{"id":55880,"date":"2024-04-16T00:35:00","date_gmt":"2024-04-16T00:35:00","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=55880"},"modified":"2024-04-16T00:35:00","modified_gmt":"2024-04-16T00:35:00","slug":"copper-wire-of-certain-length-and-resistance-is-drawn-out-to-three-times-its-length-without-change-in-volume-the-new-resistance-of-wire-becomes","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/copper-wire-of-certain-length-and-resistance-is-drawn-out-to-three-times-its-length-without-change-in-volume-the-new-resistance-of-wire-becomes\/","title":{"rendered":"Copper wire of certain length and resistance is drawn out to three times its length without change in volume, the new resistance of wire becomes"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{1}{9}$$ times&#8221; option2=&#8221;3 times&#8221; option3=&#8221;9 times&#8221; option4=&#8221;Unchanged&#8221; correct=&#8221;option1&#8243;]<!--more--><\/p>\n<p>The correct answer is: A. $\\frac{1}{9}$ times.<\/p>\n<p>The resistance of a wire is proportional to its length and inversely proportional to its cross-sectional area. When the wire is drawn out to three times its length, its cross-sectional area is reduced to one-third of its original value. This is because the volume of the wire is unchanged, so the length and cross-sectional area must be in the ratio of 3:1.<\/p>\n<p>The resistance of the wire is therefore reduced to $\\frac{1}{3}$ times its original value, or $\\frac{1}{9}$ times the resistance of the wire if it were not drawn out.<\/p>\n<p>Here is a more detailed explanation of each option:<\/p>\n<ul>\n<li>Option A: $\\frac{1}{9}$ times. This is the correct answer. As explained above, the resistance of the wire is reduced to $\\frac{1}{3}$ times its original value, or $\\frac{1}{9}$ times the resistance of the wire if it were not drawn out.<\/li>\n<li>Option B: 3 times. This is incorrect. The resistance of the wire is not increased by drawing it out. In fact, it is reduced.<\/li>\n<li>Option C: 9 times. This is also incorrect. The resistance of the wire is not increased by drawing it out. In fact, it is reduced.<\/li>\n<li>Option D: Unchanged. This is incorrect. The resistance of the wire is not unchanged by drawing it out. It is reduced.<\/li>\n<\/ul>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;$$\\frac{1}{9}$$ times&#8221; option2=&#8221;3 times&#8221; option3=&#8221;9 times&#8221; option4=&#8221;Unchanged&#8221; correct=&#8221;option1&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[948],"tags":[],"class_list":["post-55880","post","type-post","status-publish","format-standard","hentry","category-current-electricity","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>Copper wire of certain length and resistance is drawn out to three times its length without change in volume, the new resistance of wire becomes<\/title>\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\/copper-wire-of-certain-length-and-resistance-is-drawn-out-to-three-times-its-length-without-change-in-volume-the-new-resistance-of-wire-becomes\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Copper wire of certain length and resistance is drawn out to three times its length without change in volume, the new resistance of wire becomes\" \/>\n<meta property=\"og:description\" content=\"[amp_mcq option1=&#8221;$$frac{1}{9}$$ times&#8221; 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