{"id":89914,"date":"2025-06-01T10:17:09","date_gmt":"2025-06-01T10:17:09","guid":{"rendered":"https:\/\/exam.pscnotes.com\/mcq\/?p=89914"},"modified":"2025-06-01T10:17:09","modified_gmt":"2025-06-01T10:17:09","slug":"the-radius-of-a-hydrogen-atom-is-10-10-m-number-of-hydrogen-atoms-n","status":"publish","type":"post","link":"https:\/\/exam.pscnotes.com\/mcq\/the-radius-of-a-hydrogen-atom-is-10-10-m-number-of-hydrogen-atoms-n\/","title":{"rendered":"The radius of a hydrogen atom is 10 -10 m. Number of hydrogen atoms n"},"content":{"rendered":"

The radius of a hydrogen atom is 10-10<\/sup> m. Number of hydrogen atoms necessary to have a length of one nanometre is :<\/p>\n

[amp_mcq option1=”6.023 \u00d7 1023<\/sup>” option2=”10″ option3=”5″ option4=”100″ correct=”option3″]<\/p>\n

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This question was previously asked in<\/div>\n
UPSC CAPF – 2015<\/div>\n<\/div>\n
Download PDF<\/a>Attempt Online<\/a><\/div>\n<\/div>\n
The radius of a hydrogen atom is given as 10\u207b\u00b9\u2070 m. We want to find how many hydrogen atoms are needed to form a length of one nanometre (1 nm). One nanometre is equal to 10\u207b\u2079 metres. To arrange atoms side-by-side to achieve a certain length, we consider their effective diameter. The diameter of a hydrogen atom is approximately 2 times its radius, i.e., 2 * 10\u207b\u00b9\u2070 m. The number of atoms needed is the total length divided by the diameter of one atom: Number of atoms = (10\u207b\u2079 m) \/ (2 * 10\u207b\u00b9\u2070 m) = (10\u207b\u2079 \/ 10\u207b\u00b9\u2070) \/ 2 = 10 \/ 2 = 5.<\/section>\n
When stacking spherical objects (like atoms) linearly, the effective length occupied by each object is its diameter.<\/section>\n
The size of atoms is typically on the order of angstroms (1 \u00c5 = 10\u207b\u00b9\u2070 m). A nanometre (1 nm = 10\u207b\u2079 m = 10 \u00c5) is a unit of length often used in nanoscience and technology. This problem provides a basic illustration of scale conversion between atomic dimensions and nanometre scale.<\/section>\n","protected":false},"excerpt":{"rendered":"

The radius of a hydrogen atom is 10-10 m. Number of hydrogen atoms necessary to have a length of one nanometre is : [amp_mcq option1=”6.023 \u00d7 1023” option2=”10″ option3=”5″ option4=”100″ correct=”option3″] This question was previously asked in UPSC CAPF – 2015 Download PDFAttempt Online The radius of a hydrogen atom is given as 10\u207b\u00b9\u2070 m. … <\/p>\n

Detailed SolutionThe radius of a hydrogen atom is 10 -10 m. Number of hydrogen atoms n<\/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":[1085],"tags":[1443,1140,1128],"class_list":["post-89914","post","type-post","status-publish","format-standard","hentry","category-upsc-capf","tag-1443","tag-measurement-unit","tag-physics","no-featured-image-padding"],"yoast_head":"\nThe radius of a hydrogen atom is 10 -10 m. Number of hydrogen atoms n<\/title>\n<meta name=\"description\" content=\"The radius of a hydrogen atom is given as 10\u207b\u00b9\u2070 m. We want to find how many hydrogen atoms are needed to form a length of one nanometre (1 nm). One nanometre is equal to 10\u207b\u2079 metres. To arrange atoms side-by-side to achieve a certain length, we consider their effective diameter. The diameter of a hydrogen atom is approximately 2 times its radius, i.e., 2 * 10\u207b\u00b9\u2070 m. The number of atoms needed is the total length divided by the diameter of one atom: Number of atoms = (10\u207b\u2079 m) \/ (2 * 10\u207b\u00b9\u2070 m) = (10\u207b\u2079 \/ 10\u207b\u00b9\u2070) \/ 2 = 10 \/ 2 = 5. When stacking spherical objects (like atoms) linearly, the effective length occupied by each object is its diameter.\" \/>\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\/the-radius-of-a-hydrogen-atom-is-10-10-m-number-of-hydrogen-atoms-n\/\" \/>\n<meta property=\"og:locale\" content=\"en_US\" \/>\n<meta property=\"og:type\" content=\"article\" \/>\n<meta property=\"og:title\" content=\"The radius of a hydrogen atom is 10 -10 m. Number of hydrogen atoms n\" \/>\n<meta property=\"og:description\" content=\"The radius of a hydrogen atom is given as 10\u207b\u00b9\u2070 m. We want to find how many hydrogen atoms are needed to form a length of one nanometre (1 nm). One nanometre is equal to 10\u207b\u2079 metres. To arrange atoms side-by-side to achieve a certain length, we consider their effective diameter. The diameter of a hydrogen atom is approximately 2 times its radius, i.e., 2 * 10\u207b\u00b9\u2070 m. The number of atoms needed is the total length divided by the diameter of one atom: Number of atoms = (10\u207b\u2079 m) \/ (2 * 10\u207b\u00b9\u2070 m) = (10\u207b\u2079 \/ 10\u207b\u00b9\u2070) \/ 2 = 10 \/ 2 = 5. When stacking spherical objects (like atoms) linearly, the effective length occupied by each object is its diameter.\" \/>\n<meta property=\"og:url\" content=\"https:\/\/exam.pscnotes.com\/mcq\/the-radius-of-a-hydrogen-atom-is-10-10-m-number-of-hydrogen-atoms-n\/\" \/>\n<meta property=\"og:site_name\" content=\"MCQ and Quiz for Exams\" \/>\n<meta property=\"article:published_time\" content=\"2025-06-01T10:17:09+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":"The radius of a hydrogen atom is 10 -10 m. Number of hydrogen atoms n","description":"The radius of a hydrogen atom is given as 10\u207b\u00b9\u2070 m. We want to find how many hydrogen atoms are needed to form a length of one nanometre (1 nm). One nanometre is equal to 10\u207b\u2079 metres. To arrange atoms side-by-side to achieve a certain length, we consider their effective diameter. The diameter of a hydrogen atom is approximately 2 times its radius, i.e., 2 * 10\u207b\u00b9\u2070 m. The number of atoms needed is the total length divided by the diameter of one atom: Number of atoms = (10\u207b\u2079 m) \/ (2 * 10\u207b\u00b9\u2070 m) = (10\u207b\u2079 \/ 10\u207b\u00b9\u2070) \/ 2 = 10 \/ 2 = 5. When stacking spherical objects (like atoms) linearly, the effective length occupied by each object is its diameter.","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\/the-radius-of-a-hydrogen-atom-is-10-10-m-number-of-hydrogen-atoms-n\/","og_locale":"en_US","og_type":"article","og_title":"The radius of a hydrogen atom is 10 -10 m. Number of hydrogen atoms n","og_description":"The radius of a hydrogen atom is given as 10\u207b\u00b9\u2070 m. We want to find how many hydrogen atoms are needed to form a length of one nanometre (1 nm). One nanometre is equal to 10\u207b\u2079 metres. To arrange atoms side-by-side to achieve a certain length, we consider their effective diameter. The diameter of a hydrogen atom is approximately 2 times its radius, i.e., 2 * 10\u207b\u00b9\u2070 m. The number of atoms needed is the total length divided by the diameter of one atom: Number of atoms = (10\u207b\u2079 m) \/ (2 * 10\u207b\u00b9\u2070 m) = (10\u207b\u2079 \/ 10\u207b\u00b9\u2070) \/ 2 = 10 \/ 2 = 5. When stacking spherical objects (like atoms) linearly, the effective length occupied by each object is its diameter.","og_url":"https:\/\/exam.pscnotes.com\/mcq\/the-radius-of-a-hydrogen-atom-is-10-10-m-number-of-hydrogen-atoms-n\/","og_site_name":"MCQ and Quiz for Exams","article_published_time":"2025-06-01T10:17:09+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\/the-radius-of-a-hydrogen-atom-is-10-10-m-number-of-hydrogen-atoms-n\/","url":"https:\/\/exam.pscnotes.com\/mcq\/the-radius-of-a-hydrogen-atom-is-10-10-m-number-of-hydrogen-atoms-n\/","name":"The radius of a hydrogen atom is 10 -10 m. Number of hydrogen atoms n","isPartOf":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#website"},"datePublished":"2025-06-01T10:17:09+00:00","dateModified":"2025-06-01T10:17:09+00:00","author":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/#\/schema\/person\/5807dafeb27d2ec82344d6cbd6c3d209"},"description":"The radius of a hydrogen atom is given as 10\u207b\u00b9\u2070 m. We want to find how many hydrogen atoms are needed to form a length of one nanometre (1 nm). One nanometre is equal to 10\u207b\u2079 metres. To arrange atoms side-by-side to achieve a certain length, we consider their effective diameter. The diameter of a hydrogen atom is approximately 2 times its radius, i.e., 2 * 10\u207b\u00b9\u2070 m. The number of atoms needed is the total length divided by the diameter of one atom: Number of atoms = (10\u207b\u2079 m) \/ (2 * 10\u207b\u00b9\u2070 m) = (10\u207b\u2079 \/ 10\u207b\u00b9\u2070) \/ 2 = 10 \/ 2 = 5. When stacking spherical objects (like atoms) linearly, the effective length occupied by each object is its diameter.","breadcrumb":{"@id":"https:\/\/exam.pscnotes.com\/mcq\/the-radius-of-a-hydrogen-atom-is-10-10-m-number-of-hydrogen-atoms-n\/#breadcrumb"},"inLanguage":"en-US","potentialAction":[{"@type":"ReadAction","target":["https:\/\/exam.pscnotes.com\/mcq\/the-radius-of-a-hydrogen-atom-is-10-10-m-number-of-hydrogen-atoms-n\/"]}]},{"@type":"BreadcrumbList","@id":"https:\/\/exam.pscnotes.com\/mcq\/the-radius-of-a-hydrogen-atom-is-10-10-m-number-of-hydrogen-atoms-n\/#breadcrumb","itemListElement":[{"@type":"ListItem","position":1,"name":"Home","item":"https:\/\/exam.pscnotes.com\/mcq\/"},{"@type":"ListItem","position":2,"name":"UPSC CAPF","item":"https:\/\/exam.pscnotes.com\/mcq\/category\/upsc-capf\/"},{"@type":"ListItem","position":3,"name":"The radius of a hydrogen atom is 10 -10 m. 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