Answer:
20 Hz, 20000 Hz
0.0166 m, 16.6 m
Explanation:
The minimum frequency that a human ear can hear is 20 Hz
The maximum frequency that a human ear can hear is 20000 Hz.
v = Velocity of sound = 332 m/s
Wavelength is given by
![\lambda=\dfrac{v}{f}\\\Rightarrow \lambda=\dfrac{332}{20}\\\Rightarrow \lambda=16.6\ \text{m}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7Bv%7D%7Bf%7D%5C%5C%5CRightarrow%20%5Clambda%3D%5Cdfrac%7B332%7D%7B20%7D%5C%5C%5CRightarrow%20%5Clambda%3D16.6%5C%20%5Ctext%7Bm%7D)
The longest wavelength that can be heard by the human ear is 16.6 m
![\lambda=\dfrac{332}{20000}\\\Rightarrow \lambda=0.0166\ \text{m}](https://tex.z-dn.net/?f=%5Clambda%3D%5Cdfrac%7B332%7D%7B20000%7D%5C%5C%5CRightarrow%20%5Clambda%3D0.0166%5C%20%5Ctext%7Bm%7D)
The shortest wavelength that can be heard by the human ear is 0.0166 m.
Answer:
1
The ancient Olympic games only allowed people of Greek descent to participate. The Salt Lake City Olympics featured 2600 athletes from 77 countries. Only a few hundred athletes participated in the ancient games.
#2
Only men were allowed to compete in the ancient Greek games. Athletic training in ancient Greece was part of every free male citizen's education. The first women to compete in the Olympics were Marie Ohnier and Mme. Brohy. They participated in croquet games in the 1900 Olympics.
The question is incomplete. The complete question is :
The pressure difference, Δp, ac
ross a partial blockage in an artery (called a stenosis) is approximated by the equation :
![$\Delta p=K_v\frac{\mu V}{D}+K_u\left(\frac{A_0}{A_1}-1\right)^2 \rho V^2$](https://tex.z-dn.net/?f=%24%5CDelta%20p%3DK_v%5Cfrac%7B%5Cmu%20V%7D%7BD%7D%2BK_u%5Cleft%28%5Cfrac%7BA_0%7D%7BA_1%7D-1%5Cright%29%5E2%20%5Crho%20V%5E2%24)
Where V is the blood velocity, μ the blood viscosity {FT/L2}, ρ the blood density {M/L3}, D the artery diameter,
the area of the unobstructed artery, and A1 the area of the stenosis. Determine the dimensions of the constants
and
. Would this equation be valid in any system of units?
Solution :
From the dimension homogeneity, we require :
![$\Delta p=K_v\frac{\mu V}{D}+K_u\left(\frac{A_0}{A_1}-1\right)^2 \rho V^2$](https://tex.z-dn.net/?f=%24%5CDelta%20p%3DK_v%5Cfrac%7B%5Cmu%20V%7D%7BD%7D%2BK_u%5Cleft%28%5Cfrac%7BA_0%7D%7BA_1%7D-1%5Cright%29%5E2%20%5Crho%20V%5E2%24)
Here, x means dimension of x. i.e.
![$[ML^{-1}T^{-2}]=\frac{[K_v][ML^{-1}T^{-1}][LT^{-1}]}{[L]}+[K_u][1][ML^{-3}][L^2T^{-2}]$](https://tex.z-dn.net/?f=%24%5BML%5E%7B-1%7DT%5E%7B-2%7D%5D%3D%5Cfrac%7B%5BK_v%5D%5BML%5E%7B-1%7DT%5E%7B-1%7D%5D%5BLT%5E%7B-1%7D%5D%7D%7B%5BL%5D%7D%2B%5BK_u%5D%5B1%5D%5BML%5E%7B-3%7D%5D%5BL%5E2T%5E%7B-2%7D%5D%24)
![$=[K_v][ML^{-1}T^{-2}]+[K_u][ML^{-1}T^{-2}]$](https://tex.z-dn.net/?f=%24%3D%5BK_v%5D%5BML%5E%7B-1%7DT%5E%7B-2%7D%5D%2B%5BK_u%5D%5BML%5E%7B-1%7DT%5E%7B-2%7D%5D%24)
So,
dimensionless
So,
and
are dimensionless constants.
This equation will be working in any system of units. The constants
and
will be different for different system of units.
I think that the best one is determining one's sense of individuality and place in society.