How Do I Calculate the Index of Refraction in a Prism?

AI Thread Summary
To calculate the index of refraction for a prism, start by applying Snell's Law at the air-prism interface. Given the angle of incidence (13 degrees) and the angle of refraction (15 degrees), the equation can be set up as 1.00 * sin(13) = n2 * sin(15). To find the angle of refraction within the prism, use the geometry of the prism, specifically considering the internal angles of the equilateral triangle. Drawing a diagram can help clarify the relationships between the angles and normals. This approach will lead to determining the index of refraction accurately.
mikeyplus10
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Homework Statement


For my lab I beamed a laser through an equilateral triangular prism. The angle of incidence was 13 degrees. The light left the prism at an angle 15 degrees to the normal. How would I calculate the index of refraction of the prism? (air = 1)


Homework Equations


The equation I need to use is θ_c = sin^-1 (n2/n1)
Snell's law



The Attempt at a Solution


I have tried using snell's law to find the first refraction in the prism. 1.00*(sin13) = n_2*θ_2. I believe to find θ_2, I need to use the geometry of the triangle, but am not sure where to begin
 
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welcome to pf!

hi mikeyplus10! welcome to pf! :smile:

(try using the X2 and X2 buttons just above the Reply box :wink:

first, draw a diagram, including the normals

(and remember that the angle between two lines is the same as the angle between their normals)
 
Thread 'Variable mass system : water sprayed into a moving container'

Thread 'Variable mass system : water sprayed into a moving container'

Starting with the mass considerations #m(t)# is mass of water #M_{c}# mass of container and #M(t)# mass of total system $$M(t) = M_{C} + m(t)$$ $$\Rightarrow \frac{dM(t)}{dt} = \frac{dm(t)}{dt}$$ $$P_i = Mv + u \, dm$$ $$P_f = (M + dm)(v + dv)$$ $$\Delta P = M \, dv + (v - u) \, dm$$ $$F = \frac{dP}{dt} = M \frac{dv}{dt} + (v - u) \frac{dm}{dt}$$ $$F = u \frac{dm}{dt} = \rho A u^2$$ from conservation of momentum , the cannon recoils with the same force which it applies. $$\quad \frac{dm}{dt}...
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