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Wifi Waves

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Wifi Waves


1. Problem: Understand properties of Wi-Fi signals and related wave concepts. 2. (a)(i) Similarity of Wi-Fi signals at 2.4 GHz and 5.2 GHz: They are both electromagnetic waves and travel at the speed of light. 3. (a)(ii) Difference due to frequency: They have different wavelengths because wavelength depends inversely on frequency. 4. (b)(i) Formula linking speed ($v$), frequency ($f$), and wavelength ($\lambda$): $$v = f \times \lambda$$ 5. (b)(ii) Calculate wavelength for frequency $5.2 \times 10^{9}$ Hz: Using $$\lambda = \frac{v}{f} = \frac{3.0 \times 10^{8}}{5.2 \times 10^{9}} = 0.05769\, \text{m} \approx 0.058\, \text{m}$$ 6. (c)(i) Type of wave is a Wi-Fi signal: Wi-Fi signals are electromagnetic waves, which are transverse waves. So, answer is D transverse. 7. (c)(ii) Difference between transverse and longitudinal waves: Transverse waves oscillate perpendicular to the direction of wave propagation. Longitudinal waves oscillate parallel to the direction of wave propagation. Example diagrams: - Transverse: wave moves horizontally, oscillations vertically. - Longitudinal: compression and rarefaction along direction of travel. Final answers: (a)(i) Both are electromagnetic waves. (a)(ii) Different wavelengths. (b)(i) $v = f \times \lambda$ (b)(ii) $0.058$ m (c)(i) D transverse (c)(ii) Explained above.