{"id":89061,"date":"2025-06-01T07:28:38","date_gmt":"2025-06-01T07:28:38","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89061"},"modified":"2025-06-01T07:28:38","modified_gmt":"2025-06-01T07:28:38","slug":"a-pumpkin-weighs-7-5-n-on-submerging-it-completely-in-water-%c2%be-l-of-w","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-pumpkin-weighs-7-5-n-on-submerging-it-completely-in-water-%c2%be-l-of-w\/","title":{"rendered":"A pumpkin weighs 7.5 N. On submerging it completely in water, \u00be L of w"},"content":{"rendered":"

A pumpkin weighs 7.5 N. On submerging it completely in water, \u00be L of water gets displaced. The acceleration due to gravity at the place where the pumpkin was weighed is 10 m\/s\u00b2. Which one of the following is the correct value of the density of the pumpkin ?<\/p>\n

[amp_mcq option1=”10 kg\/m\u00b3” option2=”100 kg\/m\u00b3” option3=”1000 kg\/m\u00b3” option4=”10000 kg\/m\u00b3” correct=”option3″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-2 – 2024<\/div>\n<\/div>\n
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\nThe weight of the pumpkin is given as 7.5 N. Using the formula Weight = mass \u00d7 gravity, the mass of the pumpkin can be calculated. When the pumpkin is completely submerged, the volume of water displaced is equal to the volume of the pumpkin. Given the volume of displaced water, we can calculate the volume of the pumpkin. Density is then calculated as mass divided by volume.
\n<\/section>\n
\nMass of pumpkin (m) = Weight \/ gravity = 7.5 N \/ 10 m\/s\u00b2 = 0.75 kg.
\nVolume of water displaced (V_displaced) = 3\/4 L = 0.75 L.
\nConverting litres to cubic meters: 1 L = 0.001 m\u00b3. So, V_displaced = 0.75 \u00d7 0.001 m\u00b3 = 0.00075 m\u00b3.
\nWhen completely submerged, Volume of pumpkin (V_pumpkin) = V_displaced = 0.00075 m\u00b3.
\nDensity of pumpkin (\u03c1) = Mass \/ Volume = 0.75 kg \/ 0.00075 m\u00b3.
\n\u03c1 = 0.75 \/ (7.5 \u00d7 10\u207b\u2074) = (7.5 \u00d7 10\u207b\u00b9) \/ (7.5 \u00d7 10\u207b\u2074) = 10\u00b3 kg\/m\u00b3 = 1000 kg\/m\u00b3.
\n<\/section>\n
\nThe density of water is approximately 1000 kg\/m\u00b3. A pumpkin with a density equal to or slightly less than water would float or remain suspended when fully submerged. The fact that it displaces \u00be L of water upon complete submersion means its volume is \u00be L. The calculation of density confirms it is very close to the density of water, which is reasonable for a pumpkin.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

A pumpkin weighs 7.5 N. On submerging it completely in water, \u00be L of water gets displaced. The acceleration due to gravity at the place where the pumpkin was weighed is 10 m\/s\u00b2. Which one of the following is the correct value of the density of the pumpkin ? [amp_mcq option1=”10 kg\/m\u00b3” option2=”100 kg\/m\u00b3” option3=”1000 … <\/p>\n

Detailed SolutionA pumpkin weighs 7.5 N. On submerging it completely in water, \u00be L of w<\/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":[1094],"tags":[1103,1160,1128],"class_list":["post-89061","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1103","tag-physical-properties-of-materials","tag-physics","no-featured-image-padding"],"yoast_head":"\nA pumpkin weighs 7.5 N. On submerging it completely in water, \u00be L of w<\/title>\n<meta name=\"description\" content=\"The weight of the pumpkin is given as 7.5 N. Using the formula Weight = mass \u00d7 gravity, the mass of the pumpkin can be calculated. When the pumpkin is completely submerged, the volume of water displaced is equal to the volume of the pumpkin. Given the volume of displaced water, we can calculate the volume of the pumpkin. Density is then calculated as mass divided by volume. Mass of pumpkin (m) = Weight \/ gravity = 7.5 N \/ 10 m\/s\u00b2 = 0.75 kg. Volume of water displaced (V_displaced) = 3\/4 L = 0.75 L. Converting litres to cubic meters: 1 L = 0.001 m\u00b3. So, V_displaced = 0.75 \u00d7 0.001 m\u00b3 = 0.00075 m\u00b3. When completely submerged, Volume of pumpkin (V_pumpkin) = V_displaced = 0.00075 m\u00b3. Density of pumpkin (\u03c1) = Mass \/ Volume = 0.75 kg \/ 0.00075 m\u00b3. \u03c1 = 0.75 \/ (7.5 \u00d7 10\u207b\u2074) = (7.5 \u00d7 10\u207b\u00b9) \/ (7.5 \u00d7 10\u207b\u2074) = 10\u00b3 kg\/m\u00b3 = 1000 kg\/m\u00b3.\" \/>\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\/a-pumpkin-weighs-7-5-n-on-submerging-it-completely-in-water-\u00be-l-of-w\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A pumpkin weighs 7.5 N. On submerging it completely in water, \u00be L of w\" \/>\n<meta property=\"og:description\" content=\"The weight of the pumpkin is given as 7.5 N. Using the formula Weight = mass \u00d7 gravity, the mass of the pumpkin can be calculated. When the pumpkin is completely submerged, the volume of water displaced is equal to the volume of the pumpkin. Given the volume of displaced water, we can calculate the volume of the pumpkin. Density is then calculated as mass divided by volume. Mass of pumpkin (m) = Weight \/ gravity = 7.5 N \/ 10 m\/s\u00b2 = 0.75 kg. Volume of water displaced (V_displaced) = 3\/4 L = 0.75 L. Converting litres to cubic meters: 1 L = 0.001 m\u00b3. So, V_displaced = 0.75 \u00d7 0.001 m\u00b3 = 0.00075 m\u00b3. When completely submerged, Volume of pumpkin (V_pumpkin) = V_displaced = 0.00075 m\u00b3. Density of pumpkin (\u03c1) = Mass \/ Volume = 0.75 kg \/ 0.00075 m\u00b3. \u03c1 = 0.75 \/ (7.5 \u00d7 10\u207b\u2074) = (7.5 \u00d7 10\u207b\u00b9) \/ (7.5 \u00d7 10\u207b\u2074) = 10\u00b3 kg\/m\u00b3 = 1000 kg\/m\u00b3.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/a-pumpkin-weighs-7-5-n-on-submerging-it-completely-in-water-\u00be-l-of-w\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:28:38+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":"A pumpkin weighs 7.5 N. On submerging it completely in water, \u00be L of w","description":"The weight of the pumpkin is given as 7.5 N. Using the formula Weight = mass \u00d7 gravity, the mass of the pumpkin can be calculated. When the pumpkin is completely submerged, the volume of water displaced is equal to the volume of the pumpkin. Given the volume of displaced water, we can calculate the volume of the pumpkin. Density is then calculated as mass divided by volume. Mass of pumpkin (m) = Weight \/ gravity = 7.5 N \/ 10 m\/s\u00b2 = 0.75 kg. Volume of water displaced (V_displaced) = 3\/4 L = 0.75 L. Converting litres to cubic meters: 1 L = 0.001 m\u00b3. So, V_displaced = 0.75 \u00d7 0.001 m\u00b3 = 0.00075 m\u00b3. When completely submerged, Volume of pumpkin (V_pumpkin) = V_displaced = 0.00075 m\u00b3. Density of pumpkin (\u03c1) = Mass \/ Volume = 0.75 kg \/ 0.00075 m\u00b3. \u03c1 = 0.75 \/ (7.5 \u00d7 10\u207b\u2074) = (7.5 \u00d7 10\u207b\u00b9) \/ (7.5 \u00d7 10\u207b\u2074) = 10\u00b3 kg\/m\u00b3 = 1000 kg\/m\u00b3.","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\/a-pumpkin-weighs-7-5-n-on-submerging-it-completely-in-water-\u00be-l-of-w\/","og_locale":"en_US","og_type":"article","og_title":"A pumpkin weighs 7.5 N. On submerging it completely in water, \u00be L of w","og_description":"The weight of the pumpkin is given as 7.5 N. Using the formula Weight = mass \u00d7 gravity, the mass of the pumpkin can be calculated. When the pumpkin is completely submerged, the volume of water displaced is equal to the volume of the pumpkin. Given the volume of displaced water, we can calculate the volume of the pumpkin. Density is then calculated as mass divided by volume. Mass of pumpkin (m) = Weight \/ gravity = 7.5 N \/ 10 m\/s\u00b2 = 0.75 kg. Volume of water displaced (V_displaced) = 3\/4 L = 0.75 L. Converting litres to cubic meters: 1 L = 0.001 m\u00b3. So, V_displaced = 0.75 \u00d7 0.001 m\u00b3 = 0.00075 m\u00b3. When completely submerged, Volume of pumpkin (V_pumpkin) = V_displaced = 0.00075 m\u00b3. Density of pumpkin (\u03c1) = Mass \/ Volume = 0.75 kg \/ 0.00075 m\u00b3. \u03c1 = 0.75 \/ (7.5 \u00d7 10\u207b\u2074) = (7.5 \u00d7 10\u207b\u00b9) \/ (7.5 \u00d7 10\u207b\u2074) = 10\u00b3 kg\/m\u00b3 = 1000 kg\/m\u00b3.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-pumpkin-weighs-7-5-n-on-submerging-it-completely-in-water-\u00be-l-of-w\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T07:28:38+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\/a-pumpkin-weighs-7-5-n-on-submerging-it-completely-in-water-%c2%be-l-of-w\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-pumpkin-weighs-7-5-n-on-submerging-it-completely-in-water-%c2%be-l-of-w\/","name":"A pumpkin weighs 7.5 N. On submerging it completely in water, \u00be L of w","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T07:28:38+00:00","dateModified":"2025-06-01T07:28:38+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The weight of the pumpkin is given as 7.5 N. Using the formula Weight = mass \u00d7 gravity, the mass of the pumpkin can be calculated. When the pumpkin is completely submerged, the volume of water displaced is equal to the volume of the pumpkin. Given the volume of displaced water, we can calculate the volume of the pumpkin. Density is then calculated as mass divided by volume. Mass of pumpkin (m) = Weight \/ gravity = 7.5 N \/ 10 m\/s\u00b2 = 0.75 kg. Volume of water displaced (V_displaced) = 3\/4 L = 0.75 L. Converting litres to cubic meters: 1 L = 0.001 m\u00b3. So, V_displaced = 0.75 \u00d7 0.001 m\u00b3 = 0.00075 m\u00b3. When completely submerged, Volume of pumpkin (V_pumpkin) = V_displaced = 0.00075 m\u00b3. Density of pumpkin (\u03c1) = Mass \/ Volume = 0.75 kg \/ 0.00075 m\u00b3. \u03c1 = 0.75 \/ (7.5 \u00d7 10\u207b\u2074) = (7.5 \u00d7 10\u207b\u00b9) \/ (7.5 \u00d7 10\u207b\u2074) = 10\u00b3 kg\/m\u00b3 = 1000 kg\/m\u00b3.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/a-pumpkin-weighs-7-5-n-on-submerging-it-completely-in-water-%c2%be-l-of-w\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/a-pumpkin-weighs-7-5-n-on-submerging-it-completely-in-water-%c2%be-l-of-w\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-pumpkin-weighs-7-5-n-on-submerging-it-completely-in-water-%c2%be-l-of-w\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC NDA-2","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-nda-2\/"},{"@type":"ListItem","position":3,"name":"A pumpkin weighs 7.5 N. 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