{"id":84985,"date":"2025-06-01T02:58:57","date_gmt":"2025-06-01T02:58:57","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=84985"},"modified":"2025-06-01T02:58:57","modified_gmt":"2025-06-01T02:58:57","slug":"the-unit-of-the-force-constant-k-of-a-spring-is","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-unit-of-the-force-constant-k-of-a-spring-is\/","title":{"rendered":"The unit of the force constant $k$ of a spring is"},"content":{"rendered":"

The unit of the force constant $k$ of a spring is<\/p>\n

[amp_mcq option1=”N-m” option2=”N\/m” option3=”N-m$^2$” option4=”N\/m$^2$” correct=”option2″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC CDS-1 – 2020<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nAccording to Hooke’s Law, the force (F) required to extend or compress a spring by a distance (x) is proportional to that distance, i.e., $F = kx$, where k is the force constant (also known as the spring constant). To find the unit of k, we can rearrange the formula: $k = F\/x$. The standard unit of force (F) is Newtons (N), and the standard unit of displacement (x) is meters (m). Therefore, the unit of the force constant k is Newtons per meter (N\/m).
\n<\/section>\n
\n– Hooke’s Law: $F = kx$.
\n– F is force (unit: N).
\n– x is displacement (unit: m).
\n– k is the force constant.
\n<\/section>\n
\nThe force constant k is a measure of the stiffness of the spring; a higher value of k means the spring is stiffer and requires more force to extend or compress it by a given distance.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

The unit of the force constant $k$ of a spring is [amp_mcq option1=”N-m” option2=”N\/m” option3=”N-m$^2$” option4=”N\/m$^2$” correct=”option2″] This question was previously asked in UPSC CDS-1 – 2020 Download PDFAttempt Online According to Hooke’s Law, the force (F) required to extend or compress a spring by a distance (x) is proportional to that distance, i.e., $F … <\/p>\n

Detailed SolutionThe unit of the force constant $k$ of a spring is<\/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":[1087],"tags":[1288,1140,1128],"class_list":["post-84985","post","type-post","status-publish","format-standard","hentry","category-upsc-cds-1","tag-1288","tag-measurement-unit","tag-physics","no-featured-image-padding"],"yoast_head":"\nThe unit of the force constant $k$ of a spring is<\/title>\n<meta name=\"description\" content=\"According to Hooke's Law, the force (F) required to extend or compress a spring by a distance (x) is proportional to that distance, i.e., $F = kx$, where k is the force constant (also known as the spring constant). To find the unit of k, we can rearrange the formula: $k = F\/x$. The standard unit of force (F) is Newtons (N), and the standard unit of displacement (x) is meters (m). Therefore, the unit of the force constant k is Newtons per meter (N\/m). - Hooke's Law: $F = kx$. - F is force (unit: N). - x is displacement (unit: m). - k is the force constant.\" \/>\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-unit-of-the-force-constant-k-of-a-spring-is\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The unit of the force constant $k$ of a spring is\" \/>\n<meta property=\"og:description\" content=\"According to Hooke's Law, the force (F) required to extend or compress a spring by a distance (x) is proportional to that distance, i.e., $F = kx$, where k is the force constant (also known as the spring constant). To find the unit of k, we can rearrange the formula: $k = F\/x$. The standard unit of force (F) is Newtons (N), and the standard unit of displacement (x) is meters (m). Therefore, the unit of the force constant k is Newtons per meter (N\/m). - Hooke's Law: $F = kx$. - F is force (unit: N). - x is displacement (unit: m). - k is the force constant.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-unit-of-the-force-constant-k-of-a-spring-is\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T02:58:57+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":"The unit of the force constant $k$ of a spring is","description":"According to Hooke's Law, the force (F) required to extend or compress a spring by a distance (x) is proportional to that distance, i.e., $F = kx$, where k is the force constant (also known as the spring constant). To find the unit of k, we can rearrange the formula: $k = F\/x$. The standard unit of force (F) is Newtons (N), and the standard unit of displacement (x) is meters (m). Therefore, the unit of the force constant k is Newtons per meter (N\/m). - Hooke's Law: $F = kx$. - F is force (unit: N). - x is displacement (unit: m). - k is the force constant.","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-unit-of-the-force-constant-k-of-a-spring-is\/","og_locale":"en_US","og_type":"article","og_title":"The unit of the force constant $k$ of a spring is","og_description":"According to Hooke's Law, the force (F) required to extend or compress a spring by a distance (x) is proportional to that distance, i.e., $F = kx$, where k is the force constant (also known as the spring constant). To find the unit of k, we can rearrange the formula: $k = F\/x$. The standard unit of force (F) is Newtons (N), and the standard unit of displacement (x) is meters (m). Therefore, the unit of the force constant k is Newtons per meter (N\/m). - Hooke's Law: $F = kx$. - F is force (unit: N). - x is displacement (unit: m). - k is the force constant.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-unit-of-the-force-constant-k-of-a-spring-is\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T02:58:57+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\/the-unit-of-the-force-constant-k-of-a-spring-is\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-unit-of-the-force-constant-k-of-a-spring-is\/","name":"The unit of the force constant $k$ of a spring is","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T02:58:57+00:00","dateModified":"2025-06-01T02:58:57+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"According to Hooke's Law, the force (F) required to extend or compress a spring by a distance (x) is proportional to that distance, i.e., $F = kx$, where k is the force constant (also known as the spring constant). To find the unit of k, we can rearrange the formula: $k = F\/x$. The standard unit of force (F) is Newtons (N), and the standard unit of displacement (x) is meters (m). 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