What is the wavelength in inches for the K-Band?

• A. 1.1 Inch
• B. 0.49 Inch
• C. 0.34 Inch
• D. 0.75 Inch

Answer: (B)

The K-Band, which is a portion of the electromagnetic spectrum, typically operates in the frequency range of approximately 18 to 27 GHz. To convert frequency to wavelength, you can use the formula:

[ \text{Wavelength (in meters)} = \frac{c}{f} ]

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

If we take a frequency of around 24 GHz (which is a common frequency for K-Band), the calculation would be:

1. Convert 24 GHz to hertz:

( 24 \text{ GHz} = 24 \times 10^9 \text{ Hz} ).

2. Calculate the wavelength in meters:

( \text{Wavelength} = \frac{3 \times 10^8}{24 \times 10^9} = 0.0125 \text{ meters} ).

3. Convert meters to inches (1 meter = 39.37 inches):

( 0.0125 \text{ meters} \times 39.37 = 0