(1) An isoscelesright triangular prism is made ofcrown glass with a refractiveindex of n = nG = 1.520 for light ofwavelengthλ = λ0 = 500 nm in free space or air, assuming thattherefractive index of air is n0 = 1.0, so that the speed of light inair isexactly c = 299792458.0 m/s. A ray of green light is incidentat anangle of θ1 = 30.0° with respect to the normal to thelong sideof the prism, the first interface.
(a) Find thefrequency of green light waves, f.
(b) Find the periodof green light waves, T.
(c) Find the speedof green light in crown glass, v= vG.
(d) Find thewavelength of green light in crownglass, λG.
(e) Find the energyof green light photons, E.
(f) At the firstinterface, find the angle ofrefraction, θ2.
(g) At the secondinterface, one of the prism's twoshort sides,
find the angle ofincidence and reflection, θ3.
(h) At the thirdinterface, the other of the prism'stwo short sides,
find the angle ofincidence and reflection, θ4.
(i) At the fourthinterface, the prism's long side,find the angle ofincidence, θ5.
(j) At the fourthinterface, find the angle ofrefraction, θ6.
(k) Find thecritical angle for total internalreflection, θC.
(l) Find if there istotal internal reflection ateither the first or the secondinternal reflection.
(m) Describe the special propertyof right triangular prisms.
(1) An isoscelesright triangular prism is made ofcrown glass with a refractiveindex of n = nG = 1.520 for light ofwavelengthλ = λ0 = 500 nm in free space or air, assuming thattherefractive index of air is n0 = 1.0, so that the speed of light inair isexactly c = 299792458.0 m/s. A ray of green light is incidentat anangle of θ1 = 30.0° with respect to the normal to thelong sideof the prism, the first interface.
(a) Find thefrequency of green light waves, f.
(b) Find the periodof green light waves, T.
(c) Find the speedof green light in crown glass, v= vG.
(d) Find thewavelength of green light in crownglass, λG.
(e) Find the energyof green light photons, E.
(f) At the firstinterface, find the angle ofrefraction, θ2.
(g) At the secondinterface, one of the prism's twoshort sides,
find the angle ofincidence and reflection, θ3.
(h) At the thirdinterface, the other of the prism'stwo short sides,
find the angle ofincidence and reflection, θ4.
(i) At the fourthinterface, the prism's long side,find the angle ofincidence, θ5.
(j) At the fourthinterface, find the angle ofrefraction, θ6.
(k) Find thecritical angle for total internalreflection, θC.
(l) Find if there istotal internal reflection ateither the first or the secondinternal reflection.
(m) Describe the special propertyof right triangular prisms.
