{"id":530201,"date":"2023-04-21T03:30:42","date_gmt":"2023-04-20T22:00:42","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/the-frequency-v-of-an-oscillating-liquid-drop-may-depend-upon-radius-r-of-the-drop-density-%cf%81-of-liquid-and-the-surface-tension-s-of-the-liquid-as-vra%cf%81bsc-the-values-2\/"},"modified":"2025-06-26T17:58:06","modified_gmt":"2025-06-26T12:28:06","slug":"the-frequency-v-of-an-oscillating-liquid-drop-may-depend-upon-radius-r-of-the-drop-density-%cf%81-of-liquid-and-the-surface-tension-s-of-the-liquid-as-vra%cf%81bsc-the-values-2","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-frequency-v-of-an-oscillating-liquid-drop-may-depend-u\/","title":{"rendered":"The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density\u00a0\u03c1\u00a0of liquid and the surface tension (s) of the liquid as :\u00a0v=ra\u03c1bsc. The values of a, b and c respectively are"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density\u00a0\u03c1\u00a0of liquid and the surface tension (s) of the liquid as :\u00a0v=ra\u03c1bsc. The values of a, b and c respectively are","custom_permalink":"question\/physics\/the-frequency-v-of-an-oscillating-liquid-drop-may-depend-u\/"},"categories":[],"acf":{"question":"<p><span>The frequency (<i>v<\/i>) of an oscillating liquid drop may depend upon radius (r) of the drop, density&nbsp;<\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mi>\u03c1<\/mi><\/mfenced><\/math><span>&nbsp;of liquid and the surface tension (s) of the liquid as :&nbsp;<\/span><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>v<\/mi><mo>=<\/mo><msup><mi>r<\/mi><mi>a<\/mi><\/msup><msup><mi>\u03c1<\/mi><mi>b<\/mi><\/msup><msup><mi>s<\/mi><mi>c<\/mi><\/msup><\/math><span>. The values of a, b and c respectively are<\/span><\/p>","options":[{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mrow><mo>\u2212<\/mo><mfrac><mn>3<\/mn><mn>2<\/mn><\/mfrac><mo>,<\/mo><mo>\u2212<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo>,<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mrow><\/mfenced><\/math><\/p>","correct":true},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mrow><mfrac><mn>3<\/mn><mn>2<\/mn><\/mfrac><mo>,<\/mo><mo>\u2212<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo>,<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mrow><\/mfenced><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mrow><mfrac><mn>3<\/mn><mn>2<\/mn><\/mfrac><mo>,<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo>,<\/mo><mo>\u2212<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mrow><\/mfenced><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfenced><mrow><mo>\u2212<\/mo><mfrac><mn>3<\/mn><mn>2<\/mn><\/mfrac><mo>,<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mo>,<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><\/mrow><\/mfenced><\/math><\/p>","correct":false}],"solution":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mtext>&nbsp;Let&nbsp;<\/mtext><mi>v<\/mi><mo>=<\/mo><mi>k<\/mi><msup><mi>r<\/mi><mi>a<\/mi><\/msup><msup><mi>\u03c1<\/mi><mi>b<\/mi><\/msup><msup><mi>s<\/mi><mi>c<\/mi><\/msup><mo>\u2026<\/mo><mo>(<\/mo><mi>i<\/mi><mo>)<\/mo><mspace linebreak=\"newline\">&nbsp;<\/mspace><mfenced separators=\"|\" close=\"]\" open=\"[\"><mrow><msup><mi>M<\/mi><mn>0<\/mn><\/msup><msup><mi>L<\/mi><mn>0<\/mn><\/msup><msup><mi>T<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><\/mrow><\/mfenced><mo>=<\/mo><msup><mi>L<\/mi><mi>a<\/mi><\/msup><msup><mfenced separators=\"|\"><mrow><mi>M<\/mi><msup><mi>L<\/mi><mrow><mo>\u2212<\/mo><mn>3<\/mn><\/mrow><\/msup><\/mrow><\/mfenced><mi>b<\/mi><\/msup><msup><mfenced separators=\"|\"><mrow><mi>M<\/mi><msup><mi>T<\/mi><mrow><mo>\u2212<\/mo><mn>2<\/mn><\/mrow><\/msup><\/mrow><\/mfenced><mi>c<\/mi><\/msup><mspace linebreak=\"newline\">&nbsp;<\/mspace><mfenced separators=\"|\" close=\"]\" open=\"[\"><mrow><msup><mi>M<\/mi><mn>0<\/mn><\/msup><msup><mi>L<\/mi><mn>0<\/mn><\/msup><msup><mi>T<\/mi><mrow><mo>\u2212<\/mo><mn>1<\/mn><\/mrow><\/msup><\/mrow><\/mfenced><mo>=<\/mo><msup><mi>M<\/mi><mrow><mi>b<\/mi><mo>+<\/mo><mi>c<\/mi><\/mrow><\/msup><msup><mi>L<\/mi><mrow><mi>a<\/mi><mo>\u2212<\/mo><mn>3<\/mn><mi>b<\/mi><\/mrow><\/msup><msup><mi>T<\/mi><mrow><mo>\u2212<\/mo><mn>2<\/mn><mi>a<\/mi><\/mrow><\/msup><mspace linebreak=\"newline\">&nbsp;<\/mspace><mo>\u2234<\/mo><mi>b<\/mi><mo>+<\/mo><mi>c<\/mi><mo>=<\/mo><mn>0<\/mn><mo>\u2026<\/mo><mo>(<\/mo><mi>i<\/mi><mi>i<\/mi><mo>)<\/mo><mspace linebreak=\"newline\">&nbsp;<\/mspace><mi>a<\/mi><mo>\u2212<\/mo><mn>3<\/mn><mi>b<\/mi><mo>=<\/mo><mn>0<\/mn><mo>\u2026<\/mo><mo>(<\/mo><mi>i<\/mi><mi>i<\/mi><mi>i<\/mi><mo>)<\/mo><mspace linebreak=\"newline\">&nbsp;<\/mspace><mo>\u2212<\/mo><mn>2<\/mn><mi>c<\/mi><mo>=<\/mo><mo>\u2212<\/mo><mn>1<\/mn><mo>,<\/mo><mo>\u2234<\/mo><mi>c<\/mi><mo>=<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mspace linebreak=\"newline\">&nbsp;<\/mspace><mtext>&nbsp;From (ii),&nbsp;<\/mtext><mi>b<\/mi><mo>=<\/mo><mo>\u2212<\/mo><mi>c<\/mi><mo>=<\/mo><mo>\u2212<\/mo><mfrac><mn>1<\/mn><mn>2<\/mn><\/mfrac><mspace linebreak=\"newline\">&nbsp;<\/mspace><mtext>&nbsp;from (iii),&nbsp;<\/mtext><mi>a<\/mi><mo>=<\/mo><mn>3<\/mn><mi>b<\/mi><mo>=<\/mo><mo>\u2212<\/mo><mfrac><mn>3<\/mn><mn>2<\/mn><\/mfrac><mspace linebreak=\"newline\">&nbsp;<\/mspace><\/math><\/p>","subject":"Physics"},"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v17.9 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density\u00a0\u03c1\u00a0of liquid and the surface tension (s) of the liquid as :\u00a0v=ra\u03c1bsc. The values of a, b and c respectively are - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density\u00a0\u03c1\u00a0of liquid and the surface tension (s) of the liquid as :\u00a0v=ra\u03c1bsc. The values of a, b and c respectively are\" \/>\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\/the-frequency-v-of-an-oscillating-liquid-drop-may-depend-u\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density\u00a0\u03c1\u00a0of liquid and the surface tension (s) of the liquid as :\u00a0v=ra\u03c1bsc. The values of a, b and c respectively are - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density\u00a0\u03c1\u00a0of liquid and the surface tension (s) of the liquid as :\u00a0v=ra\u03c1bsc. 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The values of a, b and c respectively are - Infinity Learn by Sri Chaitanya","description":"The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density\u00a0\u03c1\u00a0of liquid and the surface tension (s) of the liquid as :\u00a0v=ra\u03c1bsc. The values of a, b and c respectively are","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\/the-frequency-v-of-an-oscillating-liquid-drop-may-depend-u\/","og_locale":"en_US","og_type":"article","og_title":"The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density\u00a0\u03c1\u00a0of liquid and the surface tension (s) of the liquid as :\u00a0v=ra\u03c1bsc. The values of a, b and c respectively are - Infinity Learn by Sri Chaitanya","og_description":"The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density\u00a0\u03c1\u00a0of liquid and the surface tension (s) of the liquid as :\u00a0v=ra\u03c1bsc. The values of a, b and c respectively are","og_url":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-frequency-v-of-an-oscillating-liquid-drop-may-depend-u\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","article_modified_time":"2025-06-26T12:28:06+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\/the-frequency-v-of-an-oscillating-liquid-drop-may-depend-u\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-frequency-v-of-an-oscillating-liquid-drop-may-depend-u\/","name":"The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density\u00a0\u03c1\u00a0of liquid and the surface tension (s) of the liquid as :\u00a0v=ra\u03c1bsc. The values of a, b and c respectively are - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"datePublished":"2023-04-20T22:00:42+00:00","dateModified":"2025-06-26T12:28:06+00:00","description":"The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density\u00a0\u03c1\u00a0of liquid and the surface tension (s) of the liquid as :\u00a0v=ra\u03c1bsc. The values of a, b and c respectively are","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-frequency-v-of-an-oscillating-liquid-drop-may-depend-u\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/question\/physics\/the-frequency-v-of-an-oscillating-liquid-drop-may-depend-u\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/question\/physics\/the-frequency-v-of-an-oscillating-liquid-drop-may-depend-u\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"The frequency (v) of an oscillating liquid drop may depend upon radius (r) of the drop, density\u00a0\u03c1\u00a0of liquid and the surface tension (s) of the liquid as :\u00a0v=ra\u03c1bsc. The values of a, b and c respectively are"}]}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/questions\/530201"}],"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=530201"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=530201"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}