Consider the RF wavelength of Wi-Fi and 5G mmWave signals. Which of the following is true?
Choices are:
a) Wavelength of Wi-Fi signal is larger than that of mmWave signal.
b) Wavelength of Wi-Fi signal is smaller than that of mmWave signal.
c) Wavelength of Wi-Fi signal is equal to that of mmWave signal.
d) None of the above.
b) Wavelength of Wi-Fi signal is smaller than that of mmWave signal.
To determine which of the choices is true, let's first understand the wavelengths of Wi-Fi and mmWave signals.
Wi-Fi signals typically operate in the range of 2.4 GHz (Gigahertz) or 5 GHz, while mmWave signals refer to the millimeter wave spectrum, which operates in the range of 30 GHz to 300 GHz.
The wavelength of a signal can be calculated using the formula:
Wavelength (λ) = Speed of Light (c) / Frequency (f)
Where the speed of light is approximately 3 x 10^8 meters per second (m/s).
Let's calculate the wavelengths for both Wi-Fi and mmWave signals.
For Wi-Fi (assuming 2.4 GHz frequency):
Wavelength (λ) = (3 x 10^8 m/s) / (2.4 x 10^9 Hz)
Wavelength (λ) ≈ 0.125 meters or 125 millimeters
For mmWave signals (assuming 30 GHz frequency):
Wavelength (λ) = (3 x 10^8 m/s) / (30 x 10^9 Hz)
Wavelength (λ) ≈ 0.01 meters or 10 millimeters
Now, let's compare the calculated wavelengths with the choices provided:
a) Wavelength of Wi-Fi signal is larger than that of mmWave signal.
False. The wavelength of Wi-Fi signal (0.125 meters) is smaller than the wavelength of mmWave signal (0.01 meters).
b) Wavelength of Wi-Fi signal is smaller than that of mmWave signal.
True. As calculated, the wavelength of Wi-Fi signal (0.125 meters) is smaller than the wavelength of mmWave signal (0.01 meters).
c) Wavelength of Wi-Fi signal is equal to that of mmWave signal.
False. The wavelengths are not equal.
d) None of the above.
False. The correct answer is option b) Wavelength of Wi-Fi signal is smaller than that of mmWave signal.
Thus, choice b) is the correct statement.
The correct answer is:
a) Wavelength of Wi-Fi signal is larger than that of mmWave signal.