Optics by M.H. Freeman, PhD, MPhil, BSc, MInstP, and C.C. Hull, PhD,

By M.H. Freeman, PhD, MPhil, BSc, MInstP, and C.C. Hull, PhD, DIC, MInstp, CPhys (Auth.)

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1 Image formed by reflection at a plane surface – Huygens’ construction wavelets which travel back to M in the same that the incident light would have traveled to L. Because the speed is the same, AM is the same distance as AL. The same thing happens at G and at every point on the mirror surface between R and S. Because RS is a straight line and every point on SMR is the same distance from the mirror as it would have been on SLR, the curvature of SMR is the same as SLR, except that SLR is centered on B and SMR is centered on B0 , where AB0 ¼ BA.

Illustrate your answer with diagrams showing the form of the wavefront in each case. A point source of light, emitting light in all directions, is placed behind an opaque square object. Draw a diagram showing the paths of rays from the source to a screen placed behind the object and hence comment on the nature of the shadow image formed on the screen. 18 23 A circular source of diameter 5 cm is placed 30 cm from an opaque circular object of diameter 20 cm. Find the diameter of the total shadow region and the diameter of the edge of the partial shadow region on a screen located 60 cm from the source.

Find the diameter of the total shadow region and the diameter of the edge of the partial shadow region on a screen located 60 cm from the source. If the source is uniform, how does the light intensity change in the partial shadow region? A diverging beam of light from a point source passes through an aperture of diameter 40 mm located 50 cm from the source. Calculate the area of the beam cross-section at distances of 75 cm and 100 cm from the source. Explain carefully how a pinhole camera can form a sharp image.

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