{"id":259450,"date":"2022-09-10T12:15:01","date_gmt":"2022-09-10T06:45:01","guid":{"rendered":"https:\/\/infinitylearn.com\/surge\/question\/a-uniform-rope-of-length-l-and-mass-m1-hangs-vertically-from-a-rigid-support-a-block-of-mass-m2is-attached-to-the-free-end-of-the-rope-a-transverse-pulse-of-wavelength\/"},"modified":"2022-09-10T12:15:01","modified_gmt":"2022-09-10T06:45:01","slug":"a-uniform-rope-of-length-l-and-mass-m1-hangs-vertically-from-a-rigid-support-a-block-of-mass-m2is-attached-to-the-free-end-of-the-rope-a-transverse-pulse-of-wavelength","status":"publish","type":"questions","link":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-uniform-rope-of-lengthland-massm1hangs-vertically-from\/","title":{"rendered":"A uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is"},"content":{"rendered":"","protected":false},"author":1,"template":"","meta":{"_yoast_wpseo_focuskw":"","_yoast_wpseo_title":"","_yoast_wpseo_metadesc":"A uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is","custom_permalink":"question\/physics\/a-uniform-rope-of-lengthland-massm1hangs-vertically-from\/"},"categories":[],"acf":{"question":"<p>A uniform rope of length&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mi>L<\/mi><\/math>&nbsp;and mass&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msub><mi>m<\/mi><mn>1<\/mn><\/msub><\/math>&nbsp;hangs vertically from a rigid support. A block of mass&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msub><mi>m<\/mi><mn>2<\/mn><\/msub><\/math>is attached to the free end of the rope. A transverse pulse of wavelength&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msub><mi>\u03bb<\/mi><mn>1<\/mn><\/msub><\/math>&nbsp;is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msub><mi>\u03bb<\/mi><mn>2<\/mn><\/msub><\/math>. The ratio&nbsp;<math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mfrac><msub><mi>\u03bb<\/mi><mn>2<\/mn><\/msub><msub><mi>\u03bb<\/mi><mn>1<\/mn><\/msub><\/mfrac><\/math>&nbsp;is<\/p>","options":[{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msqrt><mfrac><msub><mi>m<\/mi><mn>2<\/mn><\/msub><msub><mi>m<\/mi><mn>1<\/mn><\/msub><\/mfrac><\/msqrt><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msqrt><mfrac><mrow><msub><mi>m<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>m<\/mi><mn>2<\/mn><\/msub><\/mrow><msub><mi>m<\/mi><mn>1<\/mn><\/msub><\/mfrac><\/msqrt><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msqrt><mfrac><msub><mi>m<\/mi><mn>1<\/mn><\/msub><msub><mi>m<\/mi><mn>2<\/mn><\/msub><\/mfrac><\/msqrt><\/math><\/p>","correct":false},{"option":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><msqrt><mfrac><mrow><msub><mi>m<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>m<\/mi><mn>2<\/mn><\/msub><\/mrow><msub><mi>m<\/mi><mn>2<\/mn><\/msub><\/mfrac><\/msqrt><\/math><\/p>","correct":true}],"solution":"<p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mtext>&nbsp;Wavelength of pulse at the lower&nbsp;<\/mtext><\/math><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mtext>&nbsp;end&nbsp;<\/mtext><mfenced><msub><mi>\u03bb<\/mi><mn>1<\/mn><\/msub><\/mfenced><mo>\u221d<\/mo><mtext>&nbsp;velocity&nbsp;<\/mtext><mfenced><msub><mi>v<\/mi><mn>1<\/mn><\/msub><\/mfenced><mo>=<\/mo><msqrt><mfrac><msub><mi>T<\/mi><mn>1<\/mn><\/msub><mi>\u03bc<\/mi><\/mfrac><\/msqrt><\/math><\/p><figure class=\"image\"><img 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xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mtext>&nbsp;Similarly,&nbsp;<\/mtext><msub><mi>\u03bb<\/mi><mn>2<\/mn><\/msub><mo>\u221d<\/mo><msub><mi>v<\/mi><mn>2<\/mn><\/msub><mo>=<\/mo><msqrt><mfrac><msub><mi>T<\/mi><mn>2<\/mn><\/msub><mi>\u03bc<\/mi><\/mfrac><\/msqrt><\/math><\/p><p><math xmlns=\"http:\/\/www.w3.org\/1998\/Math\/MathML\"><mo>\u2234<\/mo><mfrac><msub><mi>\u03bb<\/mi><mn>2<\/mn><\/msub><msub><mi>\u03bb<\/mi><mn>1<\/mn><\/msub><\/mfrac><mo>=<\/mo><msqrt><mfrac><msub><mi>T<\/mi><mn>2<\/mn><\/msub><msub><mi>T<\/mi><mn>1<\/mn><\/msub><\/mfrac><\/msqrt><mo>=<\/mo><msqrt><mfrac><mrow><mfenced><mrow><msub><mi>m<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>m<\/mi><mn>2<\/mn><\/msub><\/mrow><\/mfenced><mi>g<\/mi><\/mrow><mrow><msub><mi>m<\/mi><mn>2<\/mn><\/msub><mi>g<\/mi><\/mrow><\/mfrac><\/msqrt><mo>=<\/mo><msqrt><mfrac><mrow><msub><mi>m<\/mi><mn>1<\/mn><\/msub><mo>+<\/mo><msub><mi>m<\/mi><mn>2<\/mn><\/msub><\/mrow><msub><mi>m<\/mi><mn>2<\/mn><\/msub><\/mfrac><\/msqrt><\/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 uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is - Infinity Learn by Sri Chaitanya<\/title>\n<meta name=\"description\" content=\"A uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is\" \/>\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-uniform-rope-of-lengthland-massm1hangs-vertically-from\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is - Infinity Learn by Sri Chaitanya\" \/>\n<meta property=\"og:description\" content=\"A uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is\" \/>\n<meta property=\"og:url\" content=\"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-uniform-rope-of-lengthland-massm1hangs-vertically-from\/\" \/>\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=\"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 uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is - Infinity Learn by Sri Chaitanya","description":"A uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is","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-uniform-rope-of-lengthland-massm1hangs-vertically-from\/","og_locale":"en_US","og_type":"article","og_title":"A uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is - Infinity Learn by Sri Chaitanya","og_description":"A uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is","og_url":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-uniform-rope-of-lengthland-massm1hangs-vertically-from\/","og_site_name":"Infinity Learn by Sri Chaitanya","article_publisher":"https:\/\/www.facebook.com\/InfinityLearn.SriChaitanya\/","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-uniform-rope-of-lengthland-massm1hangs-vertically-from\/#webpage","url":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-uniform-rope-of-lengthland-massm1hangs-vertically-from\/","name":"A uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is - Infinity Learn by Sri Chaitanya","isPartOf":{"@id":"https:\/\/infinitylearn.com\/surge\/#website"},"datePublished":"2022-09-10T06:45:01+00:00","dateModified":"2022-09-10T06:45:01+00:00","description":"A uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is","breadcrumb":{"@id":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-uniform-rope-of-lengthland-massm1hangs-vertically-from\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/infinitylearn.com\/surge\/question\/physics\/a-uniform-rope-of-lengthland-massm1hangs-vertically-from\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/infinitylearn.com\/surge\/question\/physics\/a-uniform-rope-of-lengthland-massm1hangs-vertically-from\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/infinitylearn.com\/surge\/"},{"@type":"ListItem","position":2,"name":"A uniform rope of length\u00a0L\u00a0and mass\u00a0m1\u00a0hangs vertically from a rigid support. A block of mass\u00a0m2is attached to the free end of the rope. A transverse pulse of wavelength\u00a0\u03bb1\u00a0is produced at the lower end of the rope. The wavelength of the pulse when it reaches the top of the rope is\u00a0\u03bb2. The ratio\u00a0\u03bb2\u03bb1\u00a0is"}]}]}},"_links":{"self":[{"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/questions\/259450"}],"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=259450"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/infinitylearn.com\/surge\/wp-json\/wp\/v2\/categories?post=259450"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}