{"id":343808,"date":"2023-01-06T13:37:25","date_gmt":"2023-01-06T08:07:25","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/the-least-resistance-obtained-by-using-2-%cf%89-4-%cf%89-1-%cf%89-and-100-%cf%89-is\/"},"modified":"2025-06-26T17:59:39","modified_gmt":"2025-06-26T12:29:39","slug":"the-least-resistance-obtained-by-using-2-%cf%89-4-%cf%89-1-%cf%89-and-100-%cf%89-is","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-least-resistance-obtained-by-using-241-and-100\/","title":{"rendered":"The least resistance obtained by using 2\u00a0\u03a9,\u00a04\u00a0\u03a9,\u00a01\u00a0\u03a9 and 100\u00a0\u03a9 is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"The least resistance obtained by using 2\u00a0\u03a9,\u00a04\u00a0\u03a9,\u00a01\u00a0\u03a9 and 100\u00a0\u03a9 is","custom_permalink":"question\/physics\/the-least-resistance-obtained-by-using-241-and-100\/"},"categories":[],"acf":{"question":"<p style=\"margin-top:0pt; margin-bottom:0pt; line-height:115%; font-size:12pt\"><span>The least resistance obtained by using <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>2<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><mo>,<\/mo><mi>&nbsp;<\/mi><mn>4<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><mo>,<\/mo><mi>&nbsp;<\/mi><mn>1<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><\/math><span> and <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>100<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><\/math><span> is <\/span><\/p><br><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:115%;font-size:12pt\"><spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><p><\/p><pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:115%;font-size:12pt\"><spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><p><\/p><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:115%;font-size:12pt\"><\/spanstyle=\"font-family:'timesnewroman';-aw-import:ignore\"><\/pstyle=\"margin-top:0pt;margin-bottom:0pt;line-height:115%;font-size:12pt\">","options":[{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>&gt;<\/mo><mi>&nbsp;<\/mi><mn>100<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>&gt;<\/mo><mi>&nbsp;<\/mi><mn>4<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>&gt;<\/mo><mi>&nbsp;<\/mi><mn>5<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><\/math>","correct":false},{"option":"<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>&lt;<\/mo><mi>&nbsp;<\/mi><mn>2<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><\/math><span>&nbsp;<\/span>","correct":true}],"solution":"<span>The least resistance obtained by using <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>2<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><mo>,<\/mo><mi>&nbsp;<\/mi><mn>4<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><mo>,<\/mo><mi>&nbsp;<\/mi><mn>1<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><\/math><span> and <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>100<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><\/math><span> is <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>&lt;<\/mo><mi>&nbsp;<\/mi><mn>2<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><\/math><span>.<\/span><br><span>It is known that the least resistance will be obtained when the resistances would be connected in parallel and the equivalent resistance would be even smaller than the least resistance of the circuit. <\/span><br><span>Therefore, from the given resistances, the least resistance obtained will be lesser than <\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>2<\/mn><mi mathvariant=\"italic\">&nbsp;\u03a9<\/mi><\/math><span>.<\/span><br><span>&nbsp;<\/span>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - 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