{"id":47112,"date":"2024-04-15T22:22:06","date_gmt":"2024-04-15T22:22:06","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=47112"},"modified":"2024-04-15T22:22:06","modified_gmt":"2024-04-15T22:22:06","slug":"a-signal-containing-only-two-frequency-components-3-khz-and-6-khz-is-sampled-at-the-rate-of-8-khz-and-then-passed-through-a-low-pass-filter-with-a-cut-off-frequency-of-8-khz-the-filter-output","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/a-signal-containing-only-two-frequency-components-3-khz-and-6-khz-is-sampled-at-the-rate-of-8-khz-and-then-passed-through-a-low-pass-filter-with-a-cut-off-frequency-of-8-khz-the-filter-output\/","title":{"rendered":"A signal containing only two frequency components (3 kHz and 6 kHz) is sampled at the rate of 8 kHz, and then passed through a low pass filter with a cut-off frequency of 8 kHz. The filter output"},"content":{"rendered":"<p>[amp_mcq option1=&#8221;Is an undistorted version of the original signal&#8221; option2=&#8221;Contains only the 3 kHz component&#8221; option3=&#8221;Contains the 3 kHz component and a spurious component of 2 kHz&#8221; option4=&#8221;Contains both the components of the original signal and two spurious components of 2 kHz and 5 kHz&#8221; correct=&#8221;option2&#8243;]<!--more--><\/p>\n<p>The correct answer is: <strong>B. Contains only the 3 kHz component<\/strong>.<\/p>\n<p>A signal containing only two frequency components (3 kHz and 6 kHz) is sampled at the rate of 8 kHz. This means that the signal is converted into a series of numbers, each of which represents the amplitude of the signal at a particular point in time. The sampling rate is 8 kHz, which means that the signal is sampled 8,000 times per second.<\/p>\n<p>The signal is then passed through a low pass filter with a cut-off frequency of 8 kHz. A low pass filter allows frequencies below the cut-off frequency to pass through, while frequencies above the cut-off frequency are attenuated. In this case, the cut-off frequency is 8 kHz, so the filter will allow the 3 kHz component to pass through, while the 6 kHz component will be attenuated.<\/p>\n<p>The output of the filter will therefore contain only the 3 kHz component. The 6 kHz component will have been attenuated by the filter and will not be present in the output.<\/p>\n<p>Option A is incorrect because the output of the filter is not an undistorted version of the original signal. The 6 kHz component has been attenuated by the filter and is not present in the output.<\/p>\n<p>Option C is incorrect because the output of the filter contains only the 3 kHz component, not the 3 kHz component and a spurious component of 2 kHz.<\/p>\n<p>Option D is incorrect because the output of the filter contains only the 3 kHz component, not both the components of the original signal and two spurious components of 2 kHz and 5 kHz.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>[amp_mcq option1=&#8221;Is an undistorted version of the original signal&#8221; option2=&#8221;Contains only the 3 kHz component&#8221; option3=&#8221;Contains the 3 kHz component and a spurious component of 2 kHz&#8221; option4=&#8221;Contains both the components of the original signal and two spurious components of 2 kHz and 5 kHz&#8221; correct=&#8221;option2&#8243;]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[959],"tags":[],"class_list":["post-47112","post","type-post","status-publish","format-standard","hentry","category-signal-processing","no-featured-image-padding"],"yoast_head":"<!-- This site is optimized with the Yoast SEO Premium plugin v22.2 (Yoast SEO v23.3) - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>A signal containing only two frequency components (3 kHz and 6 kHz) is sampled at the rate of 8 kHz, and then passed through a low pass filter with a cut-off frequency of 8 kHz. The filter output<\/title>\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\/a-signal-containing-only-two-frequency-components-3-khz-and-6-khz-is-sampled-at-the-rate-of-8-khz-and-then-passed-through-a-low-pass-filter-with-a-cut-off-frequency-of-8-khz-the-filter-output\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"A signal containing only two frequency components (3 kHz and 6 kHz) is sampled at the rate of 8 kHz, and then passed through a low pass filter with a cut-off frequency of 8 kHz. 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The filter output","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\/a-signal-containing-only-two-frequency-components-3-khz-and-6-khz-is-sampled-at-the-rate-of-8-khz-and-then-passed-through-a-low-pass-filter-with-a-cut-off-frequency-of-8-khz-the-filter-output\/","og_locale":"en_US","og_type":"article","og_title":"A signal containing only two frequency components (3 kHz and 6 kHz) is sampled at the rate of 8 kHz, and then passed through a low pass filter with a cut-off frequency of 8 kHz. The filter output","og_description":"[amp_mcq option1=&#8221;Is an undistorted version of the original signal&#8221; option2=&#8221;Contains only the 3 kHz component&#8221; option3=&#8221;Contains the 3 kHz component and a spurious component of 2 kHz&#8221; option4=&#8221;Contains both the components of the original signal and two spurious components of 2 kHz and 5 kHz&#8221; correct=&#8221;option2&#8243;]","og_url":"https:\/\/exam.pscnotes.com\/mcq\/a-signal-containing-only-two-frequency-components-3-khz-and-6-khz-is-sampled-at-the-rate-of-8-khz-and-then-passed-through-a-low-pass-filter-with-a-cut-off-frequency-of-8-khz-the-filter-output\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2024-04-15T22:22:06+00:00","author":"rawan239","twitter_card":"summary_large_image","twitter_misc":{"Written by":"rawan239","Est. reading time":"2 minutes"},"schema":{"@context":"https:\/\/schema.org","@graph":[{"@type":"WebPage","@id":"https:\/\/exam.pscnotes.com\/mcq\/a-signal-containing-only-two-frequency-components-3-khz-and-6-khz-is-sampled-at-the-rate-of-8-khz-and-then-passed-through-a-low-pass-filter-with-a-cut-off-frequency-of-8-khz-the-filter-output\/","url":"https:\/\/exam.pscnotes.com\/mcq\/a-signal-containing-only-two-frequency-components-3-khz-and-6-khz-is-sampled-at-the-rate-of-8-khz-and-then-passed-through-a-low-pass-filter-with-a-cut-off-frequency-of-8-khz-the-filter-output\/","name":"A signal containing only two frequency components (3 kHz and 6 kHz) is sampled at the rate of 8 kHz, and then passed through a low pass filter with a cut-off frequency of 8 kHz. 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