Homework Statement
-Find the sum of the two quantities:
Y1=sin(Wt) Y2=sin(Wt+30 degrees)
Homework Equations
Y(x,t)=AsinK(kx+Wt) <------- not sure if this is relevant
W=2(3.14)f , where f=frequency
The Attempt at a Solution
sin(Wt) + sin(Wt+30) = sin(Wt) + sin(Wt) +...
Homework Statement
An Object and a screen are located a fixed distance D apart.
(A) Show that a converging lens of focal length F placed between the object and screen will form a real image on the screen for two positions that are separated by a distance d=(D(D-4F))^1/2
(B) Show that...
Homework Statement
I'm asked to derive equation(2) from equation(1).
equation(1): d=(tsin(2i))/((n^2-sin(i)^2)^1/2)
equation(2): n=sin(i)(((2tcos(i/d))^2+1)^1/2)
Homework Equations
The Attempt at a Solution
My attempts have got me nowhere, and I don't know how to even...
so i didn't cancel the 2's and i came up with:
1.5=((cos(60)sin(D)cos(D))/2)/(1/2)
1.5=((1/2sin(D)cos(D))/2)x2
0.75=(1/2sin(D)cos(D))/2
1.5=(1/2sin(D)cos(D))
1.5=1/2(1/2(2sin(D)cos(D)))
3=1/2(1/2sin(2D))
6=1/2sin(2D)
12=sin(2D)
?
I have a drawing that shows the viewing area from a point under the water going towards the surface at an unknown angle, then the viewing area widening once it breaks the surface. But I don't understand how to find the depth at which the viewing area is 180 degrees once it breaks the surface.
Homework Statement
Use the formula: n=(sin(A+D)/2)/(sin(A)/2) to find D for an equilateral prism of index of refraction n=1.50
(where A=apex angle for a prism=60 degrees in this case, and D=minimum angle of deviation)
Homework Equations
Snell's Law: (n1)sin(i)=(n2)sin(r)...
Homework Statement
At what distance below the surface of a lake will a fish have a 180 degree field view above the water surface (if the fish is looking up toward the surface of the lake) ?
-Assume the index of refraction for water to be 1.33 and that of air to be 1.00
Homework...
Thanks, that was just the help I needed!
Now I've been asked to derive a third equation from equation #2.
equation #3: d=ti(n-1)/n , this equation approximates the displacement for small incident angles(i).
(where i is measured in radians, n=index of refraction of the glass, note...
Homework Statement
This problem deals with the displacement of a light ray as it travels through a glass medium.
Starting with the equation #1: d=S[sin(i)cos(r)-cos(i)sin(r)]
(where d=the length of displacement of the light ray in the glass medium, i=angle of incidence...
Homework Statement
One mole of monatomic ideal gas is taken from an initial pressure(P) and volume(V) to a final pressure(2P) and volume(2V). It goes from pressure=P and volume=V to pressure=P/2 and volume=2V through isothermal expansion and from there volume stays constant but the pressure...