It must exist in p<span>lasma state.</span>
Answer:
Image distance of apple=-6.7 cm
Magnification of apple=0.33
Explanation:
We are given that an apple is placed 20.cm in front of a diverging lens.
Object distance=u=-20 cm
Focal length=f=-10 cm
Because focal length of diverging lens is negative.
We have to find the image distance and magnification of the apple.
Lens formula
![\frac{1}{f}=\frac{1}{v}-\frac{1}{u}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bf%7D%3D%5Cfrac%7B1%7D%7Bv%7D-%5Cfrac%7B1%7D%7Bu%7D)
Substitute the values then we get
![-\frac{1}{10}=\frac{1}{v}+\frac{1}{20}](https://tex.z-dn.net/?f=-%5Cfrac%7B1%7D%7B10%7D%3D%5Cfrac%7B1%7D%7Bv%7D%2B%5Cfrac%7B1%7D%7B20%7D)
![\frac{1}{v}=-\frac{1}{10}-\frac{1}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bv%7D%3D-%5Cfrac%7B1%7D%7B10%7D-%5Cfrac%7B1%7D%7B20%7D)
![\frac{1}{v}=\frac{-2-1}{20}=-\frac{3}{20}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7Bv%7D%3D%5Cfrac%7B-2-1%7D%7B20%7D%3D-%5Cfrac%7B3%7D%7B20%7D)
![v=-\frac{20}{3}=-6.7 cm](https://tex.z-dn.net/?f=v%3D-%5Cfrac%7B20%7D%7B3%7D%3D-6.7%20cm)
Image distance of apple=-6.7 cm
Magnification=m=![\frac{v}{u}=\frac{-\frac{20}{3}}{-20}](https://tex.z-dn.net/?f=%5Cfrac%7Bv%7D%7Bu%7D%3D%5Cfrac%7B-%5Cfrac%7B20%7D%7B3%7D%7D%7B-20%7D)
Magnification of apple=![\frac{1}{3}=0.33](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%3D0.33)
Hence, the magnification of apple=0.33
Answer:
Q = 913.9 gpm
Explanation:
The Hazen Williams equation can be written as follows:
![P = \frac{4.52\ Q^{1.85}}{C^{1.85}d^{4.87}}](https://tex.z-dn.net/?f=P%20%3D%20%5Cfrac%7B4.52%5C%20Q%5E%7B1.85%7D%7D%7BC%5E%7B1.85%7Dd%5E%7B4.87%7D%7D)
where,
P = Friction Loss per foot of pipe =
= 4 x 10⁻⁴
Q = Flow Rate in gallon/min (gpm) = ?
d = pipe diameter in inches = (400 mm)(0.0393701 in/1 mm) = 15.75 in
C = roughness coefficient = 100
Therefore,
![4\ x \ 10^{-4} = \frac{4.52\ Q^{1.85}}{(100)^{1.85}(15.75)^{4.87}}\\\\Q^{1.85} = \frac{4\ x \ 10^{-4}}{1.33\ x\ 10^{-9}} \\\\Q = (300384.75)^\frac{1}{1.85}](https://tex.z-dn.net/?f=4%5C%20x%20%5C%2010%5E%7B-4%7D%20%3D%20%5Cfrac%7B4.52%5C%20Q%5E%7B1.85%7D%7D%7B%28100%29%5E%7B1.85%7D%2815.75%29%5E%7B4.87%7D%7D%5C%5C%5C%5CQ%5E%7B1.85%7D%20%3D%20%5Cfrac%7B4%5C%20x%20%5C%2010%5E%7B-4%7D%7D%7B1.33%5C%20x%5C%2010%5E%7B-9%7D%7D%20%5C%5C%5C%5CQ%20%3D%20%28300384.75%29%5E%5Cfrac%7B1%7D%7B1.85%7D)
<u>Q = 913.9 gpm</u>
Ventilation is very important because it helps remove the gas form people’s homes and schools and it redirects the random gas outside so it is less likely to hurt people