{"id":88287,"date":"2025-06-01T07:07:09","date_gmt":"2025-06-01T07:07:09","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=88287"},"modified":"2025-06-01T07:07:09","modified_gmt":"2025-06-01T07:07:09","slug":"which-one-of-the-following-statements-is-correct-29","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-statements-is-correct-29\/","title":{"rendered":"Which one of the following statements is correct?"},"content":{"rendered":"

Which one of the following statements is correct?<\/p>\n

[amp_mcq option1=”The speed of sound waves in a medium depends upon the elastic property of the medium but not on inertia property.” option2=”The speed of sound waves in a medium depends upon the inertia property of the medium but not on elastic property.” option3=”The speed of sound waves in a medium depends neither on its elastic property nor on its inertia property.” option4=”The speed of sound waves in a medium depends both on elastic and inertia properties of the medium.” correct=”option4″]<\/p>\n

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This question was previously asked in<\/div>\n
UPSC NDA-2 – 2016<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
The speed of sound waves in a medium is determined by the medium’s properties related to elasticity and inertia. Sound waves are mechanical waves, meaning they propagate through a medium by causing particles of the medium to oscillate. The elastic property (like Bulk modulus or Young’s modulus) determines how easily the medium restores its shape or volume after being deformed by the wave. The inertia property (density) determines how much resistance the medium offers to changes in motion. The speed of sound increases with increasing elasticity and decreases with increasing density. Therefore, the speed of sound depends on both properties.<\/section>\n
Speed of mechanical waves depends on the elastic modulus and density of the medium. Higher elasticity allows faster propagation of disturbances. Higher density provides more inertia, resisting quick motion.<\/section>\n
The formula for the speed of sound in a fluid is $v = \\sqrt{B\/\\rho}$, where B is the Bulk modulus and $\\rho$ is the density. For a solid rod, $v = \\sqrt{Y\/\\rho}$, where Y is Young’s modulus. These formulas explicitly show dependence on both an elastic property and density.<\/section>\n","protected":false},"excerpt":{"rendered":"

Which one of the following statements is correct? [amp_mcq option1=”The speed of sound waves in a medium depends upon the elastic property of the medium but not on inertia property.” option2=”The speed of sound waves in a medium depends upon the inertia property of the medium but not on elastic property.” option3=”The speed of sound … <\/p>\n

Detailed SolutionWhich one of the following statements is correct?<\/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":[1098,1128,1147],"class_list":["post-88287","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-2","tag-1098","tag-physics","tag-sound","no-featured-image-padding"],"yoast_head":"\nWhich one of the following statements is correct?<\/title>\n<meta name=\"description\" content=\"The speed of sound waves in a medium is determined by the medium's properties related to elasticity and inertia. Sound waves are mechanical waves, meaning they propagate through a medium by causing particles of the medium to oscillate. The elastic property (like Bulk modulus or Young's modulus) determines how easily the medium restores its shape or volume after being deformed by the wave. The inertia property (density) determines how much resistance the medium offers to changes in motion. The speed of sound increases with increasing elasticity and decreases with increasing density. Therefore, the speed of sound depends on both properties. Speed of mechanical waves depends on the elastic modulus and density of the medium. Higher elasticity allows faster propagation of disturbances. Higher density provides more inertia, resisting quick motion.\" \/>\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\/which-one-of-the-following-statements-is-correct-29\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Which one of the following statements is correct?\" \/>\n<meta property=\"og:description\" content=\"The speed of sound waves in a medium is determined by the medium's properties related to elasticity and inertia. Sound waves are mechanical waves, meaning they propagate through a medium by causing particles of the medium to oscillate. The elastic property (like Bulk modulus or Young's modulus) determines how easily the medium restores its shape or volume after being deformed by the wave. The inertia property (density) determines how much resistance the medium offers to changes in motion. The speed of sound increases with increasing elasticity and decreases with increasing density. Therefore, the speed of sound depends on both properties. Speed of mechanical waves depends on the elastic modulus and density of the medium. Higher elasticity allows faster propagation of disturbances. Higher density provides more inertia, resisting quick motion.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-statements-is-correct-29\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T07:07:09+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":"Which one of the following statements is correct?","description":"The speed of sound waves in a medium is determined by the medium's properties related to elasticity and inertia. Sound waves are mechanical waves, meaning they propagate through a medium by causing particles of the medium to oscillate. The elastic property (like Bulk modulus or Young's modulus) determines how easily the medium restores its shape or volume after being deformed by the wave. The inertia property (density) determines how much resistance the medium offers to changes in motion. The speed of sound increases with increasing elasticity and decreases with increasing density. Therefore, the speed of sound depends on both properties. Speed of mechanical waves depends on the elastic modulus and density of the medium. Higher elasticity allows faster propagation of disturbances. Higher density provides more inertia, resisting quick motion.","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\/which-one-of-the-following-statements-is-correct-29\/","og_locale":"en_US","og_type":"article","og_title":"Which one of the following statements is correct?","og_description":"The speed of sound waves in a medium is determined by the medium's properties related to elasticity and inertia. Sound waves are mechanical waves, meaning they propagate through a medium by causing particles of the medium to oscillate. The elastic property (like Bulk modulus or Young's modulus) determines how easily the medium restores its shape or volume after being deformed by the wave. The inertia property (density) determines how much resistance the medium offers to changes in motion. The speed of sound increases with increasing elasticity and decreases with increasing density. Therefore, the speed of sound depends on both properties. Speed of mechanical waves depends on the elastic modulus and density of the medium. Higher elasticity allows faster propagation of disturbances. Higher density provides more inertia, resisting quick motion.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-statements-is-correct-29\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T07:07:09+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\/which-one-of-the-following-statements-is-correct-29\/","url":"https:\/\/exam.pscnotes.com\/mcq\/which-one-of-the-following-statements-is-correct-29\/","name":"Which one of the following statements is correct?","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T07:07:09+00:00","dateModified":"2025-06-01T07:07:09+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The speed of sound waves in a medium is determined by the medium's properties related to elasticity and inertia. Sound waves are mechanical waves, meaning they propagate through a medium by causing particles of the medium to oscillate. The elastic property (like Bulk modulus or Young's modulus) determines how easily the medium restores its shape or volume after being deformed by the wave. The inertia property (density) determines how much resistance the medium offers to changes in motion. The speed of sound increases with increasing elasticity and decreases with increasing density. Therefore, the speed of sound depends on both properties. Speed of mechanical waves depends on the elastic modulus and density of the medium. Higher elasticity allows faster propagation of disturbances. 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