{"id":86811,"date":"2025-06-01T04:21:13","date_gmt":"2025-06-01T04:21:13","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=86811"},"modified":"2025-06-01T04:21:13","modified_gmt":"2025-06-01T04:21:13","slug":"consider-a-copper-wire-of-length-1m-and-area-of-cross-section-1mm%c2%b2-gi","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/consider-a-copper-wire-of-length-1m-and-area-of-cross-section-1mm%c2%b2-gi\/","title":{"rendered":"Consider a copper wire of length 1m and area of cross-section 1mm\u00b2. Gi"},"content":{"rendered":"

Consider a copper wire of length 1m and area of cross-section 1mm\u00b2. Given the resistivity of the copper is 1.7 \u00d7 10\u207b\u2076 \u03a9 cm. What is the resistance of this wire?<\/p>\n

[amp_mcq option1=”17 milli-ohm” option2=”1.7 milli-ohm” option3=”0.17 milli-ohm” option4=”0.17 ohm” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC Geoscientist – 2021<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe resistance 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.
\nGiven:
\n\u03c1 = 1.7 \u00d7 10\u207b\u2076 \u03a9 cm
\nL = 1 m = 100 cm
\nA = 1 mm\u00b2 = (0.1 cm)\u00b2 = 0.01 cm\u00b2
\nR = (1.7 \u00d7 10\u207b\u2076 \u03a9 cm) * (100 cm \/ 0.01 cm\u00b2)
\nR = (1.7 \u00d7 10\u207b\u2076) * (100 \/ 10\u207b\u00b2) \u03a9
\nR = (1.7 \u00d7 10\u207b\u2076) * (10\u2074) \u03a9
\nR = 1.7 \u00d7 10\u207b\u00b2 \u03a9
\nTo convert Ohms to milli-Ohms, multiply by 1000:
\nR = 1.7 \u00d7 10\u207b\u00b2 \u03a9 * 1000 milli-ohm\/\u03a9
\nR = 1.7 \u00d7 10\u00b9 milli-ohm
\nR = 17 milli-ohm
\n<\/section>\n
\nResistance depends on the material’s resistivity and the dimensions (length and cross-sectional area) of the conductor. Ensure all units are consistent (e.g., meters and m\u00b2, or centimeters and cm\u00b2) before calculation.
\n<\/section>\n
\nResistivity is an intrinsic property of the material, while resistance is a property of a specific object made of that material with given dimensions.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Consider a copper wire of length 1m and area of cross-section 1mm\u00b2. Given the resistivity of the copper is 1.7 \u00d7 10\u207b\u2076 \u03a9 cm. What is the resistance of this wire? [amp_mcq option1=”17 milli-ohm” option2=”1.7 milli-ohm” option3=”0.17 milli-ohm” option4=”0.17 ohm” correct=”option1″] This question was previously asked in UPSC Geoscientist – 2021 Download PDFAttempt Online The … <\/p>\n

Detailed SolutionConsider a copper wire of length 1m and area of cross-section 1mm\u00b2. Gi<\/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":[1091],"tags":[1110,1201,1128],"class_list":["post-86811","post","type-post","status-publish","format-standard","hentry","category-upsc-geoscientist","tag-1110","tag-electric-current","tag-physics","no-featured-image-padding"],"yoast_head":"\nConsider a copper wire of length 1m and area of cross-section 1mm\u00b2. Gi<\/title>\n<meta name=\"description\" content=\"The resistance 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. Given: \u03c1 = 1.7 \u00d7 10\u207b\u2076 \u03a9 cm L = 1 m = 100 cm A = 1 mm\u00b2 = (0.1 cm)\u00b2 = 0.01 cm\u00b2 R = (1.7 \u00d7 10\u207b\u2076 \u03a9 cm) * (100 cm \/ 0.01 cm\u00b2) R = (1.7 \u00d7 10\u207b\u2076) * (100 \/ 10\u207b\u00b2) \u03a9 R = (1.7 \u00d7 10\u207b\u2076) * (10\u2074) \u03a9 R = 1.7 \u00d7 10\u207b\u00b2 \u03a9 To convert Ohms to milli-Ohms, multiply by 1000: R = 1.7 \u00d7 10\u207b\u00b2 \u03a9 * 1000 milli-ohm\/\u03a9 R = 1.7 \u00d7 10\u00b9 milli-ohm R = 17 milli-ohm Resistance depends on the material's resistivity and the dimensions (length and cross-sectional area) of the conductor. Ensure all units are consistent (e.g., meters and m\u00b2, or centimeters and cm\u00b2) before calculation.\" \/>\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\/consider-a-copper-wire-of-length-1m-and-area-of-cross-section-1mm\u00b2-gi\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Consider a copper wire of length 1m and area of cross-section 1mm\u00b2. Gi\" \/>\n<meta property=\"og:description\" content=\"The resistance 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. Given: \u03c1 = 1.7 \u00d7 10\u207b\u2076 \u03a9 cm L = 1 m = 100 cm A = 1 mm\u00b2 = (0.1 cm)\u00b2 = 0.01 cm\u00b2 R = (1.7 \u00d7 10\u207b\u2076 \u03a9 cm) * (100 cm \/ 0.01 cm\u00b2) R = (1.7 \u00d7 10\u207b\u2076) * (100 \/ 10\u207b\u00b2) \u03a9 R = (1.7 \u00d7 10\u207b\u2076) * (10\u2074) \u03a9 R = 1.7 \u00d7 10\u207b\u00b2 \u03a9 To convert Ohms to milli-Ohms, multiply by 1000: R = 1.7 \u00d7 10\u207b\u00b2 \u03a9 * 1000 milli-ohm\/\u03a9 R = 1.7 \u00d7 10\u00b9 milli-ohm R = 17 milli-ohm Resistance depends on the material's resistivity and the dimensions (length and cross-sectional area) of the conductor. Ensure all units are consistent (e.g., meters and m\u00b2, or centimeters and cm\u00b2) before calculation.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/consider-a-copper-wire-of-length-1m-and-area-of-cross-section-1mm\u00b2-gi\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T04:21:13+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":"Consider a copper wire of length 1m and area of cross-section 1mm\u00b2. Gi","description":"The resistance 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. Given: \u03c1 = 1.7 \u00d7 10\u207b\u2076 \u03a9 cm L = 1 m = 100 cm A = 1 mm\u00b2 = (0.1 cm)\u00b2 = 0.01 cm\u00b2 R = (1.7 \u00d7 10\u207b\u2076 \u03a9 cm) * (100 cm \/ 0.01 cm\u00b2) R = (1.7 \u00d7 10\u207b\u2076) * (100 \/ 10\u207b\u00b2) \u03a9 R = (1.7 \u00d7 10\u207b\u2076) * (10\u2074) \u03a9 R = 1.7 \u00d7 10\u207b\u00b2 \u03a9 To convert Ohms to milli-Ohms, multiply by 1000: R = 1.7 \u00d7 10\u207b\u00b2 \u03a9 * 1000 milli-ohm\/\u03a9 R = 1.7 \u00d7 10\u00b9 milli-ohm R = 17 milli-ohm Resistance depends on the material's resistivity and the dimensions (length and cross-sectional area) of the conductor. Ensure all units are consistent (e.g., meters and m\u00b2, or centimeters and cm\u00b2) before calculation.","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\/consider-a-copper-wire-of-length-1m-and-area-of-cross-section-1mm\u00b2-gi\/","og_locale":"en_US","og_type":"article","og_title":"Consider a copper wire of length 1m and area of cross-section 1mm\u00b2. Gi","og_description":"The resistance 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. Given: \u03c1 = 1.7 \u00d7 10\u207b\u2076 \u03a9 cm L = 1 m = 100 cm A = 1 mm\u00b2 = (0.1 cm)\u00b2 = 0.01 cm\u00b2 R = (1.7 \u00d7 10\u207b\u2076 \u03a9 cm) * (100 cm \/ 0.01 cm\u00b2) R = (1.7 \u00d7 10\u207b\u2076) * (100 \/ 10\u207b\u00b2) \u03a9 R = (1.7 \u00d7 10\u207b\u2076) * (10\u2074) \u03a9 R = 1.7 \u00d7 10\u207b\u00b2 \u03a9 To convert Ohms to milli-Ohms, multiply by 1000: R = 1.7 \u00d7 10\u207b\u00b2 \u03a9 * 1000 milli-ohm\/\u03a9 R = 1.7 \u00d7 10\u00b9 milli-ohm R = 17 milli-ohm Resistance depends on the material's resistivity and the dimensions (length and cross-sectional area) of the conductor. Ensure all units are consistent (e.g., meters and m\u00b2, or centimeters and cm\u00b2) before calculation.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/consider-a-copper-wire-of-length-1m-and-area-of-cross-section-1mm\u00b2-gi\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T04:21:13+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\/consider-a-copper-wire-of-length-1m-and-area-of-cross-section-1mm%c2%b2-gi\/","url":"https:\/\/exam.pscnotes.com\/mcq\/consider-a-copper-wire-of-length-1m-and-area-of-cross-section-1mm%c2%b2-gi\/","name":"Consider a copper wire of length 1m and area of cross-section 1mm\u00b2. Gi","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T04:21:13+00:00","dateModified":"2025-06-01T04:21:13+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The resistance 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. Given: \u03c1 = 1.7 \u00d7 10\u207b\u2076 \u03a9 cm L = 1 m = 100 cm A = 1 mm\u00b2 = (0.1 cm)\u00b2 = 0.01 cm\u00b2 R = (1.7 \u00d7 10\u207b\u2076 \u03a9 cm) * (100 cm \/ 0.01 cm\u00b2) R = (1.7 \u00d7 10\u207b\u2076) * (100 \/ 10\u207b\u00b2) \u03a9 R = (1.7 \u00d7 10\u207b\u2076) * (10\u2074) \u03a9 R = 1.7 \u00d7 10\u207b\u00b2 \u03a9 To convert Ohms to milli-Ohms, multiply by 1000: R = 1.7 \u00d7 10\u207b\u00b2 \u03a9 * 1000 milli-ohm\/\u03a9 R = 1.7 \u00d7 10\u00b9 milli-ohm R = 17 milli-ohm Resistance depends on the material's resistivity and the dimensions (length and cross-sectional area) of the conductor. Ensure all units are consistent (e.g., meters and m\u00b2, or centimeters and cm\u00b2) before calculation.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/consider-a-copper-wire-of-length-1m-and-area-of-cross-section-1mm%c2%b2-gi\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/consider-a-copper-wire-of-length-1m-and-area-of-cross-section-1mm%c2%b2-gi\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/consider-a-copper-wire-of-length-1m-and-area-of-cross-section-1mm%c2%b2-gi\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC Geoscientist","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-geoscientist\/"},{"@type":"ListItem","position":3,"name":"Consider a copper wire of length 1m and area of cross-section 1mm\u00b2. Gi"}]},{"@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\/86811","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=86811"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/86811\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=86811"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=86811"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=86811"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}