{"id":87290,"date":"2025-06-01T06:39:30","date_gmt":"2025-06-01T06:39:30","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87290"},"modified":"2025-06-01T06:39:30","modified_gmt":"2025-06-01T06:39:30","slug":"the-product-of-conductivity-and-resistivity-of-a-conductor","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-product-of-conductivity-and-resistivity-of-a-conductor\/","title":{"rendered":"The product of conductivity and resistivity of a conductor"},"content":{"rendered":"

The product of conductivity and resistivity of a conductor<\/p>\n

[amp_mcq option1=”depends on pressure applied” option2=”depends on current flowing through conductor” option3=”is the same for all conductors” option4=”varies from conductor to conductor” correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-1 – 2015<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nResistivity ($\\rho$) and conductivity ($\\sigma$) are inverse properties of a material concerning its ability to conduct electricity.
\n<\/section>\n
\nBy definition, conductivity is the reciprocal of resistivity ($\\sigma = 1\/\\rho$). Therefore, the product of conductivity and resistivity is always equal to 1 ($\\sigma \\times \\rho = (1\/\\rho) \\times \\rho = 1$). This relationship holds true for all materials, regardless of whether they are conductors, insulators, or semiconductors, and it is independent of the physical conditions like pressure or the current flowing through the conductor (assuming the material obeys Ohm’s Law).
\n<\/section>\n
\nResistivity is a fundamental property of the material itself, like density or melting point. Conductivity is simply another way of expressing this property. Their product being 1 is a mathematical consequence of their definition relative to each other.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The product of conductivity and resistivity of a conductor [amp_mcq option1=”depends on pressure applied” option2=”depends on current flowing through conductor” option3=”is the same for all conductors” option4=”varies from conductor to conductor” correct=”option3″] This question was previously asked in UPSC NDA-1 – 2015 Download PDFAttempt Online Resistivity ($\\rho$) and conductivity ($\\sigma$) are inverse properties of a … <\/p>\n

Detailed SolutionThe product of conductivity and resistivity of a conductor<\/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":[1093],"tags":[1443,1200,1128],"class_list":["post-87290","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1443","tag-conductivity","tag-physics","no-featured-image-padding"],"yoast_head":"\nThe product of conductivity and resistivity of a conductor<\/title>\n<meta name=\"description\" content=\"Resistivity ($rho$) and conductivity ($sigma$) are inverse properties of a material concerning its ability to conduct electricity. By definition, conductivity is the reciprocal of resistivity ($sigma = 1\/rho$). Therefore, the product of conductivity and resistivity is always equal to 1 ($sigma times rho = (1\/rho) times rho = 1$). This relationship holds true for all materials, regardless of whether they are conductors, insulators, or semiconductors, and it is independent of the physical conditions like pressure or the current flowing through the conductor (assuming the material obeys Ohm's Law).\" \/>\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\/the-product-of-conductivity-and-resistivity-of-a-conductor\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The product of conductivity and resistivity of a conductor\" \/>\n<meta property=\"og:description\" content=\"Resistivity ($rho$) and conductivity ($sigma$) are inverse properties of a material concerning its ability to conduct electricity. By definition, conductivity is the reciprocal of resistivity ($sigma = 1\/rho$). Therefore, the product of conductivity and resistivity is always equal to 1 ($sigma times rho = (1\/rho) times rho = 1$). This relationship holds true for all materials, regardless of whether they are conductors, insulators, or semiconductors, and it is independent of the physical conditions like pressure or the current flowing through the conductor (assuming the material obeys Ohm's Law).\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-product-of-conductivity-and-resistivity-of-a-conductor\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T06:39:30+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":"The product of conductivity and resistivity of a conductor","description":"Resistivity ($rho$) and conductivity ($sigma$) are inverse properties of a material concerning its ability to conduct electricity. 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