{"id":87930,"date":"2025-06-01T06:58:03","date_gmt":"2025-06-01T06:58:03","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87930"},"modified":"2025-06-01T06:58:03","modified_gmt":"2025-06-01T06:58:03","slug":"two-identical-spring-balances-s%e2%82%81-and-s%e2%82%82-are-connected-one-after-the-ot","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/two-identical-spring-balances-s%e2%82%81-and-s%e2%82%82-are-connected-one-after-the-ot\/","title":{"rendered":"Two identical spring balances S\u2081 and S\u2082 are connected one after the ot"},"content":{"rendered":"

Two identical spring balances S\u2081 and S\u2082 are connected one after the other and are held vertically as shown in the figure. A mass of 10 kg is hanging from S\u2082. If the readings on S\u2081 and S\u2082 are W\u2081 and W\u2082 respectively, then:<\/p>\n

[amp_mcq option1=”W\u2081=5kg and W\u2082=10kg” option2=”W\u2081=10kg and W\u2082=5kg” option3=”W\u2081=5kg and W\u2082=5kg” option4=”W\u2081=10kg and W\u2082=10kg” correct=”option4″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-1 – 2023<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct option is D.
\n<\/section>\n
\nWhen identical spring balances are connected in series and a mass is suspended from the lower one, the lower balance measures the weight of the suspended mass. The upper balance measures the total tension required to support everything hanging below it, which includes the lower balance (assuming negligible weight for the balance itself) and the suspended mass. Thus, both balances will read the weight of the 10 kg mass.
\n<\/section>\n
\nSpring balances measure force (tension). When used to measure weight under gravity, they are often calibrated to display mass (mass = weight \/ g). In this setup, the tension in the lower spring (S\u2082) is equal to the weight of the 10 kg mass. The tension in the upper spring (S\u2081) is equal to the sum of the tensions from S\u2082 and the weight of S\u2082 itself. Assuming the spring balances have negligible weight, S\u2081 measures the same tension as S\u2082, which is the weight of the 10 kg mass. If the mass is 10 kg, its weight is approximately 10g N. A spring balance calibrated in kg would read 10 kg for a 10 kg mass under standard gravity.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Two identical spring balances S\u2081 and S\u2082 are connected one after the other and are held vertically as shown in the figure. A mass of 10 kg is hanging from S\u2082. If the readings on S\u2081 and S\u2082 are W\u2081 and W\u2082 respectively, then: [amp_mcq option1=”W\u2081=5kg and W\u2082=10kg” option2=”W\u2081=10kg and W\u2082=5kg” option3=”W\u2081=5kg and W\u2082=5kg” option4=”W\u2081=10kg … <\/p>\n

Detailed SolutionTwo identical spring balances S\u2081 and S\u2082 are connected one after the ot<\/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":[1105,1129,1128],"class_list":["post-87930","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1105","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nTwo identical spring balances S\u2081 and S\u2082 are connected one after the ot<\/title>\n<meta name=\"description\" content=\"The correct option is D. When identical spring balances are connected in series and a mass is suspended from the lower one, the lower balance measures the weight of the suspended mass. The upper balance measures the total tension required to support everything hanging below it, which includes the lower balance (assuming negligible weight for the balance itself) and the suspended mass. Thus, both balances will read the weight of the 10 kg mass.\" \/>\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\/two-identical-spring-balances-s\u2081-and-s\u2082-are-connected-one-after-the-ot\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Two identical spring balances S\u2081 and S\u2082 are connected one after the ot\" \/>\n<meta property=\"og:description\" content=\"The correct option is D. When identical spring balances are connected in series and a mass is suspended from the lower one, the lower balance measures the weight of the suspended mass. The upper balance measures the total tension required to support everything hanging below it, which includes the lower balance (assuming negligible weight for the balance itself) and the suspended mass. Thus, both balances will read the weight of the 10 kg mass.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/two-identical-spring-balances-s\u2081-and-s\u2082-are-connected-one-after-the-ot\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T06:58:03+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":"Two identical spring balances S\u2081 and S\u2082 are connected one after the ot","description":"The correct option is D. When identical spring balances are connected in series and a mass is suspended from the lower one, the lower balance measures the weight of the suspended mass. The upper balance measures the total tension required to support everything hanging below it, which includes the lower balance (assuming negligible weight for the balance itself) and the suspended mass. Thus, both balances will read the weight of the 10 kg mass.","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\/two-identical-spring-balances-s\u2081-and-s\u2082-are-connected-one-after-the-ot\/","og_locale":"en_US","og_type":"article","og_title":"Two identical spring balances S\u2081 and S\u2082 are connected one after the ot","og_description":"The correct option is D. When identical spring balances are connected in series and a mass is suspended from the lower one, the lower balance measures the weight of the suspended mass. The upper balance measures the total tension required to support everything hanging below it, which includes the lower balance (assuming negligible weight for the balance itself) and the suspended mass. Thus, both balances will read the weight of the 10 kg mass.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/two-identical-spring-balances-s\u2081-and-s\u2082-are-connected-one-after-the-ot\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T06:58:03+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\/two-identical-spring-balances-s%e2%82%81-and-s%e2%82%82-are-connected-one-after-the-ot\/","url":"https:\/\/exam.pscnotes.com\/mcq\/two-identical-spring-balances-s%e2%82%81-and-s%e2%82%82-are-connected-one-after-the-ot\/","name":"Two identical spring balances S\u2081 and S\u2082 are connected one after the ot","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T06:58:03+00:00","dateModified":"2025-06-01T06:58:03+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct option is D. When identical spring balances are connected in series and a mass is suspended from the lower one, the lower balance measures the weight of the suspended mass. The upper balance measures the total tension required to support everything hanging below it, which includes the lower balance (assuming negligible weight for the balance itself) and the suspended mass. 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