What is the approximate wavelength of an X Band Radar operating on a frequency of approximately 9500 MHz?

To determine the approximate wavelength of an X Band Radar operating at a frequency of around 9500 MHz, it is essential to use the relationship between wavelength and frequency. Wavelength (( \lambda )) can be calculated using the formula:

[

\lambda = \frac{c}{f}

]

where ( c ) is the speed of light (approximately ( 3 \times 10^8 ) meters per second) and ( f ) is the frequency in Hertz (Hz).

First, convert the frequency from megahertz (MHz) to hertz (Hz):

[

9500 , \text{MHz} = 9500 \times 10^6 , \text{Hz} = 9.5 \times 10^9 , \text{Hz}

]

Next, substitute the values into the wavelength formula:

[

\lambda = \frac{3 \times 10^8 , \text{m/s}}{9.5 \times 10^9 , \text{Hz}}

]

Calculating this gives:

[

\lambda \approx 0.0316 , \text{meters} = 3.16 ,