusoidal electromagnetic waves of frequency 110.0 MHz in opposite directions inside a narrow cavity with reflectors at both ends, causing a standing-wave pattern to occur. (a) How far apart are the nodal planes of the magnetic field

Respuesta :

Answer:

1.364 m

Explanation:

We are given that

Frequency,[tex]\nu=110.0 MHz=110\times 10^6 Hz[/tex]

[tex]1 MHz=10^6Hz[/tex]

Speed of light,[tex]c=3\times 10^8 m/s[/tex]

We have to find the distance between the nodal planes of the magnetic field.

Wavelength,[tex]\lambda=\frac{c}{\nu}[/tex]

Using the formula

[tex]\lambda=\frac{3\times 10^8}{110\times 10^6}[/tex]

[tex]\lambda=2.727 m[/tex]

The distance between the nodal planes of the magnetic field=[tex]\frac{\lambda}{2}[/tex]

The distance between the nodal planes of the magnetic field=[tex]\frac{2.727}{2}=1.364 m[/tex]