{"id":88904,"date":"2025-06-01T07:24:31","date_gmt":"2025-06-01T07:24:31","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88904"},"modified":"2025-06-01T07:24:31","modified_gmt":"2025-06-01T07:24:31","slug":"the-volume-of-a-sealed-packet-is-1-litre-and-its-mass-is-800-g-the-pa","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-volume-of-a-sealed-packet-is-1-litre-and-its-mass-is-800-g-the-pa\/","title":{"rendered":"The volume of a sealed packet is 1 litre and its mass is 800 g. The pa"},"content":{"rendered":"

The volume of a sealed packet is 1 litre and its mass is 800 g. The packet is first put inside water with density 1 g cm^-3 and then in another liquid B with density 1.5 g cm^-3. Then which one of the following statements holds true?<\/p>\n

[amp_mcq option1=”The packet will float in both water and liquid B.” option2=”The packet will sink in both water and liquid B.” option3=”The packet will sink in water but will float in liquid B.” option4=”The packet will float in water and sink in liquid B.” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-2 – 2022<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct option is A, stating that the packet will float in both water and liquid B.
\n<\/section>\n
\nThe principle of buoyancy states that an object will float in a fluid if its density is less than the density of the fluid. If its density is greater, it will sink. The packet has a volume of 1 litre (1000 cm\u00b3) and a mass of 800 g. Its density is mass\/volume = 800 g \/ 1000 cm\u00b3 = 0.8 g\/cm\u00b3. The density of water is 1 g\/cm\u00b3. Since 0.8 g\/cm\u00b3 < 1 g\/cm\u00b3, the packet will float in water. The density of liquid B is 1.5 g\/cm\u00b3. Since 0.8 g\/cm\u00b3 < 1.5 g\/cm\u00b3, the packet will also float in liquid B.\n<\/section>\n
\nWhen an object floats, the buoyant force exerted by the fluid is equal to the weight of the object. The buoyant force is also equal to the weight of the fluid displaced by the object. If the object sinks, the buoyant force is less than the weight of the object. The proportion of the object submerged when floating is equal to the ratio of the object’s density to the fluid’s density. In water, 0.8\/1 = 80% of the packet’s volume will be submerged. In liquid B, 0.8\/1.5 \u2248 53.3% of the packet’s volume will be submerged.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The volume of a sealed packet is 1 litre and its mass is 800 g. The packet is first put inside water with density 1 g cm^-3 and then in another liquid B with density 1.5 g cm^-3. Then which one of the following statements holds true? [amp_mcq option1=”The packet will float in both water … <\/p>\n

Detailed SolutionThe volume of a sealed packet is 1 litre and its mass is 800 g. The pa<\/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":[1108,1129,1128],"class_list":["post-88904","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1108","tag-mechanics","tag-physics","no-featured-image-padding"],"yoast_head":"\nThe volume of a sealed packet is 1 litre and its mass is 800 g. The pa<\/title>\n<meta name=\"description\" content=\"The correct option is A, stating that the packet will float in both water and liquid B. The principle of buoyancy states that an object will float in a fluid if its density is less than the density of the fluid. If its density is greater, it will sink. The packet has a volume of 1 litre (1000 cm\u00b3) and a mass of 800 g. Its density is mass\/volume = 800 g \/ 1000 cm\u00b3 = 0.8 g\/cm\u00b3. The density of water is 1 g\/cm\u00b3. Since 0.8 g\/cm\u00b3 < 1 g\/cm\u00b3, the packet will float in water. The density of liquid B is 1.5 g\/cm\u00b3. Since 0.8 g\/cm\u00b3 < 1.5 g\/cm\u00b3, the packet will also float in liquid B.\" \/>\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\/the-volume-of-a-sealed-packet-is-1-litre-and-its-mass-is-800-g-the-pa\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The volume of a sealed packet is 1 litre and its mass is 800 g. The pa\" \/>\n<meta property=\"og:description\" content=\"The correct option is A, stating that the packet will float in both water and liquid B. The principle of buoyancy states that an object will float in a fluid if its density is less than the density of the fluid. If its density is greater, it will sink. The packet has a volume of 1 litre (1000 cm\u00b3) and a mass of 800 g. Its density is mass\/volume = 800 g \/ 1000 cm\u00b3 = 0.8 g\/cm\u00b3. The density of water is 1 g\/cm\u00b3. Since 0.8 g\/cm\u00b3 < 1 g\/cm\u00b3, the packet will float in water. The density of liquid B is 1.5 g\/cm\u00b3. Since 0.8 g\/cm\u00b3 < 1.5 g\/cm\u00b3, the packet will also float in liquid B.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-volume-of-a-sealed-packet-is-1-litre-and-its-mass-is-800-g-the-pa\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:24:31+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=\"2 minutes\" \/>\n<!-- \/ Yoast SEO Premium plugin. -->","yoast_head_json":{"title":"The volume of a sealed packet is 1 litre and its mass is 800 g. The pa","description":"The correct option is A, stating that the packet will float in both water and liquid B. The principle of buoyancy states that an object will float in a fluid if its density is less than the density of the fluid. If its density is greater, it will sink. The packet has a volume of 1 litre (1000 cm\u00b3) and a mass of 800 g. Its density is mass\/volume = 800 g \/ 1000 cm\u00b3 = 0.8 g\/cm\u00b3. The density of water is 1 g\/cm\u00b3. Since 0.8 g\/cm\u00b3 < 1 g\/cm\u00b3, the packet will float in water. The density of liquid B is 1.5 g\/cm\u00b3. Since 0.8 g\/cm\u00b3 < 1.5 g\/cm\u00b3, the packet will also float in liquid B.","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\/the-volume-of-a-sealed-packet-is-1-litre-and-its-mass-is-800-g-the-pa\/","og_locale":"en_US","og_type":"article","og_title":"The volume of a sealed packet is 1 litre and its mass is 800 g. The pa","og_description":"The correct option is A, stating that the packet will float in both water and liquid B. The principle of buoyancy states that an object will float in a fluid if its density is less than the density of the fluid. If its density is greater, it will sink. The packet has a volume of 1 litre (1000 cm\u00b3) and a mass of 800 g. Its density is mass\/volume = 800 g \/ 1000 cm\u00b3 = 0.8 g\/cm\u00b3. The density of water is 1 g\/cm\u00b3. Since 0.8 g\/cm\u00b3 < 1 g\/cm\u00b3, the packet will float in water. The density of liquid B is 1.5 g\/cm\u00b3. Since 0.8 g\/cm\u00b3 < 1.5 g\/cm\u00b3, the packet will also float in liquid B.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-volume-of-a-sealed-packet-is-1-litre-and-its-mass-is-800-g-the-pa\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T07:24:31+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-volume-of-a-sealed-packet-is-1-litre-and-its-mass-is-800-g-the-pa\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-volume-of-a-sealed-packet-is-1-litre-and-its-mass-is-800-g-the-pa\/","name":"The volume of a sealed packet is 1 litre and its mass is 800 g. The pa","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T07:24:31+00:00","dateModified":"2025-06-01T07:24:31+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct option is A, stating that the packet will float in both water and liquid B. The principle of buoyancy states that an object will float in a fluid if its density is less than the density of the fluid. If its density is greater, it will sink. The packet has a volume of 1 litre (1000 cm\u00b3) and a mass of 800 g. Its density is mass\/volume = 800 g \/ 1000 cm\u00b3 = 0.8 g\/cm\u00b3. The density of water is 1 g\/cm\u00b3. Since 0.8 g\/cm\u00b3 < 1 g\/cm\u00b3, the packet will float in water. The density of liquid B is 1.5 g\/cm\u00b3. Since 0.8 g\/cm\u00b3 < 1.5 g\/cm\u00b3, the packet will also float in liquid B.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-volume-of-a-sealed-packet-is-1-litre-and-its-mass-is-800-g-the-pa\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-volume-of-a-sealed-packet-is-1-litre-and-its-mass-is-800-g-the-pa\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-volume-of-a-sealed-packet-is-1-litre-and-its-mass-is-800-g-the-pa\/#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":"The volume of a sealed packet is 1 litre and its mass is 800 g. 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