Mirrors Flat Mirror Concave Mirror Convex Mirror Curved mirrors are analogous to lenses Ray tracing and thin lens equation also valid. /Resources 6 0 R /Filter /FlateDecode >> Concave lens + concave mirror 2. Find focal points of mirror 2 in terms of d. Ray hits the vertex of mirror 1 and reflects with same angle. stream l��J�!U?�w�� ���o��,�y�?ߕL\�$' �2ÍmUo��k �rvԚ�� Look at the given picture below. x�+TT(c}�\C�|�@ 1�� 23 5 0 obj xڽXK��6��W�T� A���Y�f���IͤrHr�H�čDʤd���~��䐚�Q�h�_7h" &J��[-�3m��73#+���ͅE��)֪<1S�+^��*�-����2�8{�O�G����בMҨ�y\��TW��mW����q��_����T��o�߂�0���I�¤*I3�������}Yϭ�� �f,~@q۹���Z�C�E�b�uwl��{���zA� Concave lens + plain mirror 3. Ray, coming from first mirror turns back with same path after reflecting from second mirror. 1. An observer to the right of the mirror-lens combination shown in the figure sees two real images that are the same size and in the same location. endstream Explain the process of finding the focal length in the following cases. A conver gent lens forms inverted, real images of real objects located outside the focal point (p > f). %PDF-1.4 endobj One image is upright and the other is inverted. 1 0 obj Combinations of Mirrors and Thin Lenses Problems from IIT JEE. 3 0 obj Learn the concepts of Class 12 Physics Ray Optics and Optical Instruments with Videos and Stories. 15 points. Two concave mirrors are placed on same principal axis. O4.5 ONE CONVERGING LENS AND A CONCAVE MIRROR which form a three part problem because the rays travel through the lens, reflect, and pass through the lens a second time. endobj Theoretical conceptual questions on mirrors … /Filter /FlateDecode << /Type /Page /Parent 7 0 R /Resources 3 0 R /Contents 2 0 R /MediaBox Both images are 1.70 times larger than the object. stream real and virtual images are also formed Image, upright, virtual Object and image distance equal Flat Mirror d d object image Object and image same size 8. Convex lens + convex mirror. The plane surface of the lens is now silvered. The lens and mirror are separated by 40.0cm. ML�|��z�ꁹE����r�!s�Cyd"��W��:~x��O���o���j���q�����$��J0A��T ..&�)�6��$2� �*h?�@���/2�����M�������'6>vJBa'rRe3+�{]Ö��+)�6�%R-��ݖL��f.p����}��m�vAaEiu�K�f���sz�1��6(�. [0 0 696 876] /CropBox [36 36 660 840] /TrimBox [42 42 654 834] >> Problem (IIT JEE 2006): A point object is placed at a distance of 20 cm from a thin plano-convex lens of focal length 15 cm. >> ⇒ the thin-lens / mirror equation and the magnification equation . << /Length 4 0 R /Filter /FlateDecode >> endobj To solve a multiple component problem, the “easiest” method is to break the problem into parts. �8'�P�~�#I$���({������$�zrLaQ�^�:�_�� �� �Q!P ��8��d���MV��5�W�O�$����Z�bZ� a\$�jb�{ߵ��p7'�h��y�U3���4�C?ŅR�H�4M8)5C+�. 9. endobj 2 0 obj W ith a real object in front of a convex mirror , the image is always upright, virtual, diminished in size, and located between the mirror and the focal point. 4 0 obj Whenever a light ray hits the interface between two tr ansparent materials, generally some of the light is reflected (the angle of reflection equals the angle of incidence: θ r = θ i) and some of the light is transmitted or refracted. Optics Exam2 and Problem Solutions 1. << /S /GoTo /D [6 0 R /Fit ] >> The lens has a focal length of 11.2cm. << /Length 8 0 R /Type /XObject /Subtype /Form /FormType 1 /BBox [0 0 696 876] lots of examples . << /ProcSet [ /PDF ] /XObject << /Fm1 5 0 R >> >> Thus, of the available choices, only choice (d) is a true statement. LENS AND MIRROR CALCULATIONS 2.1 Introduction The equation that relates object distance p, image distance q and focal length f is ... at the following problem: The three lenses all have different refractive indices, all radii of curvature are different, the whole thing is immersed in water, the last surface is a mirror, and the object is a virtual object. The image created by the system is at, sign conventions . /Length 2082 %��������� Problem Solving . %���� xڭZY��F~�_Q����:(�����^�ڞ~و�pЈ�� � �v�߬�P��9|��e֗g%h>���'\�g���$?��Lտ�,�0���g&? endobj 10 0 obj << Problem Set 9: SOLUTIONS 1. O4.2 A real image from two converging lenses. %PDF-1.3 stream 5 0 obj