Answer:
a) n2 = 1.55
b) 408.25 nm
c) 4.74*10^14 Hz
d) 1.93*10^8 m/s
Explanation:
a) To find the index of refraction of the syrup solution you use the Snell's law:
(1)
n1: index of refraction of air
n2: index of syrup solution
angle1: incidence angle
angle2: refraction angle
You replace the values of the parameter in (1) and calculate n2:
![n_2=\frac{n_1sin\theta_1}{sin\theta_2}=\frac{(1)(sin30.2\°)}{sin18.82\°}=1.55](https://tex.z-dn.net/?f=n_2%3D%5Cfrac%7Bn_1sin%5Ctheta_1%7D%7Bsin%5Ctheta_2%7D%3D%5Cfrac%7B%281%29%28sin30.2%5C%C2%B0%29%7D%7Bsin18.82%5C%C2%B0%7D%3D1.55)
b) To fond the wavelength in the solution you use:
![\frac{\lambda_2}{\lambda_1}=\frac{n_1}{n_2}\\\\\lambda_2=\lambda_1\frac{n_1}{n_2}=(632.8nm)\frac{1.00}{1.55}=408.25nm](https://tex.z-dn.net/?f=%5Cfrac%7B%5Clambda_2%7D%7B%5Clambda_1%7D%3D%5Cfrac%7Bn_1%7D%7Bn_2%7D%5C%5C%5C%5C%5Clambda_2%3D%5Clambda_1%5Cfrac%7Bn_1%7D%7Bn_2%7D%3D%28632.8nm%29%5Cfrac%7B1.00%7D%7B1.55%7D%3D408.25nm)
c) The frequency of the wave in the solution is:
![v=\lambda_2 f_2\\\\f_2=\frac{v}{\lambda_2}=\frac{c}{n_2\lambda_2}=\frac{3*10^8m/s}{(1.55)(408.25*10^{-9}m)}=4.74*10^{14}\ Hz](https://tex.z-dn.net/?f=v%3D%5Clambda_2%20f_2%5C%5C%5C%5Cf_2%3D%5Cfrac%7Bv%7D%7B%5Clambda_2%7D%3D%5Cfrac%7Bc%7D%7Bn_2%5Clambda_2%7D%3D%5Cfrac%7B3%2A10%5E8m%2Fs%7D%7B%281.55%29%28408.25%2A10%5E%7B-9%7Dm%29%7D%3D4.74%2A10%5E%7B14%7D%5C%20Hz)
d) The speed in the solution is given by:
![v=\frac{c}{n_2}=\frac{3*10^8m/s}{1.55}=1.93*10^8m/s](https://tex.z-dn.net/?f=v%3D%5Cfrac%7Bc%7D%7Bn_2%7D%3D%5Cfrac%7B3%2A10%5E8m%2Fs%7D%7B1.55%7D%3D1.93%2A10%5E8m%2Fs)
There is no acceleration in the horizontal direction (just g in the vertical), so we can use v = d/t, where v is velocity, d is distance and t is time. We can solve for time like so: t = d/v, we can plug in numbers (v is 39.1m/s completely in the horizontal direction, so no need to break it down with sin's and cos's, just plug it in) and we get t = (16.6m)/(39.1 m/s) = 0.42 s. Keep in mind it wouldn't fall far enough vertically to hit home plate (though we don't know the ball's initial height anyway), but would be in the air just above it. Cheers!
Answer:
The principle of a potentiometer is that the potential dropped across a segment of a wire of uniform cross-section carrying a constant current is directly proportional to its length. The potentiometer is a simple device used to measure the electrical potentials (or compare the e.m.f of a cell).
Explanation:
I hope it will help you
Answer:
A : hot and moist, maritime tropical
B: cold and dry, maritime polar
C: hot and moist , maritime tropical
D: cold and dry, continental polar
E: hot and moist , maritime tropical
F: cold and dry , maritime polar
Explanation:
Cold air is denser than warm air. The more water vapor that is in the air, the less dense the air becomes. That is why cold, dry air is much heavier than warm, humid air.
Maritime polar (mP) air masses are cool, moist, and unstable. Some maritime polar air masses originate as continental polar air masses over Asia and move westward over the Pacific, collecting warmth and moisture from the ocean.
Maritime tropical (mT) air masses are warm, moist, and usually unstable.