{"id":87834,"date":"2025-06-01T06:55:07","date_gmt":"2025-06-01T06:55:07","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87834"},"modified":"2025-06-01T06:55:07","modified_gmt":"2025-06-01T06:55:07","slug":"an-electric-wire-of-resistance-50-ohm-is-cut-into-five-equal-wires-th","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/an-electric-wire-of-resistance-50-ohm-is-cut-into-five-equal-wires-th\/","title":{"rendered":"An electric wire of resistance 50 ohm is cut into five equal wires. Th"},"content":{"rendered":"

An electric wire of resistance 50 ohm is cut into five equal wires. These wires are then connected in parallel. What is the equivalent resistance of this combination?<\/p>\n

[amp_mcq option1=”2 ohm” option2=”10 ohm” option3=”0.5 ohm” option4=”5 ohm” correct=”option1″]<\/p>\n

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This question was previously asked in<\/div>\n
UPSC NDA-1 – 2022<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nWhen a wire of resistance 50 ohm is cut into five equal parts, each part will have one-fifth of the original resistance. Connecting these five equal resistances in parallel results in a combined resistance calculated using the parallel resistance formula.
\n<\/section>\n
\nThe resistance of a uniform wire is directly proportional to its length. So, if the wire is cut into five equal parts, the resistance of each part is R’ = R\/5 = 50 ohm \/ 5 = 10 ohm. When n equal resistors (each of resistance r) are connected in parallel, the equivalent resistance (Req) is given by Req = r\/n. In this case, r = 10 ohm and n = 5. Thus, Req = 10 ohm \/ 5 = 2 ohm.
\n<\/section>\n
\nAlternatively, the formula for resistors in parallel can be used: 1\/Req = 1\/R1 + 1\/R2 + … + 1\/Rn. For five equal resistances of 10 ohm in parallel: 1\/Req = 1\/10 + 1\/10 + 1\/10 + 1\/10 + 1\/10 = 5\/10 = 1\/2. Therefore, Req = 2 ohm. Connecting resistors in parallel decreases the overall resistance.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

An electric wire of resistance 50 ohm is cut into five equal wires. These wires are then connected in parallel. What is the equivalent resistance of this combination? [amp_mcq option1=”2 ohm” option2=”10 ohm” option3=”0.5 ohm” option4=”5 ohm” correct=”option1″] This question was previously asked in UPSC NDA-1 – 2022 Download PDFAttempt Online When a wire of … <\/p>\n

Detailed SolutionAn electric wire of resistance 50 ohm is cut into five equal wires. Th<\/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":[1108,1201,1128],"class_list":["post-87834","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1108","tag-electric-current","tag-physics","no-featured-image-padding"],"yoast_head":"\nAn electric wire of resistance 50 ohm is cut into five equal wires. Th<\/title>\n<meta name=\"description\" content=\"When a wire of resistance 50 ohm is cut into five equal parts, each part will have one-fifth of the original resistance. Connecting these five equal resistances in parallel results in a combined resistance calculated using the parallel resistance formula. The resistance of a uniform wire is directly proportional to its length. So, if the wire is cut into five equal parts, the resistance of each part is R' = R\/5 = 50 ohm \/ 5 = 10 ohm. When n equal resistors (each of resistance r) are connected in parallel, the equivalent resistance (Req) is given by Req = r\/n. In this case, r = 10 ohm and n = 5. Thus, Req = 10 ohm \/ 5 = 2 ohm.\" \/>\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\/an-electric-wire-of-resistance-50-ohm-is-cut-into-five-equal-wires-th\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"An electric wire of resistance 50 ohm is cut into five equal wires. Th\" \/>\n<meta property=\"og:description\" content=\"When a wire of resistance 50 ohm is cut into five equal parts, each part will have one-fifth of the original resistance. Connecting these five equal resistances in parallel results in a combined resistance calculated using the parallel resistance formula. The resistance of a uniform wire is directly proportional to its length. So, if the wire is cut into five equal parts, the resistance of each part is R' = R\/5 = 50 ohm \/ 5 = 10 ohm. When n equal resistors (each of resistance r) are connected in parallel, the equivalent resistance (Req) is given by Req = r\/n. In this case, r = 10 ohm and n = 5. Thus, Req = 10 ohm \/ 5 = 2 ohm.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/an-electric-wire-of-resistance-50-ohm-is-cut-into-five-equal-wires-th\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T06:55:07+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":"An electric wire of resistance 50 ohm is cut into five equal wires. Th","description":"When a wire of resistance 50 ohm is cut into five equal parts, each part will have one-fifth of the original resistance. Connecting these five equal resistances in parallel results in a combined resistance calculated using the parallel resistance formula. The resistance of a uniform wire is directly proportional to its length. So, if the wire is cut into five equal parts, the resistance of each part is R' = R\/5 = 50 ohm \/ 5 = 10 ohm. When n equal resistors (each of resistance r) are connected in parallel, the equivalent resistance (Req) is given by Req = r\/n. In this case, r = 10 ohm and n = 5. Thus, Req = 10 ohm \/ 5 = 2 ohm.","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\/an-electric-wire-of-resistance-50-ohm-is-cut-into-five-equal-wires-th\/","og_locale":"en_US","og_type":"article","og_title":"An electric wire of resistance 50 ohm is cut into five equal wires. Th","og_description":"When a wire of resistance 50 ohm is cut into five equal parts, each part will have one-fifth of the original resistance. Connecting these five equal resistances in parallel results in a combined resistance calculated using the parallel resistance formula. The resistance of a uniform wire is directly proportional to its length. So, if the wire is cut into five equal parts, the resistance of each part is R' = R\/5 = 50 ohm \/ 5 = 10 ohm. When n equal resistors (each of resistance r) are connected in parallel, the equivalent resistance (Req) is given by Req = r\/n. In this case, r = 10 ohm and n = 5. Thus, Req = 10 ohm \/ 5 = 2 ohm.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/an-electric-wire-of-resistance-50-ohm-is-cut-into-five-equal-wires-th\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T06:55:07+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\/an-electric-wire-of-resistance-50-ohm-is-cut-into-five-equal-wires-th\/","url":"https:\/\/exam.pscnotes.com\/mcq\/an-electric-wire-of-resistance-50-ohm-is-cut-into-five-equal-wires-th\/","name":"An electric wire of resistance 50 ohm is cut into five equal wires. Th","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T06:55:07+00:00","dateModified":"2025-06-01T06:55:07+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"When a wire of resistance 50 ohm is cut into five equal parts, each part will have one-fifth of the original resistance. Connecting these five equal resistances in parallel results in a combined resistance calculated using the parallel resistance formula. The resistance of a uniform wire is directly proportional to its length. So, if the wire is cut into five equal parts, the resistance of each part is R' = R\/5 = 50 ohm \/ 5 = 10 ohm. When n equal resistors (each of resistance r) are connected in parallel, the equivalent resistance (Req) is given by Req = r\/n. In this case, r = 10 ohm and n = 5. Thus, Req = 10 ohm \/ 5 = 2 ohm.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/an-electric-wire-of-resistance-50-ohm-is-cut-into-five-equal-wires-th\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/an-electric-wire-of-resistance-50-ohm-is-cut-into-five-equal-wires-th\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/an-electric-wire-of-resistance-50-ohm-is-cut-into-five-equal-wires-th\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC NDA-1","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-nda-1\/"},{"@type":"ListItem","position":3,"name":"An electric wire of resistance 50 ohm is cut into five equal wires. 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