# HW-12s - HOMEWORK SOLUTIONS FOR JULY 21 1 An object is...

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1. An object is placed 10 cm from the vertex of a concave mirror of radius of curvature 12 cm. Find the image distance and the magnification, and characterize the image in the usual way. Check your results by ray tracing using three different rays. 0 œ VÎ œ Ð ÑÎ œ 10 cm and 2 12 cm 2 6 cm 1/ 1 1 1 6 cm 1 10 cm (5 3) (30 cm) 2 (30 cm) 1 (15 cm) so 3 œ Î0  Î9 œ ÎÐ Ñ  ÎÐ Ñ œ Î œ Î œ Î 3 œ 7 œ  3Î9 œ  Ð ÑÎÐ Ñ œ  15 cm. Then 15 cm 10 cm 1.5. Image is real, inverted, and 1.5 times as large as the object. 2. Repeat this for an object placed 12 cm from the vertex of a convex mirror of the same radius of curvature. 0 œ VÎ œ Ð ÑÎ œ  12 cm and 2 12 cm 2 6 cm 1/ 1 1 1 6 cm 1 12 cm ( 2 1) (12 cm) 3 (12 cm) 3 œ Î0  Î9 œ ÎÐ  Ñ  ÎÐ Ñ œ  Î œ  Î œ Î 3œ 7œ3 Î 9œÐ Ñ Î Ð Ñœ 1 ( 4 cm) so 4 cm. Then

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HW-12s - HOMEWORK SOLUTIONS FOR JULY 21 1 An object is...

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