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    Optics problem, adding quantities

    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) +...
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    Optics problem involving a converging lens

    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...
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    Deriving equations involving sin and cos

    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...
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    Finding the minimum angle of deviation for an equilateral prism

    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) ?
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    Optics, involving index of refraction

    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.
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    Finding the minimum angle of deviation for an equilateral prism

    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)...
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    Optics, involving index of refraction

    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...
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    Deriving equations involving sin and cos

    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...
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    Deriving equations involving sin and cos

    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...
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    Isothermal expansion of an ideal gas

    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...
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