{"id":152629,"date":"2022-03-23T10:04:06","date_gmt":"2022-03-23T04:34:06","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/?p=152629"},"modified":"2024-08-29T18:10:22","modified_gmt":"2024-08-29T12:40:22","slug":"blog-iit-jee-dimensions-of-power-of-lens","status":"publish","type":"post","link":"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-power-of-lens\/","title":{"rendered":"Dimensions of Power of Lens"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_37 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" style=\"display: none;\"><label for=\"item\" aria-label=\"Table of Content\"><span style=\"display: flex;align-items: center;width: 35px;height: 30px;justify-content: center;\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/label><input type=\"checkbox\" id=\"item\"><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1' style='display:block'><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-power-of-lens\/#JEE_Foundation_Class_for_10\" title=\"JEE Foundation Class for 10\">JEE Foundation Class for 10<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-power-of-lens\/#Dimensional_Formula_of_Power_of_Lens\" title=\"Dimensional Formula of Power of Lens\">Dimensional Formula of Power of Lens<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-power-of-lens\/#Derivation\" title=\"Derivation:\">Derivation:<\/a><ul class='ez-toc-list-level-3'><li class='ez-toc-heading-level-3'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-power-of-lens\/#JEE_Foundation_Class_for_9\" title=\"JEE Foundation Class for 9\">JEE Foundation Class for 9<\/a><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-power-of-lens\/#FAQs\" title=\"FAQs\">FAQs<\/a><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><ul class='ez-toc-list-level-5'><li class='ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-power-of-lens\/#What_are_the_dimensions_of_power\" title=\"What are the dimensions of power?\">What are the dimensions of power?<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-5'><a class=\"ez-toc-link ez-toc-heading-7\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-power-of-lens\/#What_is_dimension_of_focal_length\" title=\"What is dimension of focal length?\">What is dimension of focal length?<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/nav><\/div>\n<p>A <a href=\"https:\/\/infinitylearn.com\/surge\/class-10\/physics\/light\/introduction-to-lenses\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\"><strong>lens<\/strong><\/span><\/a> is really a transparent material, usually glass, that is used to focus or disperse a light beam. This makes use of light&#8217;s refraction property. The transition in the path of light observed when it travels from one medium to another is referred to as refraction. The lens directs the light to a single point and creates the image. This is primarily used as a contact lens in our spectacles, magnifying glasses, microscopes, and other similar devices. One of the most fascinating concepts in ray optics is the Power of a Lens. The potential of a lens to bend light is what gives it its power. The bigger the strength of a lens, the better its ability to refract light passing through it. Power describes a convex lens&#8217;s capacity to converge and a concave lens&#8217;s ability to diverge. As the focal length decreases, the number of light bends increases. As an outcome, we can deduce that a lens&#8217;s strength is inversely proportional to its focal length. In essence, a short focal length leads to high optical power.<\/p>\n<p><img loading=\"lazy\" class=\" wp-image-152634 alignnone\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/800px-Plano_focal_alvo_visual_proximo-300x92.png\" alt=\"\" width=\"567\" height=\"174\" srcset=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/800px-Plano_focal_alvo_visual_proximo-300x92.png?v=1647957740 300w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/800px-Plano_focal_alvo_visual_proximo-768x235.png?v=1647957740 768w, https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2022\/03\/800px-Plano_focal_alvo_visual_proximo.png?v=1647957740 800w\" sizes=\"(max-width: 567px) 100vw, 567px\" \/><\/p>\n<p>In Ray Optics, the formula <strong>P = 1\/ F<\/strong> can be used to calculate the power of a lens.<\/p>\n<p>If indeed the focal length is given in meters (m), the power of the lens is measured in Diopters (D), as the lens&#8217;s unit of power is diopter. Some other thing to remember is that the optical power of a converging lens is positive, whereas the optical power of a diverging lens is negative. For instance, if the focal length of a lens is 20 cm, we get 0.2 m when we convert it to meters. Consider taking the reciprocal of 0.2 to get the power of this lens, which is 5. As a result, the power of this lens is 5D.<\/p>\n<p>The focal length of a lens seems to be inversely proportional to its power. As a result, a lens with a short focal length has more power, whereas a lens with a long focal length has less power.<\/p>\n<ul>\n<li>A <span style=\"color: #0000ff;\"><strong>convex lens<\/strong><\/span> (converging lens) has a positive power because its focal length is positive.<\/li>\n<li>A <a href=\"https:\/\/infinitylearn.com\/surge\/class-10\/physics\/light\/concave-lens\/\" target=\"_blank\" rel=\"noopener\"><span style=\"color: #0000ff;\"><strong>concave lens<\/strong><\/span><\/a> (diverging lens) has a negative power because its focal length is negative.<\/li>\n<li>A plane glass plate has a power of 0.<\/li>\n<\/ul>\n<p>Optometry is really a significant application of using lens power. Optometrists recommend corrective lenses (convex or concave) based on deteriorating vision. One&#8217;s eye is essentially a lens, and you may occasionally have difficulty seeing clearly. Wearing corrective lenses with the appropriate power can help to correct this.<\/p>\n<div class=\"card\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-10\"><br \/>\n<noscript><img style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" alt=\"JEE Foundation Class 10 Online Course\" data-eio=\"l\" \/><\/noscript><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-10\"><img loading=\"lazy\" class=\" lazyloaded alignnone\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" alt=\"jee-foundation-course-for-class-10\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" \/><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"JEE_Foundation_Class_for_10\"><\/span>JEE Foundation Class for 10<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: center;\">JEE Foundation Class for 10 enhances critical thinking and problem-solving skills through engaging activities and advanced learning techniques, ensuring academic excellence.<br \/>\n<a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-10\"><button><strong>JEE Foundation Class for 10<\/strong><\/button><\/a><\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"Dimensional_Formula_of_Power_of_Lens\"><\/span><span style=\"color: #0000ff;\"><strong>Dimensional Formula of Power of Lens<\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>The dimensional formula of Power of Lens can be represented as:<\/p>\n<p style=\"text-align: center;\"><strong>[M<sup>0<\/sup> L<sup>-1<\/sup> T<sup>0<\/sup>]<\/strong><\/p>\n<p>Here,<\/p>\n<p>M = Mass<\/p>\n<p>L = Length<\/p>\n<p>T = Time<\/p>\n<h2><span class=\"ez-toc-section\" id=\"Derivation\"><\/span><span style=\"color: #0000ff;\"><strong>Derivation:<\/strong><\/span><span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>We have, Power of Lens (D) = Focal Length<sup>-1 <\/sup>. . . (1)<\/p>\n<p>Now, the dimensional formula of focal length = [M<sup>0 <\/sup>L<sup>1 <\/sup>T<sup>0<\/sup>] . . . . (2)<\/p>\n<p>When substituting equation (2) in equation (1) we get,<\/p>\n<p>Power of Lens = Focal Length<sup>-1<\/sup><\/p>\n<p>That is, D = [M<sup>0 <\/sup>L<sup>1 <\/sup>T<sup>0<\/sup>]<sup>-1 <\/sup>= [M<sup>0<\/sup> L<sup>-1<\/sup> T<sup>0<\/sup>].<\/p>\n<p>Thus, the power of lens has been dimensionally represented as<strong> [M<sup>0<\/sup> L<sup>-1<\/sup> T<sup>0<\/sup>].<\/strong><\/p>\n<div class=\"card\"><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-9\"><br \/>\n<noscript><img style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" alt=\"JEE Foundation Class 9 Online Course\" data-eio=\"l\" \/><\/noscript><\/a><a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-9\"><img loading=\"lazy\" class=\" lazyloaded alignnone\" style=\"width: 100%; border-radius: 10px;\" src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" alt=\"jee-foundation-course-for-class-9\" width=\"1201\" height=\"636\" data-src=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2023\/09\/Screenshot-2024-08-28-114053-e1724825703440.jpg\" \/><\/a><\/p>\n<h3><span class=\"ez-toc-section\" id=\"JEE_Foundation_Class_for_9\"><\/span>JEE Foundation Class for 9<span class=\"ez-toc-section-end\"><\/span><\/h3>\n<p style=\"text-align: center;\">JEE Foundation Class for 9 enhances critical thinking and problem-solving skills through engaging activities and advanced learning techniques, ensuring academic excellence.<br \/>\n<a class=\"btn btn-primary\" href=\"https:\/\/infinitylearn.com\/jee-foundation-course-for-class-9\"><button><strong>JEE Foundation Class for 9<\/strong><\/button><\/a><\/p>\n<\/div>\n<h2><span class=\"ez-toc-section\" id=\"FAQs\"><\/span><strong>FAQs<\/strong><span class=\"ez-toc-section-end\"><\/span><\/h2>\n\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"What_are_the_dimensions_of_power\"><\/span>What are the dimensions of power?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tPower has been defined as energy divided by time and the unit of power in the International System of Units (SI) is the watt (W), which is equal to one joule per second.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\t\t<section class=\"sc_fs_faq sc_card \">\n\t\t\t<div>\n\t\t\t\t<h5><span class=\"ez-toc-section\" id=\"What_is_dimension_of_focal_length\"><\/span>What is dimension of focal length?<span class=\"ez-toc-section-end\"><\/span><\/h5>\t\t\t\t<div>\n\t\t\t\t\t\t\t\t\t\t<p>\n\t\t\t\t\t\tThe focal length of a lens is indeed the distance between the lens and the image sensor when the subject is in focus, and it is usually expressed in millimetres.\t\t\t\t\t<\/p>\n\t\t\t\t<\/div>\n\t\t\t<\/div>\n\t\t<\/section>\n\t\t\n<script type=\"application\/ld+json\">\n\t{\n\t\t\"@context\": \"https:\/\/schema.org\",\n\t\t\"@type\": \"FAQPage\",\n\t\t\"mainEntity\": [\n\t\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What are the dimensions of power?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"Power has been defined as energy divided by time and the unit of power in the International System of Units (SI) is the watt (W), which is equal to one joule per second.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t,\t\t\t\t{\n\t\t\t\t\"@type\": \"Question\",\n\t\t\t\t\"name\": \"What is dimension of focal length?\",\n\t\t\t\t\"acceptedAnswer\": {\n\t\t\t\t\t\"@type\": \"Answer\",\n\t\t\t\t\t\"text\": \"The focal length of a lens is indeed the distance between the lens and the image sensor when the subject is in focus, and it is usually expressed in millimetres.\"\n\t\t\t\t\t\t\t\t\t}\n\t\t\t}\n\t\t\t\t\t\t]\n\t}\n<\/script>\n\n","protected":false},"excerpt":{"rendered":"<p>A lens is really a transparent material, usually glass, that is used to focus or disperse a light beam. This [&hellip;]<\/p>\n","protected":false},"author":7,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"_yoast_wpseo_focuskw":"Power of Lens","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A lens is really a transparent material, usually glass, that is used to focus or disperse a light beam. This makes use of light's refraction property. The transition in the path of light observed when it travels from one medium to another is referred to as refraction.","custom_permalink":"blog\/iit-jee\/dimensions-of-power-of-lens\/"},"categories":[53,57,110],"tags":[],"table_tags":[],"acf":[],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Dimensions of Power of Lens - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A lens is really a transparent material, usually glass, that is used to focus or disperse a light beam. This makes use of light&#039;s refraction property. The transition in the path of light observed when it travels from one medium to another is referred to as refraction.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-power-of-lens\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Dimensions of Power of Lens - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"A lens is really a transparent material, usually glass, that is used to focus or disperse a light beam. This makes use of light&#039;s refraction property. 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This makes use of light's refraction property. The transition in the path of light observed when it travels from one medium to another is referred to as refraction.","robots":{"index":"index","follow":"follow","max-snippet":"max-snippet:-1","max-image-preview":"max-image-preview:large","max-video-preview":"max-video-preview:-1"},"canonical":"https:\/\/infinitylearn.com\/surge\/blog\/iit-jee\/dimensions-of-power-of-lens\/","og_locale":"en_US","og_type":"article","og_title":"Dimensions of Power of Lens - Infinity Learn by Sri Chaitanya","og_description":"A lens is really a transparent material, usually glass, that is used to focus or disperse a light beam. This makes use of light's refraction property. 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This makes use of light's refraction property. 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