{"id":160207,"date":"2024-11-02T09:28:08","date_gmt":"2024-11-02T09:28:08","guid":{"rendered":"https:\/\/learnexams.com\/blog\/?p=160207"},"modified":"2024-11-02T09:28:10","modified_gmt":"2024-11-02T09:28:10","slug":"what-is-the-velocity-if-the-wavelength-is-1m-and-the-frequency-is-345hz","status":"publish","type":"post","link":"https:\/\/www.learnexams.com\/blog\/2024\/11\/02\/what-is-the-velocity-if-the-wavelength-is-1m-and-the-frequency-is-345hz\/","title":{"rendered":"What is the velocity if the wavelength is 1m and the frequency is 345Hz"},"content":{"rendered":"\n<p>What is the velocity if the wavelength is 1m and the frequency is 345Hz?<\/p>\n\n\n\n<p><strong><mark style=\"background-color:rgba(0, 0, 0, 0)\" class=\"has-inline-color has-ast-global-color-6-color\">The Correct Answer and Explanation is:<\/mark><\/strong><\/p>\n\n\n\n<p>To find the velocity of a wave when the wavelength and frequency are known, we can use the fundamental wave equation:<\/p>\n\n\n\n<p>[<br>v = f \\lambda<br>]<\/p>\n\n\n\n<p>where:<\/p>\n\n\n\n<ul class=\"wp-block-list\">\n<li>(v) is the velocity of the wave,<\/li>\n\n\n\n<li>(f) is the frequency,<\/li>\n\n\n\n<li>(\\lambda) is the wavelength.<\/li>\n<\/ul>\n\n\n\n<p>In this case, the wavelength (\\lambda) is given as 1 meter, and the frequency (f) is given as 345 Hz.<\/p>\n\n\n\n<p><strong>Step-by-step Calculation:<\/strong><\/p>\n\n\n\n<ol class=\"wp-block-list\">\n<li><strong>Substitute the values into the wave equation:<\/strong> [<br>v = 345 \\, \\text{Hz} \\times 1 \\, \\text{m}<br>]<\/li>\n\n\n\n<li><strong>Perform the multiplication:<\/strong> [<br>v = 345 \\, \\text{m\/s}<br>]<\/li>\n<\/ol>\n\n\n\n<p>Thus, the velocity of the wave is <strong>345 meters per second (m\/s)<\/strong>.<\/p>\n\n\n\n<h3 class=\"wp-block-heading\">Explanation<\/h3>\n\n\n\n<p>The relationship between wavelength, frequency, and velocity is crucial in wave physics. The velocity of a wave is determined by how fast the wave oscillates (frequency) and the distance between successive peaks (wavelength).<\/p>\n\n\n\n<p><strong>Frequency<\/strong> is measured in hertz (Hz), which represents cycles per second. Thus, if a wave has a frequency of 345 Hz, it means that 345 cycles of the wave pass a given point in one second.<\/p>\n\n\n\n<p><strong>Wavelength<\/strong>, measured in meters, indicates the physical distance over which the wave&#8217;s shape repeats. In this scenario, a wavelength of 1 meter signifies that each complete wave occupies a distance of 1 meter in space.<\/p>\n\n\n\n<p>The equation (v = f \\lambda) showcases the direct relationship among these three quantities: as frequency increases, the wavelength typically decreases, maintaining a constant velocity for a given medium. For instance, sound waves traveling through air at a frequency of 345 Hz have a wavelength of 1 meter, allowing us to determine their propagation speed as 345 m\/s.<\/p>\n\n\n\n<p>This relationship is not only fundamental in physics but also practical in various applications, including acoustics, optics, and telecommunications, where understanding wave behavior is essential for effective design and analysis.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>What is the velocity if the wavelength is 1m and the frequency is 345Hz? The Correct Answer and Explanation is: To find the velocity of a wave when the wavelength and frequency are known, we can use the fundamental wave equation: [v = f \\lambda] where: In this case, the wavelength (\\lambda) is given as [&hellip;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"site-sidebar-layout":"default","site-content-layout":"","ast-site-content-layout":"default","site-content-style":"default","site-sidebar-style":"default","ast-global-header-display":"","ast-banner-title-visibility":"","ast-main-header-display":"","ast-hfb-above-header-display":"","ast-hfb-below-header-display":"","ast-hfb-mobile-header-display":"","site-post-title":"","ast-breadcrumbs-content":"","ast-featured-img":"","footer-sml-layout":"","ast-disable-related-posts":"","theme-transparent-header-meta":"","adv-header-id-meta":"","stick-header-meta":"","header-above-stick-meta":"","header-main-stick-meta":"","header-below-stick-meta":"","astra-migrate-meta-layouts":"default","ast-page-background-enabled":"default","ast-page-background-meta":{"desktop":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"ast-content-background-meta":{"desktop":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"tablet":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""},"mobile":{"background-color":"var(--ast-global-color-5)","background-image":"","background-repeat":"repeat","background-position":"center center","background-size":"auto","background-attachment":"scroll","background-type":"","background-media":"","overlay-type":"","overlay-color":"","overlay-opacity":"","overlay-gradient":""}},"footnotes":""},"categories":[25],"tags":[],"class_list":["post-160207","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160207","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/comments?post=160207"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/160207\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=160207"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=160207"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=160207"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}