Answer:
the distance from point C to D is 7.75m
Explanation:
Answer:
4.3 cm
Explanation:
We are given that
Width,d=70.3![\mu m=70.3\times10^{-6} m](https://tex.z-dn.net/?f=%5Cmu%20m%3D70.3%5Ctimes10%5E%7B-6%7D%20m)
![1\mu m=10^{-6} m](https://tex.z-dn.net/?f=1%5Cmu%20m%3D10%5E%7B-6%7D%20m)
Wavelength,![\lambda=719 nm=719\times 10^{-9} m](https://tex.z-dn.net/?f=%5Clambda%3D719%20nm%3D719%5Ctimes%2010%5E%7B-9%7D%20m)
![1nm=10^{-9} m](https://tex.z-dn.net/?f=1nm%3D10%5E%7B-9%7D%20m)
![r=2.11 m](https://tex.z-dn.net/?f=r%3D2.11%20m)
We have to find the width in cm of the pattern.
The angle for the first minimum m=1
![sin\theta_{min}\approx \theta=\frac{\lambda}{d}=\frac{719\times 10^{-9}}{70.3\times 10^{-6}}=0.0102 rad](https://tex.z-dn.net/?f=sin%5Ctheta_%7Bmin%7D%5Capprox%20%5Ctheta%3D%5Cfrac%7B%5Clambda%7D%7Bd%7D%3D%5Cfrac%7B719%5Ctimes%2010%5E%7B-9%7D%7D%7B70.3%5Ctimes%2010%5E%7B-6%7D%7D%3D0.0102%20rad%20)
![y=r\theta=2.11\times 0.0102=0.0215 m](https://tex.z-dn.net/?f=y%3Dr%5Ctheta%3D2.11%5Ctimes%200.0102%3D0.0215%20m)
The width of the pattern=![2y=2\times 0.0215=0.043 m=0.043\times 100=4.3 cm](https://tex.z-dn.net/?f=2y%3D2%5Ctimes%200.0215%3D0.043%20m%3D0.043%5Ctimes%20100%3D4.3%20cm)
Answer:
Pressure applied by the man= 285103.125
or 41.35 ![lb/in^{2}](https://tex.z-dn.net/?f=lb%2Fin%5E%7B2%7D)
Explanation:
Pressure is defined as the perpendicular force applied per unit area.
i.e. ![Pressure=\frac{Force}{Area}](https://tex.z-dn.net/?f=Pressure%3D%5Cfrac%7BForce%7D%7BArea%7D)
Now, ![Force= mg](https://tex.z-dn.net/?f=Force%3D%20mg)
where,
= mass of the body(man) = 93 kg
= acceleration due to gravity of Earth = 9.81 ![m/{s^{2}}](https://tex.z-dn.net/?f=m%2F%7Bs%5E%7B2%7D%7D)
covered is equal to the area of both stilts(a man generally stands on two feet)
therefore
![m^{2}](https://tex.z-dn.net/?f=m%5E%7B2%7D)
and putting in the values, we get,
![Pressure=\frac{93\times9.81}{2\times(0.04)^{2}}Nm^{-2}=285103.125Nm^{-2}](https://tex.z-dn.net/?f=Pressure%3D%5Cfrac%7B93%5Ctimes9.81%7D%7B2%5Ctimes%280.04%29%5E%7B2%7D%7DNm%5E%7B-2%7D%3D285103.125Nm%5E%7B-2%7D)
Now we need to convert to our required units:
![1Nm^{-2}=1Pa\\1Pa=0.000145038lb/in^{2}](https://tex.z-dn.net/?f=1Nm%5E%7B-2%7D%3D1Pa%5C%5C1Pa%3D0.000145038lb%2Fin%5E%7B2%7D)
(We can get the above result by individually converting kg to lb and meters to inches respectively)
Using the above relations we get,
![Pressure=285103.125Pa=0.000145038\times285103.125lb/in^{2}=41.35lb/in^{2}](https://tex.z-dn.net/?f=Pressure%3D285103.125Pa%3D0.000145038%5Ctimes285103.125lb%2Fin%5E%7B2%7D%3D41.35lb%2Fin%5E%7B2%7D)
Answer:
Following are the solution to the given question:
Explanation:
Its best approach to this measurement ought to be to indicate that there was a mistake throughout the calculation, as well as the gathering of further details while researching cells for bacteria, directly measuring the cell length of a colony. This chart illustrates its data, which scientists have observed that there's still a measurement.