{"id":87247,"date":"2025-06-01T06:38:30","date_gmt":"2025-06-01T06:38:30","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=87247"},"modified":"2025-06-01T06:38:30","modified_gmt":"2025-06-01T06:38:30","slug":"ultrasonic-waves-of-frequency-3-x-10%e2%81%b5-hz-are-passed-through-a-medium-w","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/ultrasonic-waves-of-frequency-3-x-10%e2%81%b5-hz-are-passed-through-a-medium-w\/","title":{"rendered":"Ultrasonic waves of frequency 3 \u00d7 10\u2075 Hz are passed through a medium w"},"content":{"rendered":"

Ultrasonic waves of frequency 3 \u00d7 10\u2075 Hz are passed through a medium where speed of sound is 10 times that in air (Speed of sound in air is 300 m\/s). The wavelength of this wave in that medium will be of the order of<\/p>\n

[amp_mcq option1=”1 cm” option2=”10 cm” option3=”100 cm” option4=”0\u00b71 cm” correct=”option1″]<\/p>\n

\n
\n
This question was previously asked in<\/div>\n
UPSC NDA-1 – 2015<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
\nThe correct option is A. The wavelength will be of the order of 1 cm.
\n<\/section>\n
\nThe relationship between wave speed (v), frequency (f), and wavelength (\u03bb) is given by v = f\u03bb.
\nGiven frequency f = 3 \u00d7 10\u2075 Hz.
\nSpeed of sound in air v_air = 300 m\/s.
\nSpeed of sound in the medium v_medium = 10 \u00d7 v_air = 10 \u00d7 300 m\/s = 3000 m\/s.
\nWe need to find the wavelength \u03bb in the medium. Using the formula \u03bb = v_medium \/ f:
\n\u03bb = 3000 m\/s \/ (3 \u00d7 10\u2075 Hz) = 3000 \/ 300000 m = 1\/100 m = 0.01 m.
\n<\/section>\n
\nTo convert meters to centimeters, we multiply by 100:
\n0.01 m \u00d7 100 cm\/m = 1 cm.
\nThe wavelength of the ultrasonic wave in the given medium is 1 cm.
\n<\/section>\n","protected":false},"excerpt":{"rendered":"

Ultrasonic waves of frequency 3 \u00d7 10\u2075 Hz are passed through a medium where speed of sound is 10 times that in air (Speed of sound in air is 300 m\/s). The wavelength of this wave in that medium will be of the order of [amp_mcq option1=”1 cm” option2=”10 cm” option3=”100 cm” option4=”0\u00b71 cm” correct=”option1″] … <\/p>\n

Detailed SolutionUltrasonic waves of frequency 3 \u00d7 10\u2075 Hz are passed through a medium w<\/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":[1093],"tags":[1443,1128,1147],"class_list":["post-87247","post","type-post","status-publish","format-standard","hentry","category-upsc-nda-1","tag-1443","tag-physics","tag-sound","no-featured-image-padding"],"yoast_head":"\nUltrasonic waves of frequency 3 \u00d7 10\u2075 Hz are passed through a medium w<\/title>\n<meta name=\"description\" content=\"The correct option is A. The wavelength will be of the order of 1 cm. The relationship between wave speed (v), frequency (f), and wavelength (\u03bb) is given by v = f\u03bb. Given frequency f = 3 \u00d7 10\u2075 Hz. Speed of sound in air v_air = 300 m\/s. Speed of sound in the medium v_medium = 10 \u00d7 v_air = 10 \u00d7 300 m\/s = 3000 m\/s. We need to find the wavelength \u03bb in the medium. Using the formula \u03bb = v_medium \/ f: \u03bb = 3000 m\/s \/ (3 \u00d7 10\u2075 Hz) = 3000 \/ 300000 m = 1\/100 m = 0.01 m.\" \/>\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\/ultrasonic-waves-of-frequency-3-x-10\u2075-hz-are-passed-through-a-medium-w\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"Ultrasonic waves of frequency 3 \u00d7 10\u2075 Hz are passed through a medium w\" \/>\n<meta property=\"og:description\" content=\"The correct option is A. The wavelength will be of the order of 1 cm. The relationship between wave speed (v), frequency (f), and wavelength (\u03bb) is given by v = f\u03bb. Given frequency f = 3 \u00d7 10\u2075 Hz. Speed of sound in air v_air = 300 m\/s. Speed of sound in the medium v_medium = 10 \u00d7 v_air = 10 \u00d7 300 m\/s = 3000 m\/s. We need to find the wavelength \u03bb in the medium. Using the formula \u03bb = v_medium \/ f: \u03bb = 3000 m\/s \/ (3 \u00d7 10\u2075 Hz) = 3000 \/ 300000 m = 1\/100 m = 0.01 m.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/ultrasonic-waves-of-frequency-3-x-10\u2075-hz-are-passed-through-a-medium-w\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T06:38:30+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":"Ultrasonic waves of frequency 3 \u00d7 10\u2075 Hz are passed through a medium w","description":"The correct option is A. The wavelength will be of the order of 1 cm. The relationship between wave speed (v), frequency (f), and wavelength (\u03bb) is given by v = f\u03bb. Given frequency f = 3 \u00d7 10\u2075 Hz. Speed of sound in air v_air = 300 m\/s. Speed of sound in the medium v_medium = 10 \u00d7 v_air = 10 \u00d7 300 m\/s = 3000 m\/s. We need to find the wavelength \u03bb in the medium. Using the formula \u03bb = v_medium \/ f: \u03bb = 3000 m\/s \/ (3 \u00d7 10\u2075 Hz) = 3000 \/ 300000 m = 1\/100 m = 0.01 m.","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\/ultrasonic-waves-of-frequency-3-x-10\u2075-hz-are-passed-through-a-medium-w\/","og_locale":"en_US","og_type":"article","og_title":"Ultrasonic waves of frequency 3 \u00d7 10\u2075 Hz are passed through a medium w","og_description":"The correct option is A. The wavelength will be of the order of 1 cm. The relationship between wave speed (v), frequency (f), and wavelength (\u03bb) is given by v = f\u03bb. Given frequency f = 3 \u00d7 10\u2075 Hz. Speed of sound in air v_air = 300 m\/s. Speed of sound in the medium v_medium = 10 \u00d7 v_air = 10 \u00d7 300 m\/s = 3000 m\/s. We need to find the wavelength \u03bb in the medium. Using the formula \u03bb = v_medium \/ f: \u03bb = 3000 m\/s \/ (3 \u00d7 10\u2075 Hz) = 3000 \/ 300000 m = 1\/100 m = 0.01 m.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/ultrasonic-waves-of-frequency-3-x-10\u2075-hz-are-passed-through-a-medium-w\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T06:38:30+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\/ultrasonic-waves-of-frequency-3-x-10%e2%81%b5-hz-are-passed-through-a-medium-w\/","url":"https:\/\/exam.pscnotes.com\/mcq\/ultrasonic-waves-of-frequency-3-x-10%e2%81%b5-hz-are-passed-through-a-medium-w\/","name":"Ultrasonic waves of frequency 3 \u00d7 10\u2075 Hz are passed through a medium w","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T06:38:30+00:00","dateModified":"2025-06-01T06:38:30+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The correct option is A. The wavelength will be of the order of 1 cm. The relationship between wave speed (v), frequency (f), and wavelength (\u03bb) is given by v = f\u03bb. Given frequency f = 3 \u00d7 10\u2075 Hz. Speed of sound in air v_air = 300 m\/s. Speed of sound in the medium v_medium = 10 \u00d7 v_air = 10 \u00d7 300 m\/s = 3000 m\/s. We need to find the wavelength \u03bb in the medium. Using the formula \u03bb = v_medium \/ f: \u03bb = 3000 m\/s \/ (3 \u00d7 10\u2075 Hz) = 3000 \/ 300000 m = 1\/100 m = 0.01 m.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/ultrasonic-waves-of-frequency-3-x-10%e2%81%b5-hz-are-passed-through-a-medium-w\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/ultrasonic-waves-of-frequency-3-x-10%e2%81%b5-hz-are-passed-through-a-medium-w\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/ultrasonic-waves-of-frequency-3-x-10%e2%81%b5-hz-are-passed-through-a-medium-w\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC NDA-1","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-nda-1\/"},{"@type":"ListItem","position":3,"name":"Ultrasonic waves of frequency 3 \u00d7 10\u2075 Hz are passed through a medium w"}]},{"@type":"WebSite","@id":"https:\/\/exam.pscnotes.com\/mcq\/#website","url":"https:\/\/exam.pscnotes.com\/mcq\/","name":"MCQ and Quiz for Exams","description":"","potentialAction":[{"@type":"SearchAction","target":{"@type":"EntryPoint","urlTemplate":"https:\/\/exam.pscnotes.com\/mcq\/?s={search_term_string}"},"query-input":"required name=search_term_string"}],"inLanguage":"en-US"},{"@type":"Person","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209","name":"rawan239","image":{"@type":"ImageObject","inLanguage":"en-US","@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/image\/","url":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","contentUrl":"https:\/\/secure.gravatar.com\/avatar\/761a7274f9cce048fa5b921221e7934820d74514df93ef195a9d22af0c1c9001?s=96&d=mm&r=g","caption":"rawan239"},"sameAs":["https:\/\/exam.pscnotes.com"],"url":"https:\/\/exam.pscnotes.com\/mcq\/author\/rawan239\/"}]}},"amp_enabled":true,"_links":{"self":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/87247","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/comments?post=87247"}],"version-history":[{"count":0,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/posts\/87247\/revisions"}],"wp:attachment":[{"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/media?parent=87247"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/categories?post=87247"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/exam.pscnotes.com\/mcq\/wp-json\/wp\/v2\/tags?post=87247"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}