Will two separate 50-dB sounds together constitute a 100-dB sound? Explain.<\/p>\n\n\n\n
The correct answer and explanation is :<\/strong><\/mark><\/p>\n\n\n\n No, two separate 50-dB sounds together will not constitute a 100-dB sound. Instead, the combined sound level will be slightly higher than 50 dB, but far less than 100 dB.<\/p>\n\n\n\n Decibels (dB) are measured on a logarithmic scale<\/strong>, meaning that sound levels do not add arithmetically. Instead, when two sounds of equal intensity are combined, the total intensity increases by a specific logarithmic formula:<\/p>\n\n\n\n [ For two sounds of 50 dB each:<\/p>\n\n\n\n [ [ [ [ [ [ [ Thus, two 50-dB sounds together result in approximately 53 dB<\/strong>, not 100 dB.<\/p>\n\n\n\n So, even if you add multiple 50-dB sounds, you will never reach 100 dB<\/strong>\u2014you need a sound that is inherently 100 dB in intensity.<\/p>\n","protected":false},"excerpt":{"rendered":" Will two separate 50-dB sounds together constitute a 100-dB sound? Explain. The correct answer and explanation is : No, two separate 50-dB sounds together will not constitute a 100-dB sound. Instead, the combined sound level will be slightly higher than 50 dB, but far less than 100 dB. Explanation: Decibels (dB) are measured on a […]<\/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-201834","post","type-post","status-publish","format-standard","hentry","category-exams-certification"],"_links":{"self":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/201834","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=201834"}],"version-history":[{"count":0,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/posts\/201834\/revisions"}],"wp:attachment":[{"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/media?parent=201834"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/categories?post=201834"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.learnexams.com\/blog\/wp-json\/wp\/v2\/tags?post=201834"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Explanation:<\/h3>\n\n\n\n
L_{\\text{total}} = 10 \\log_{10} (10^{L_1\/10} + 10^{L_2\/10})
]<\/p>\n\n\n\n
L_{\\text{total}} = 10 \\log_{10} (10^{50\/10} + 10^{50\/10})
]<\/p>\n\n\n\n
= 10 \\log_{10} (10^5 + 10^5)
]<\/p>\n\n\n\n
= 10 \\log_{10} (2 \\times 10^5)
]<\/p>\n\n\n\n
= 10 [\\log_{10} (2) + \\log_{10} (10^5)]
]<\/p>\n\n\n\n
= 10 [0.301 + 5]
]<\/p>\n\n\n\n
= 10 \\times 5.301
]<\/p>\n\n\n\n
\\approx 53.01 \\text{ dB}
]<\/p>\n\n\n\nWhy Doesn’t It Double?<\/h3>\n\n\n\n
\n