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Prisms

A prism is an optical devce that will refract light. Typically it is in the shape of a triangular prism. The angles in the prism are determined by the practical use in which the prism is being used. The material of prisms cane be a number of transparent materials however, they are typically glass, plastic or fluorite. 

Prisms work through the principle that light changes speed from one material to another. The change of speed is due to refraction. The angle at which the lights path is bend is referred to as the refractive index of the two materials. The refractive index varies with the wavelength or color of the light used; this is known as dispersion.

Prisms are sometimes used for the internal reflection at the surface rather than just for dispersion. If light inside the prism hits one of the surfaces at a sufficiently steep angle, the total internal reflection occurs. This is when all the light is reflected. A prism is a useful substitute for a mirror in this instance. 

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Computing Potential Difference

Compute the potential difference: change in V = V(5,2,1)-V(7,6,2) between the points (5,2,1) and (7,6,2) due to a constant electrostatic field given by E=(8i-7j+15k) N/C. Assume that all positions are measured in meters.

Angle at which a Ray Emerges from a Prism

One of the angles of a prism is 90 degrees. The prism is made of glass of index of refraction 1.58. If a ray of light enters this prism at an angle of incidence of 70 degrees, what is the angle at which this ray emerges? See attachment for figure.

Refracted angle of the light exiting a prism

An equilateral prism made of glass, n = 1.67 @ 450nm, is given. If white light enters one face of the prism at 55 degrees incident angle, what would be the refracted angle of the light exiting the prism for 450nm?

Pressure versus depth in liquid; total force on rectangular

See attachment #1 for a diagram showing parameters. A solid prism has a vertical rectangular face of height H= .90 m by width W=.5 m and a horizontal rectangular face of length L= 1.2 m, with W=.5 m also. The prism is submerged in liquid whose density is D= 1600 kg/m^3 with the horizontal face at depth B= .35 m. PART a