[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-657093-105":59,"doc-detail-657093-en":130},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":123,"head_meta":125,"extra_data":127,"updated_unix":129},105,"en","properties-of-a-concave-mirror-reflection-light-paths","Properties of a Concave Mirror - Reflection Light Paths","","Determine the properties of a concave mirror by tracing reflection of specific incident light rays using labeled optical-axis geometry. The procedure draws a circular arc, places the mirror, aligns a magnet-held lamp with slits so the beam follows the optical axis or hits defined points, and marks the reflected intersection on the axis. Observations confirm focal-point and vertex behaviors, with MS about twice FS. Evaluation links parallel, vertex, focal-point, and midpoint rays to reflection rules and defines radius of curvature r and focal length f, including the condition r = 2f.",{"@graph":69,"@context":122},[70,84,105],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":40,"@type":76,"position":81},"https://docshare.wps.com/document/research-report/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/properties-of-a-concave-mirror-reflection-light-paths/657093/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/properties-of-a-concave-mirror-reflection-light-paths/657093.png","ImageObject",300,407,{"name":92,"@type":93},"Muffet","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-30","2026-10-26",true,{"@type":102,"interactionType":103,"userInteractionCount":19},"InteractionCounter",{"@type":104},"ViewAction",{"@type":106,"mainEntity":107},"FAQPage",[108,114,118],{"name":109,"@type":110,"acceptedAnswer":111},"How do incident rays parallel to the optical axis behave after reflecting from a concave mirror?","Question",{"text":112,"@type":113},"Parallel incident rays pass through a point on the optical axis between M and S. After reflection they pass through the focal point F of the concave mirror.","Answer",{"name":115,"@type":110,"acceptedAnswer":116},"What happens to rays striking the vertex S of the concave mirror?",{"text":117,"@type":113},"Vertex rays strike S and reflect so that they make the same angle to the optical axis as they had before striking the mirror.",{"name":119,"@type":110,"acceptedAnswer":120},"How are the radius of curvature r and focal length f determined from the measured distances?",{"text":121,"@type":113},"Measure MS and FS. The distance MS is the radius of curvature r, and FS is the focal length f of the mirror. The setup indicates r = 2f and r is also called the twofold focal length.","https://schema.org",{"og:url":83,"og:type":124,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":126,"canonical":83},"index,follow",{"doc_id":128,"site_id":62},657093,1792973915,{"code":4,"msg":5,"data":131},{"doc_id":128,"user_id":132,"nickname":92,"user_avatar":133,"doc_module":4,"category_id":39,"category_name":40,"doc_title":65,"doc_description":67,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":19,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":14,"language":139,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":67,"update_tm":129,"read_time":24},962090768927,"https://ap-avatar.wpscdn.com/davatar_085a072bc5b1113ac321206ff7593b45","Determine the properties of a concave mirror.While doingso introduce the essential terms and demonstrate thepaths of those light rays which are especially appropriatefor rational image construction.  \nMaterials  \nMagnet optics panel,  \n08270.00  \nLamp,halogen,magnet held,12V/50 W 08270.20  1  \nConcave/convex mirror  \n08270.12  \nVar.transformer  \n13533.93  \nCircular template (see master)or a drawing compassRuler  \n# Water-soluble white board pen\n\n## Apparatus and methods\n\n—Draw the optical axis on the magnet optics panel.  \n—Using the template or a compass draw a circular arcwith a radius r=200 mm on the magnet optics panel.  \n—Place the mirror on the circular arc.  \n—Label the centre of the circle M and the vertex S.  \n—Place the magnet-held lamp with three-slit diaphragmso that the middle light beam travels along the opticalaxis and is reflected back along itself;if necessary,adjust the mirror(Fig.1).  \n—Mark the intersection point F of the reflected beamson the optical axis.  \n—Insert the one-slit diaphragm into the magnet-heldlamp.  \nFig.1  \n\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | PHTKWE   |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 50   |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 40   |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 30   |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  | S   |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 20   |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  | M   |  | F   |  |  |  |  |  |  |  |\n| 10   |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  | 0   |  | 2   | l0   | 3   | l0   | 4   |  | 0   | 5   | l0   | 6   | l0   | 7   | 0   | 8   | l0   |  |  |  |\n\nPHYWE Series of publications·Physics Dem.Exp.·Magnet Board Optics·PHYWE SYSTEME GMBH·37070 Gottingen,Germany  \n—All of the light paths described in the following linesshould best be drawn with different colours and ascompletely as possible.  \n—Allow the light beam to be parallel to the optical axis(Fig.2:1).  \n—Allow the light beam to be incident to the optical axisat an angle (Fig.2:2)so that it strikes the mirror at thevertex.  \n—Allow the light beam to be incident through point F(Fig.2:3).  \n—Allow the light beam to be incident through point M(Fig.2:4).  \n—Remove the magnet-held lamp and the mirror.  \n—Finish drawing the light paths(Fig.2).  \n—Measure the distances MS and FS.  \n## Observations and results\n\nIncident light rays which are parallel to the optical axispass through a point on the optical axis which lies be-tween M and S.  \nRays which strike the vertex are reflected in such a waythat the have the same angle to the optical axis as beforestriking the mirror.  \nRays passing through point F are reflected parallel to theoptical axis.  \nRays passing through point M are reflected back uponthemselves.   \nThe distance MS is(about)twice as large as the distance FS.  \n11013  \n## Evaluation\n\nUsing the terms which are to be introduced(underlined),the following principles are valid for reflection by a con-cave mirror(the numbers in round brackets refer toFig.2):  \nParallel rays(1)  \nbefore reflection they travel parallel to the optical axis andpass through the focal point Fof the concave mirror afterreflection.  \nVertex rays (2)  \nstrike the vertex S of the concave mirror and after reflec-tion have the same angle to the optical axis as beforereflection.  \nFig.2  \n\n|  |","cbCaiupnTF0zaGu2","https://ap.wps.com/l/cbCaiupnTF0zaGu2","pdf",157994,"English","# Apparatus and methods\n## Observations and results\n## Evaluation\n## Remark","[{\"question\":\"How do incident rays parallel to the optical axis behave after reflecting from a concave mirror?\",\"answer\":\"Parallel incident rays pass through a point on the optical axis between M and S. After reflection they pass through the focal point F of the concave mirror.\"},{\"question\":\"What happens to rays striking the vertex S of the concave mirror?\",\"answer\":\"Vertex rays strike S and reflect so that they make the same angle to the optical axis as they had before striking the mirror.\"},{\"question\":\"How are the radius of curvature r and focal length f determined from the measured distances?\",\"answer\":\"Measure MS and FS. The distance MS is the radius of curvature r, and FS is the focal length f of the mirror. The setup indicates r = 2f and r is also called the twofold focal length.\"}]","Properties of a Concave Mirror - Reflection Light Paths | PDF"]