{"id":246250,"date":"2022-09-10T09:01:53","date_gmt":"2022-09-10T03:31:53","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-particle-of-mass-m-is-executing-s-h-m-if-amplitude-is-a-and-frequency-n-the-value-of-its-force-constant-will-be\/"},"modified":"2023-04-21T17:01:05","modified_gmt":"2023-04-21T11:31:05","slug":"a-particle-of-mass-m-is-executing-s-h-m-if-amplitude-is-a-and-frequency-n-the-value-of-its-force-constant-will-be","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-particle-of-massmis-executing-shm-if-amplitude-isaa\/","title":{"rendered":"A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be :"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"for a particle in shm if the amplitude of displacement","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be - Option - (D) 4\u03c02mn2","custom_permalink":"question\/physics\/a-particle-of-massmis-executing-shm-if-amplitude-isaa\/"},"categories":[],"acf":{"question":"<p>A particle of mass&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>m<\/mi><\/math>&nbsp;is executing S.H.M. If amplitude is&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>a<\/mi><\/math>&nbsp;and frequency&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>n<\/mi><\/math>, the value of its force constant will be :<\/p>","options":[{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>m<\/mi><msup><mi>n<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><mi>m<\/mi><msup><mi>n<\/mi><mn>2<\/mn><\/msup><msup><mi>a<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>m<\/mi><msup><mi>a<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mn>4<\/mn><msup><mi mathvariant=\"normal\">\u03c0<\/mi><mn>2<\/mn><\/msup><msup><mi>mn<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","correct":true}],"solution":"<p>Force constant<\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>K<\/mi><mo>=<\/mo><mi>m<\/mi><msup><mi>\u03c9<\/mi><mn>2<\/mn><\/msup><mo>\u21d2<\/mo><mi>K<\/mi><mo>=<\/mo><mi>m<\/mi><msup><mfenced><mrow><mn>2<\/mn><mi>\u03c0n<\/mi><\/mrow><\/mfenced><mn>2<\/mn><\/msup><mspace linebreak=\"newline\">&nbsp;<\/mspace><mi>K<\/mi><mo>=<\/mo><mi>m<\/mi><mn>4<\/mn><msup><mi mathvariant=\"normal\">\u03c0<\/mi><mn>2<\/mn><\/msup><msup><mi mathvariant=\"normal\">n<\/mi><mn>2<\/mn><\/msup><\/math><\/p>","subject":""},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be : - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be - Option - (D) 4\u03c02mn2\" \/>\n<meta name=\"robots\" content=\"index, follow, max-snippet:-1, max-image-preview:large, max-video-preview:-1\" \/>\n<link rel=\"canonical\" href=\"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-particle-of-massmis-executing-shm-if-amplitude-isaa\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be : - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be - Option - (D) 4\u03c02mn2\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-particle-of-massmis-executing-shm-if-amplitude-isaa\/\" \/>\n<meta property=\"og:site_name\" content=\"Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"article:publisher\" content=\"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/\" \/>\n<meta property=\"article:modified_time\" content=\"2023-04-21T11:31:05+00:00\" \/>\n<meta property=\"og:image\" content=\"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg\" \/>\n\t<meta property=\"og:image:width\" content=\"1920\" \/>\n\t<meta property=\"og:image:height\" content=\"1008\" \/>\n\t<meta property=\"og:image:type\" content=\"image\/jpeg\" \/>\n<meta name=\"twitter:card\" content=\"summary_large_image\" \/>\n<meta name=\"twitter:site\" content=\"@InfinityLearn_\" \/>\n<!-- \/ Yoast SEO plugin. -->","yoast_head_json":{"title":"A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be : - Infinity Learn by Sri Chaitanya","description":"A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be - Option - (D) 4\u03c02mn2","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:\/\/infinitylearn.com\/surge\/question\/physics\/a-particle-of-massmis-executing-shm-if-amplitude-isaa\/","og_locale":"en_US","og_type":"article","og_title":"A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be : - Infinity Learn by Sri Chaitanya","og_description":"A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be - Option - (D) 4\u03c02mn2","og_url":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-particle-of-massmis-executing-shm-if-amplitude-isaa\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_modified_time":"2023-04-21T11:31:05+00:00","og_image":[{"width":1920,"height":1008,"url":"https:\/\/infinitylearn.com\/surge\/wp-content\/uploads\/2025\/04\/infinitylearn.jpg","type":"image\/jpeg"}],"twitter_card":"summary_large_image","twitter_site":"@InfinityLearn_","schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"Organization","@id":"https:\/\/infinitylearn.com\/surge\/#organization","name":"Infinity Learn","url":"https:\/\/infinitylearn.com\/surge\/","sameAs":["https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","https:\/\/www.instagram.com\/infinitylearn_by_srichaitanya\/","https:\/\/www.linkedin.com\/company\/infinity-learn-by-sri-chaitanya\/","https:\/\/www.youtube.com\/c\/InfinityLearnEdu","https:\/\/twitter.com\/InfinityLearn_"],"logo":{"@type":"ImageObject","@id":"https:\/\/infinitylearn.com\/surge\/#logo","inLanguage":"en-US","url":"","contentUrl":"","caption":"Infinity Learn"},"image":{"@id":"https:\/\/infinitylearn.com\/surge\/#logo"}},{"@type":"WebSite","@id":"https:\/\/infinitylearn.com\/surge\/#website","url":"https:\/\/infinitylearn.com\/surge\/","name":"Infinity Learn by Sri Chaitanya","description":"Surge","publisher":{"@id":"https:\/\/infinitylearn.com\/surge\/#organization"},"potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/infinitylearn.com\/surge\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"WebPage","@id":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-particle-of-massmis-executing-shm-if-amplitude-isaa\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-particle-of-massmis-executing-shm-if-amplitude-isaa\/","name":"A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be : - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"datePublished":"2022-09-10T03:31:53+00:00","dateModified":"2023-04-21T11:31:05+00:00","description":"A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be - Option - (D) 4\u03c02mn2","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-particle-of-massmis-executing-shm-if-amplitude-isaa\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/question\/physics\/a-particle-of-massmis-executing-shm-if-amplitude-isaa\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-particle-of-massmis-executing-shm-if-amplitude-isaa\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"A particle of mass\u00a0m\u00a0is executing S.H.M. If amplitude is\u00a0a\u00a0and frequency\u00a0n, the value of its force constant will be :"}]}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/questions\/246250"}],"collection":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/questions"}],"about":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/types\/questions"}],"author":[{"embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/users\/1"}],"wp:attachment":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/media?parent=246250"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=246250"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}