{"id":85701,"date":"2025-06-01T03:25:06","date_gmt":"2025-06-01T03:25:06","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=85701"},"modified":"2025-06-01T03:25:06","modified_gmt":"2025-06-01T03:25:06","slug":"two-wires-are-made-having-same-length-l-and-area-of-cross-section-a-w","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/two-wires-are-made-having-same-length-l-and-area-of-cross-section-a-w\/","title":{"rendered":"Two wires are made having same length l and area of cross-section A. W"},"content":{"rendered":"

Two wires are made having same length l and area of cross-section A. Wire 1 is made of copper and wire 2 is made of aluminium. It is given that the electrical conductivity of copper is more than that of aluminium. In this context, which one of the following statements is correct?<\/p>\n

[amp_mcq option1=”The resistance of wire 1 will be higher than that of wire 2.” option2=”The resistance of wire 2 will be higher than that of wire 1.” option3=”The resistance of both the wires will be the same.” option4=”If same current is flown through both the wires, the power dissipated in both the wires will be the same.” correct=”option2″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CDS-2 – 2017<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe resistance of wire 2 will be higher than that of wire 1.
\n<\/section>\n
\nThe resistance (R) of a wire is inversely proportional to its electrical conductivity (\u03c3) for a given length (l) and area of cross-section (A). The formula is R = (1\/\u03c3) * (l\/A). Since both wires have the same length and area of cross-section, their resistances are directly proportional to their resistivities (\u03c1 = 1\/\u03c3). We are given that the electrical conductivity of copper (wire 1) is more than that of aluminium (wire 2), i.e., \u03c3_Cu > \u03c3_Al. This implies that the resistivity of copper is less than that of aluminium (\u03c1_Cu < \u03c1_Al).\n<\/section>\n
\nSince R = \u03c1 * (l\/A) and l and A are the same for both wires, R is proportional to \u03c1. As \u03c1_Cu < \u03c1_Al, it follows that R_1 (copper) < R_2 (aluminium). Therefore, the resistance of wire 2 (aluminium) is higher than that of wire 1 (copper). Power dissipated is given by P = I\u00b2R or P = V\u00b2\/R. If the same current flows, power dissipated is proportional to resistance. If the same voltage is applied, power dissipated is inversely proportional to resistance.\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Two wires are made having same length l and area of cross-section A. Wire 1 is made of copper and wire 2 is made of aluminium. It is given that the electrical conductivity of copper is more than that of aluminium. In this context, which one of the following statements is correct? [amp_mcq option1=”The resistance … <\/p>\n

Detailed SolutionTwo wires are made having same length l and area of cross-section A. W<\/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":[1088],"tags":[1101,1200,1128],"class_list":["post-85701","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-2","tag-1101","tag-conductivity","tag-physics","no-featured-image-padding"],"yoast_head":"\nTwo wires are made having same length l and area of cross-section A. W<\/title>\n<meta name=\"description\" content=\"The resistance of wire 2 will be higher than that of wire 1. The resistance (R) of a wire is inversely proportional to its electrical conductivity (\u03c3) for a given length (l) and area of cross-section (A). The formula is R = (1\/\u03c3) * (l\/A). Since both wires have the same length and area of cross-section, their resistances are directly proportional to their resistivities (\u03c1 = 1\/\u03c3). We are given that the electrical conductivity of copper (wire 1) is more than that of aluminium (wire 2), i.e., \u03c3_Cu > \u03c3_Al. This implies that the resistivity of copper is less than that of aluminium (\u03c1_Cu < \u03c1_Al).\" \/>\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\/two-wires-are-made-having-same-length-l-and-area-of-cross-section-a-w\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Two wires are made having same length l and area of cross-section A. W\" \/>\n<meta property=\"og:description\" content=\"The resistance of wire 2 will be higher than that of wire 1. The resistance (R) of a wire is inversely proportional to its electrical conductivity (\u03c3) for a given length (l) and area of cross-section (A). The formula is R = (1\/\u03c3) * (l\/A). Since both wires have the same length and area of cross-section, their resistances are directly proportional to their resistivities (\u03c1 = 1\/\u03c3). We are given that the electrical conductivity of copper (wire 1) is more than that of aluminium (wire 2), i.e., \u03c3_Cu > \u03c3_Al. This implies that the resistivity of copper is less than that of aluminium (\u03c1_Cu < \u03c1_Al).\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/two-wires-are-made-having-same-length-l-and-area-of-cross-section-a-w\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T03:25:06+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":"Two wires are made having same length l and area of cross-section A. W","description":"The resistance of wire 2 will be higher than that of wire 1. The resistance (R) of a wire is inversely proportional to its electrical conductivity (\u03c3) for a given length (l) and area of cross-section (A). The formula is R = (1\/\u03c3) * (l\/A). Since both wires have the same length and area of cross-section, their resistances are directly proportional to their resistivities (\u03c1 = 1\/\u03c3). We are given that the electrical conductivity of copper (wire 1) is more than that of aluminium (wire 2), i.e., \u03c3_Cu > \u03c3_Al. This implies that the resistivity of copper is less than that of aluminium (\u03c1_Cu < \u03c1_Al).","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\/two-wires-are-made-having-same-length-l-and-area-of-cross-section-a-w\/","og_locale":"en_US","og_type":"article","og_title":"Two wires are made having same length l and area of cross-section A. W","og_description":"The resistance of wire 2 will be higher than that of wire 1. The resistance (R) of a wire is inversely proportional to its electrical conductivity (\u03c3) for a given length (l) and area of cross-section (A). The formula is R = (1\/\u03c3) * (l\/A). Since both wires have the same length and area of cross-section, their resistances are directly proportional to their resistivities (\u03c1 = 1\/\u03c3). We are given that the electrical conductivity of copper (wire 1) is more than that of aluminium (wire 2), i.e., \u03c3_Cu > \u03c3_Al. This implies that the resistivity of copper is less than that of aluminium (\u03c1_Cu < \u03c1_Al).","og_url":"https:\/\/exam.pscnotes.com\/mcq\/two-wires-are-made-having-same-length-l-and-area-of-cross-section-a-w\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T03:25:06+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\/two-wires-are-made-having-same-length-l-and-area-of-cross-section-a-w\/","url":"https:\/\/exam.pscnotes.com\/mcq\/two-wires-are-made-having-same-length-l-and-area-of-cross-section-a-w\/","name":"Two wires are made having same length l and area of cross-section A. W","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T03:25:06+00:00","dateModified":"2025-06-01T03:25:06+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The resistance of wire 2 will be higher than that of wire 1. The resistance (R) of a wire is inversely proportional to its electrical conductivity (\u03c3) for a given length (l) and area of cross-section (A). The formula is R = (1\/\u03c3) * (l\/A). Since both wires have the same length and area of cross-section, their resistances are directly proportional to their resistivities (\u03c1 = 1\/\u03c3). We are given that the electrical conductivity of copper (wire 1) is more than that of aluminium (wire 2), i.e., \u03c3_Cu > \u03c3_Al. This implies that the resistivity of copper is less than that of aluminium (\u03c1_Cu < \u03c1_Al).","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/two-wires-are-made-having-same-length-l-and-area-of-cross-section-a-w\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/two-wires-are-made-having-same-length-l-and-area-of-cross-section-a-w\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/two-wires-are-made-having-same-length-l-and-area-of-cross-section-a-w\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CDS-2","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-cds-2\/"},{"@type":"ListItem","position":3,"name":"Two wires are made having same length l and area of cross-section A. 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