Answer:
![10^{-4.8}\ W/m^2](https://tex.z-dn.net/?f=10%5E%7B-4.8%7D%5C%20W%2Fm%5E2)
![10^{-6.7}\ W/m^2](https://tex.z-dn.net/?f=10%5E%7B-6.7%7D%5C%20W%2Fm%5E2)
![8.4260664798\times 10^{-8}\ m](https://tex.z-dn.net/?f=8.4260664798%5Ctimes%2010%5E%7B-8%7D%5C%20m)
![9.4542020875\times 10^{-9}\ m](https://tex.z-dn.net/?f=9.4542020875%5Ctimes%2010%5E%7B-9%7D%5C%20m)
Explanation:
= Density of air = 1.21 kg/m³
v = Speed of sound in air = 343 m/s
= Threshold intensity = ![10^{-12}\ W/m^2](https://tex.z-dn.net/?f=10%5E%7B-12%7D%5C%20W%2Fm%5E2)
f = Frequency = 522 Hz
Intensity of sound is given by
![\beta=10log\dfrac{I}{I_0}\\\Rightarrow 72=10log\dfrac{I}{10^{-12}}\\\Rightarrow \dfrac{72}{10}=log\dfrac{I}{10^{-12}}\\\Rightarrow 10^{\dfrac{72}{10}}=\dfrac{I}{10^{-12}}\\\Rightarrow I=10^{\dfrac{72}{10}}\times 10^{-12}\\\Rightarrow I=10^{-4.8}\ W/m^2](https://tex.z-dn.net/?f=%5Cbeta%3D10log%5Cdfrac%7BI%7D%7BI_0%7D%5C%5C%5CRightarrow%2072%3D10log%5Cdfrac%7BI%7D%7B10%5E%7B-12%7D%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B72%7D%7B10%7D%3Dlog%5Cdfrac%7BI%7D%7B10%5E%7B-12%7D%7D%5C%5C%5CRightarrow%2010%5E%7B%5Cdfrac%7B72%7D%7B10%7D%7D%3D%5Cdfrac%7BI%7D%7B10%5E%7B-12%7D%7D%5C%5C%5CRightarrow%20I%3D10%5E%7B%5Cdfrac%7B72%7D%7B10%7D%7D%5Ctimes%2010%5E%7B-12%7D%5C%5C%5CRightarrow%20I%3D10%5E%7B-4.8%7D%5C%20W%2Fm%5E2)
![\beta=10log\dfrac{I}{I_0}\\\Rightarrow 53=10log\dfrac{I}{10^{-12}}\\\Rightarrow \dfrac{53}{10}=log\dfrac{I}{10^{-12}}\\\Rightarrow 10^{\dfrac{53}{10}}=\dfrac{I}{10^{-12}}\\\Rightarrow I=10^{\dfrac{53}{10}}\times 10^{-12}\\\Rightarrow I=10^{-6.7}\ W/m^2](https://tex.z-dn.net/?f=%5Cbeta%3D10log%5Cdfrac%7BI%7D%7BI_0%7D%5C%5C%5CRightarrow%2053%3D10log%5Cdfrac%7BI%7D%7B10%5E%7B-12%7D%7D%5C%5C%5CRightarrow%20%5Cdfrac%7B53%7D%7B10%7D%3Dlog%5Cdfrac%7BI%7D%7B10%5E%7B-12%7D%7D%5C%5C%5CRightarrow%2010%5E%7B%5Cdfrac%7B53%7D%7B10%7D%7D%3D%5Cdfrac%7BI%7D%7B10%5E%7B-12%7D%7D%5C%5C%5CRightarrow%20I%3D10%5E%7B%5Cdfrac%7B53%7D%7B10%7D%7D%5Ctimes%2010%5E%7B-12%7D%5C%5C%5CRightarrow%20I%3D10%5E%7B-6.7%7D%5C%20W%2Fm%5E2)
The intensities are
![10^{-4.8}\ W/m^2](https://tex.z-dn.net/?f=10%5E%7B-4.8%7D%5C%20W%2Fm%5E2)
![10^{-6.7}\ W/m^2](https://tex.z-dn.net/?f=10%5E%7B-6.7%7D%5C%20W%2Fm%5E2)
Intensity of sound is also given by
![I=2\pi^2\rho vf^2S^2\\\Rightarrow S=\sqrt{\dfrac{I}{2\pi^2\rho vf^2}}\\\Rightarrow S=\sqrt{\dfrac{10^{-4.8}}{2\pi^2\times 1.21\times 343\times 522^2}}\\\Rightarrow S=8.4260664798\times 10^{-8}\ m](https://tex.z-dn.net/?f=I%3D2%5Cpi%5E2%5Crho%20vf%5E2S%5E2%5C%5C%5CRightarrow%20S%3D%5Csqrt%7B%5Cdfrac%7BI%7D%7B2%5Cpi%5E2%5Crho%20vf%5E2%7D%7D%5C%5C%5CRightarrow%20S%3D%5Csqrt%7B%5Cdfrac%7B10%5E%7B-4.8%7D%7D%7B2%5Cpi%5E2%5Ctimes%201.21%5Ctimes%20343%5Ctimes%20522%5E2%7D%7D%5C%5C%5CRightarrow%20S%3D8.4260664798%5Ctimes%2010%5E%7B-8%7D%5C%20m)
![S=\sqrt{\dfrac{I}{2\pi^2\rho vf^2}}\\\Rightarrow S=\sqrt{\dfrac{10^{-6.7}}{2\pi^2\times 1.21\times 343\times 522^2}}\\\Rightarrow S=9.4542020875\times 10^{-9}\ m](https://tex.z-dn.net/?f=S%3D%5Csqrt%7B%5Cdfrac%7BI%7D%7B2%5Cpi%5E2%5Crho%20vf%5E2%7D%7D%5C%5C%5CRightarrow%20S%3D%5Csqrt%7B%5Cdfrac%7B10%5E%7B-6.7%7D%7D%7B2%5Cpi%5E2%5Ctimes%201.21%5Ctimes%20343%5Ctimes%20522%5E2%7D%7D%5C%5C%5CRightarrow%20S%3D9.4542020875%5Ctimes%2010%5E%7B-9%7D%5C%20m)
The amplitudes are
![8.4260664798\times 10^{-8}\ m](https://tex.z-dn.net/?f=8.4260664798%5Ctimes%2010%5E%7B-8%7D%5C%20m)
![9.4542020875\times 10^{-9}\ m](https://tex.z-dn.net/?f=9.4542020875%5Ctimes%2010%5E%7B-9%7D%5C%20m)
C. Falling unstable air forms a cold airmass
Physics is not a strong subject for me, but I am almost 100% sure the answer is C.
Hope this helps!!
Answer: Global Positioning System (GPS)
Explanation:
Geographic Information Systems consists of a system of satellites that orbit the earth on precisely paths, broadcasting highly accurate time and location information is known as Global Positioning System (GPS). The Global Positioning System consists of various satellites that orbit the Earth and make it possible for people with ground receivers to pinpoint their geographic location. The signals also allow the electronic receiver to calculate the current local time to high precision, which allows time synchronisation.
I'm pretty sure it's B
I hope that helps