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Explore the laws of reflection with curved mirrors through Mount Moran photograph example. Learn focal distance of spherical mirrors, parabola curves, and off-axis parabolic mirrors.
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GEOMETRICAL OPTICS Laws of Reflection Curved mirrors TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AAAAAA
Reflection from a surface Incident ray and the reflected one is in one plane The angle of reflection equals angle of incidence Photograph of Mount Moran in the Grand Teton National Park in Wyoming - taken by Becky Henderson
2dq Rdq Rdqcosq R FIND THE FOCAL DISTANCE OF A SPHERICAL MIRROR 1) Case of the “cup” q Angle of incidence = angle of reflection
R = 2 cos q FIND THE FOCAL DISTANCE OF A SPHERICAL MIRROR 2) Other dimension (sphere) A O A 2q q O D B AB = AD/sin2q = R sinq/ sin2q Reflected ray in the plane of incidence
Parabola: curve at equal distance from a point (F) and line y = ax2 F B A O x d E D
Parabolic mirror: why do all rays perpendicular to the directrix converge at the focus F? F y=2ax A x x O 2 C d D E