{"id":85194,"date":"2025-06-01T03:07:25","date_gmt":"2025-06-01T03:07:25","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=85194"},"modified":"2025-06-01T03:07:25","modified_gmt":"2025-06-01T03:07:25","slug":"we-are-given-three-copper-wires-of-different-lengths-and-different-are","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/we-are-given-three-copper-wires-of-different-lengths-and-different-are\/","title":{"rendered":"We are given three copper wires of different lengths and different are"},"content":{"rendered":"<p>We are given three copper wires of different lengths and different areas of cross-section. Which one of the following would have highest resistivity ?<\/p>\n<p>[amp_mcq option1=&#8221;Copper wire of 50 cm length and 1 mm diameter&#8221; option2=&#8221;Copper wire of 25 cm length and 0.5 mm diameter&#8221; option3=&#8221;Copper wire of 10 cm length and 2.0 mm diameter&#8221; option4=&#8221;All the wires would have same resistivity&#8221; correct=&#8221;option4&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC CDS-1 &#8211; 2021<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-cds-1-2021.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-cds-1-2021\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nResistivity is a fundamental property of a material that describes its resistance to electrical conduction. It depends only on the nature of the material and its temperature, not on its dimensions (length or area of cross-section).<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\n&#8211; The resistance (R) of a wire is given by the formula R = \u03c1 * (L\/A), where \u03c1 is the resistivity, L is the length, and A is the area of cross-section.<br \/>\n&#8211; While the resistance (R) of the copper wires will be different because they have different lengths and diameters, their resistivity (\u03c1) will be the same because they are all made of the same material (copper) and are presumably at the same temperature.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\n&#8211; Resistance is an extrinsic property that depends on both the material&#8217;s resistivity and its physical dimensions.<br \/>\n&#8211; Resistivity is an intrinsic property specific to the material itself.<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>We are given three copper wires of different lengths and different areas of cross-section. Which one of the following would have highest resistivity ? [amp_mcq option1=&#8221;Copper wire of 50 cm length and 1 mm diameter&#8221; option2=&#8221;Copper wire of 25 cm length and 0.5 mm diameter&#8221; option3=&#8221;Copper wire of 10 cm length and 2.0 mm diameter&#8221; &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"We are given three copper wires of different lengths and different are\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/we-are-given-three-copper-wires-of-different-lengths-and-different-are\/#more-85194\">Detailed Solution<span class=\"screen-reader-text\">We are given three copper wires of different lengths and different are<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1087],"tags":[1110,1200,1128],"class_list":["post-85194","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-1","tag-1110","tag-conductivity","tag-physics","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>We are given three copper wires of different lengths and different are<\/title>\n<meta name=\"description\" content=\"Resistivity is a fundamental property of a material that describes its resistance to electrical conduction. It depends only on the nature of the material and its temperature, not on its dimensions (length or area of cross-section). - The resistance (R) of a wire is given by the formula R = \u03c1 * (L\/A), where \u03c1 is the resistivity, L is the length, and A is the area of cross-section. - While the resistance (R) of the copper wires will be different because they have different lengths and diameters, their resistivity (\u03c1) will be the same because they are all made of the same material (copper) and are presumably at the same temperature.\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/exam.pscnotes.com\/mcq\/we-are-given-three-copper-wires-of-different-lengths-and-different-are\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"We are given three copper wires of different lengths and different are\" \/>\n<meta property=\"og:description\" content=\"Resistivity is a fundamental property of a material that describes its resistance to electrical conduction. It depends only on the nature of the material and its temperature, not on its dimensions (length or area of cross-section). - The resistance (R) of a wire is given by the formula R = \u03c1 * (L\/A), where \u03c1 is the resistivity, L is the length, and A is the area of cross-section. - While the resistance (R) of the copper wires will be different because they have different lengths and diameters, their resistivity (\u03c1) will be the same because they are all made of the same material (copper) and are presumably at the same temperature.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/we-are-given-three-copper-wires-of-different-lengths-and-different-are\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T03:07:25+00:00\" \/>\n<meta name=\"author\" content=\"rawan239\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:label1\" content=\"Written by\" \/>\n\t<meta name=\"twitter:data1\" content=\"rawan239\" \/>\n\t<meta name=\"twitter:label2\" content=\"Est. reading time\" \/>\n\t<meta name=\"twitter:data2\" content=\"1 minute\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"We are given three copper wires of different lengths and different are","description":"Resistivity is a fundamental property of a material that describes its resistance to electrical conduction. It depends only on the nature of the material and its temperature, not on its dimensions (length or area of cross-section). - The resistance (R) of a wire is given by the formula R = \u03c1 * (L\/A), where \u03c1 is the resistivity, L is the length, and A is the area of cross-section. - While the resistance (R) of the copper wires will be different because they have different lengths and diameters, their resistivity (\u03c1) will be the same because they are all made of the same material (copper) and are presumably at the same temperature.","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:\/\/exam.pscnotes.com\/mcq\/we-are-given-three-copper-wires-of-different-lengths-and-different-are\/","og_locale":"en_US","og_type":"article","og_title":"We are given three copper wires of different lengths and different are","og_description":"Resistivity is a fundamental property of a material that describes its resistance to electrical conduction. It depends only on the nature of the material and its temperature, not on its dimensions (length or area of cross-section). - The resistance (R) of a wire is given by the formula R = \u03c1 * (L\/A), where \u03c1 is the resistivity, L is the length, and A is the area of cross-section. - While the resistance (R) of the copper wires will be different because they have different lengths and diameters, their resistivity (\u03c1) will be the same because they are all made of the same material (copper) and are presumably at the same temperature.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/we-are-given-three-copper-wires-of-different-lengths-and-different-are\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T03:07:25+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"1 minute"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/we-are-given-three-copper-wires-of-different-lengths-and-different-are\/","url":"https:\/\/exam.pscnotes.com\/mcq\/we-are-given-three-copper-wires-of-different-lengths-and-different-are\/","name":"We are given three copper wires of different lengths and different are","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T03:07:25+00:00","dateModified":"2025-06-01T03:07:25+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Resistivity is a fundamental property of a material that describes its resistance to electrical conduction. It depends only on the nature of the material and its temperature, not on its dimensions (length or area of cross-section). - The resistance (R) of a wire is given by the formula R = \u03c1 * (L\/A), where \u03c1 is the resistivity, L is the length, and A is the area of cross-section. - While the resistance (R) of the copper wires will be different because they have different lengths and diameters, their resistivity (\u03c1) will be the same because they are all made of the same material (copper) and are presumably at the same temperature.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/we-are-given-three-copper-wires-of-different-lengths-and-different-are\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/we-are-given-three-copper-wires-of-different-lengths-and-different-are\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/we-are-given-three-copper-wires-of-different-lengths-and-different-are\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CDS-1","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cds-1\/"},{"@type":"ListItem","position":3,"name":"We are given three copper wires of different lengths and different are"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/85194","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=85194"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/85194\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=85194"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=85194"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=85194"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}