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

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

• A. 3 cm
• B. 10 cm
• C. 30 cm
• D. 100 cm

Answer: (A)

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 \,

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 ,