{"id":89092,"date":"2025-06-01T07:29:12","date_gmt":"2025-06-01T07:29:12","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89092"},"modified":"2025-06-01T07:29:12","modified_gmt":"2025-06-01T07:29:12","slug":"given-below-are-the-four-cases-in-which-certain-heat-transfer-is-takin","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/given-below-are-the-four-cases-in-which-certain-heat-transfer-is-takin\/","title":{"rendered":"Given below are the four cases in which certain heat transfer is takin"},"content":{"rendered":"<p>Given below are the four cases in which certain heat transfer is taking place :<\/p>\n<ul>\n<li>1. Ice is melting in a glass full of water<\/li>\n<li>2. Water is boiling in an open container<\/li>\n<li>3. A metal rod is heated in a furnace<\/li>\n<li>4. A cup of coffee is allowed to cool on a table<\/li>\n<\/ul>\n<p>In which of the above cases, the Newton&#8217;s Law of Cooling is applicable?<\/p>\n<p>[amp_mcq option1=&#8221;1 only&#8221; option2=&#8221;4 only&#8221; option3=&#8221;1 and 4 only&#8221; option4=&#8221;1, 2 and 3&#8243; correct=&#8221;option2&#8243;]<\/p>\n<div class=\"psc-box-pyq-exam-year-detail\">\n<div class=\"pyq-exam\">\n<div class=\"psc-heading\">This question was previously asked in<\/div>\n<div class=\"psc-title line-ellipsis\">UPSC NDA-2 &#8211; 2024<\/div>\n<\/div>\n<div class=\"pyq-exam-psc-buttons\"><a href=\"\/pyq\/pyq-upsc-nda-2-2024.pdf\" target=\"_blank\" class=\"psc-pdf-button\" rel=\"noopener\">Download PDF<\/a><a href=\"\/pyq-upsc-nda-2-2024\" target=\"_blank\" class=\"psc-attempt-button\" rel=\"noopener\">Attempt Online<\/a><\/div>\n<\/div>\n<section id=\"pyq-correct-answer\">\nNewton&#8217;s Law of Cooling states that the rate of heat loss from an object is proportional to the temperature difference between the object and its surroundings. This law is generally applicable when heat transfer is primarily by convection and radiation, and the temperature difference is relatively small.<br \/>\n1. Ice melting: Involves a phase change at a constant temperature (0\u00b0C). The rate of heat absorption is constant if the surroundings are at a constant temperature, but the process is melting, not cooling according to the temperature-difference proportionality of Newton&#8217;s law.<br \/>\n2. Water boiling: Involves a phase change at a constant temperature (100\u00b0C at atmospheric pressure). This is a process of heating (adding heat to cause vaporization), not cooling.<br \/>\n3. Metal rod heated in a furnace: This is a process of heating the rod by transferring heat *from* the furnace *to* the rod. Newton&#8217;s Law of Cooling describes heat *loss* (cooling).<br \/>\n4. Cup of coffee cooling on a table: The hot coffee loses heat to the cooler surroundings (air and table) via convection and radiation, causing its temperature to decrease. This scenario directly fits the conditions and description of Newton&#8217;s Law of Cooling, especially as the temperature difference between the coffee and the surroundings decreases over time.<br \/>\n<\/section>\n<section id=\"pyq-key-points\">\nNewton&#8217;s Law of Cooling applies to the cooling of an object where the rate of heat loss is proportional to the temperature difference between the object and its surroundings. It is typically applicable for heat transfer by convection and radiation and for relatively small temperature differences.<br \/>\n<\/section>\n<section id=\"pyq-additional-information\">\nThe formula for Newton&#8217;s Law of Cooling is often given as dT\/dt = -k(T &#8211; T_s), where T is the temperature of the object, T_s is the temperature of the surroundings, t is time, and k is a positive constant. This shows that the rate of temperature change (cooling if T > T_s) is proportional to the temperature difference (T &#8211; T_s).<br \/>\n<\/section>\n","protected":false},"excerpt":{"rendered":"<p>Given below are the four cases in which certain heat transfer is taking place : 1. Ice is melting in a glass full of water 2. Water is boiling in an open container 3. A metal rod is heated in a furnace 4. A cup of coffee is allowed to cool on a table In &#8230; <\/p>\n<p class=\"read-more-container\"><a title=\"Given below are the four cases in which certain heat transfer is takin\" class=\"read-more button\" href=\"https:\/\/exam.pscnotes.com\/mcq\/given-below-are-the-four-cases-in-which-certain-heat-transfer-is-takin\/#more-89092\">Detailed Solution<span class=\"screen-reader-text\">Given below are the four cases in which certain heat transfer is takin<\/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":[1103,1130,1128],"class_list":["post-89092","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1103","tag-heat-and-thermodynamics","tag-physics","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>Given below are the four cases in which certain heat transfer is takin<\/title>\n<meta name=\"description\" content=\"Newton&#039;s Law of Cooling states that the rate of heat loss from an object is proportional to the temperature difference between the object and its surroundings. This law is generally applicable when heat transfer is primarily by convection and radiation, and the temperature difference is relatively small. 1. Ice melting: Involves a phase change at a constant temperature (0\u00b0C). The rate of heat absorption is constant if the surroundings are at a constant temperature, but the process is melting, not cooling according to the temperature-difference proportionality of Newton&#039;s law. 2. Water boiling: Involves a phase change at a constant temperature (100\u00b0C at atmospheric pressure). This is a process of heating (adding heat to cause vaporization), not cooling. 3. Metal rod heated in a furnace: This is a process of heating the rod by transferring heat *from* the furnace *to* the rod. Newton&#039;s Law of Cooling describes heat *loss* (cooling). 4. Cup of coffee cooling on a table: The hot coffee loses heat to the cooler surroundings (air and table) via convection and radiation, causing its temperature to decrease. This scenario directly fits the conditions and description of Newton&#039;s Law of Cooling, especially as the temperature difference between the coffee and the surroundings decreases over time. Newton&#039;s Law of Cooling applies to the cooling of an object where the rate of heat loss is proportional to the temperature difference between the object and its surroundings. It is typically applicable for heat transfer by convection and radiation and for relatively small temperature differences.\" \/>\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\/given-below-are-the-four-cases-in-which-certain-heat-transfer-is-takin\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Given below are the four cases in which certain heat transfer is takin\" \/>\n<meta property=\"og:description\" content=\"Newton&#039;s Law of Cooling states that the rate of heat loss from an object is proportional to the temperature difference between the object and its surroundings. This law is generally applicable when heat transfer is primarily by convection and radiation, and the temperature difference is relatively small. 1. Ice melting: Involves a phase change at a constant temperature (0\u00b0C). The rate of heat absorption is constant if the surroundings are at a constant temperature, but the process is melting, not cooling according to the temperature-difference proportionality of Newton&#039;s law. 2. Water boiling: Involves a phase change at a constant temperature (100\u00b0C at atmospheric pressure). This is a process of heating (adding heat to cause vaporization), not cooling. 3. Metal rod heated in a furnace: This is a process of heating the rod by transferring heat *from* the furnace *to* the rod. Newton&#039;s Law of Cooling describes heat *loss* (cooling). 4. Cup of coffee cooling on a table: The hot coffee loses heat to the cooler surroundings (air and table) via convection and radiation, causing its temperature to decrease. This scenario directly fits the conditions and description of Newton&#039;s Law of Cooling, especially as the temperature difference between the coffee and the surroundings decreases over time. Newton&#039;s Law of Cooling applies to the cooling of an object where the rate of heat loss is proportional to the temperature difference between the object and its surroundings. It is typically applicable for heat transfer by convection and radiation and for relatively small temperature differences.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/given-below-are-the-four-cases-in-which-certain-heat-transfer-is-takin\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:29:12+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":"Given below are the four cases in which certain heat transfer is takin","description":"Newton's Law of Cooling states that the rate of heat loss from an object is proportional to the temperature difference between the object and its surroundings. This law is generally applicable when heat transfer is primarily by convection and radiation, and the temperature difference is relatively small. 1. Ice melting: Involves a phase change at a constant temperature (0\u00b0C). The rate of heat absorption is constant if the surroundings are at a constant temperature, but the process is melting, not cooling according to the temperature-difference proportionality of Newton's law. 2. Water boiling: Involves a phase change at a constant temperature (100\u00b0C at atmospheric pressure). This is a process of heating (adding heat to cause vaporization), not cooling. 3. Metal rod heated in a furnace: This is a process of heating the rod by transferring heat *from* the furnace *to* the rod. Newton's Law of Cooling describes heat *loss* (cooling). 4. Cup of coffee cooling on a table: The hot coffee loses heat to the cooler surroundings (air and table) via convection and radiation, causing its temperature to decrease. This scenario directly fits the conditions and description of Newton's Law of Cooling, especially as the temperature difference between the coffee and the surroundings decreases over time. Newton's Law of Cooling applies to the cooling of an object where the rate of heat loss is proportional to the temperature difference between the object and its surroundings. It is typically applicable for heat transfer by convection and radiation and for relatively small temperature differences.","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\/given-below-are-the-four-cases-in-which-certain-heat-transfer-is-takin\/","og_locale":"en_US","og_type":"article","og_title":"Given below are the four cases in which certain heat transfer is takin","og_description":"Newton's Law of Cooling states that the rate of heat loss from an object is proportional to the temperature difference between the object and its surroundings. This law is generally applicable when heat transfer is primarily by convection and radiation, and the temperature difference is relatively small. 1. Ice melting: Involves a phase change at a constant temperature (0\u00b0C). The rate of heat absorption is constant if the surroundings are at a constant temperature, but the process is melting, not cooling according to the temperature-difference proportionality of Newton's law. 2. Water boiling: Involves a phase change at a constant temperature (100\u00b0C at atmospheric pressure). This is a process of heating (adding heat to cause vaporization), not cooling. 3. Metal rod heated in a furnace: This is a process of heating the rod by transferring heat *from* the furnace *to* the rod. Newton's Law of Cooling describes heat *loss* (cooling). 4. Cup of coffee cooling on a table: The hot coffee loses heat to the cooler surroundings (air and table) via convection and radiation, causing its temperature to decrease. This scenario directly fits the conditions and description of Newton's Law of Cooling, especially as the temperature difference between the coffee and the surroundings decreases over time. Newton's Law of Cooling applies to the cooling of an object where the rate of heat loss is proportional to the temperature difference between the object and its surroundings. It is typically applicable for heat transfer by convection and radiation and for relatively small temperature differences.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/given-below-are-the-four-cases-in-which-certain-heat-transfer-is-takin\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T07:29:12+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\/given-below-are-the-four-cases-in-which-certain-heat-transfer-is-takin\/","url":"https:\/\/exam.pscnotes.com\/mcq\/given-below-are-the-four-cases-in-which-certain-heat-transfer-is-takin\/","name":"Given below are the four cases in which certain heat transfer is takin","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T07:29:12+00:00","dateModified":"2025-06-01T07:29:12+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"Newton's Law of Cooling states that the rate of heat loss from an object is proportional to the temperature difference between the object and its surroundings. This law is generally applicable when heat transfer is primarily by convection and radiation, and the temperature difference is relatively small. 1. Ice melting: Involves a phase change at a constant temperature (0\u00b0C). The rate of heat absorption is constant if the surroundings are at a constant temperature, but the process is melting, not cooling according to the temperature-difference proportionality of Newton's law. 2. Water boiling: Involves a phase change at a constant temperature (100\u00b0C at atmospheric pressure). This is a process of heating (adding heat to cause vaporization), not cooling. 3. Metal rod heated in a furnace: This is a process of heating the rod by transferring heat *from* the furnace *to* the rod. Newton's Law of Cooling describes heat *loss* (cooling). 4. Cup of coffee cooling on a table: The hot coffee loses heat to the cooler surroundings (air and table) via convection and radiation, causing its temperature to decrease. This scenario directly fits the conditions and description of Newton's Law of Cooling, especially as the temperature difference between the coffee and the surroundings decreases over time. Newton's Law of Cooling applies to the cooling of an object where the rate of heat loss is proportional to the temperature difference between the object and its surroundings. It is typically applicable for heat transfer by convection and radiation and for relatively small temperature differences.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/given-below-are-the-four-cases-in-which-certain-heat-transfer-is-takin\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/given-below-are-the-four-cases-in-which-certain-heat-transfer-is-takin\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/given-below-are-the-four-cases-in-which-certain-heat-transfer-is-takin\/#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":"Given below are the four cases in which certain heat transfer is takin"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89092","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=89092"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/89092\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=89092"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=89092"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=89092"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}