{"id":3171,"date":"2018-06-24T04:29:43","date_gmt":"2018-06-24T11:29:43","guid":{"rendered":"https:\/\/gurumuda.net\/physics\/?p=3171"},"modified":"2018-06-24T04:29:43","modified_gmt":"2018-06-24T11:29:43","slug":"the-international-system-of-units-unit-prefixes-problems-and-solutions","status":"publish","type":"post","link":"https:\/\/gurumuda.net\/physics\/the-international-system-of-units-unit-prefixes-problems-and-solutions.htm","title":{"rendered":"The International system of units Unit Prefixes \u2013 Problems and Solutions","gt_translate_keys":[{"key":"rendered","format":"text"}]},"content":{"rendered":"

6 The International System of Units Unit Prefixes \u2013 Problems and Solutions<\/strong><\/p>\n

The International System<\/em> of Units<\/em><\/u><\/span><\/span><\/p>\n

1. Which of the following units is not a unit of length<\/span><\/span><\/span><\/p>\n

A. Mil<\/span><\/span><\/p>\n

B. Foot<\/span><\/span><\/p>\n

C. Inch<\/span><\/span><\/p>\n

D. Knot<\/span><\/span><\/p>\n

Solution :<\/span><\/span><\/span><\/p>\n

Mil, foot, and inch are units of length. <\/span><\/span><\/p>\n

The knot is a unit of velocity or speed.<\/span><\/span><\/p>\n

The correct answer is D.<\/span><\/span><\/p>\n

2. <\/span><\/span>Determine the unit of the international system of Young’s modulus <\/a><\/span><\/span><\/p>\n

A. kg.m\/s<\/span><\/span>2<\/span><\/span><\/sup><\/p>\n

B. kg\/m.s<\/span><\/span>2<\/span><\/span><\/sup><\/p>\n

C. m\/kg.s<\/span><\/span>2<\/span><\/span><\/sup><\/p>\n

D. kg.s<\/span><\/span>2<\/span><\/span><\/sup>\/m<\/span><\/span><\/p>\n

Known :<\/span><\/span><\/u><\/p>\n

Unit of force <\/span><\/span>= kg m\/s<\/span><\/span>2<\/span><\/span><\/sup><\/p>\n

Unit of area <\/span><\/span>= m<\/span><\/span>2<\/span><\/span><\/sup><\/p>\n

Unit of length <\/span><\/span>= m<\/span><\/span><\/p>\n

Wanted:<\/u><\/span><\/span> The unit of the international system of <\/span><\/span>Young<\/span><\/span>‘s modulus.<\/span><\/span><\/p>\n

Solution :<\/span><\/span><\/u><\/p>\n

\"The<\/p>\n

The correct answer is <\/span><\/span>B.<\/span><\/span><\/p>\n

3. <\/span><\/span>Quantity has unit <\/span><\/span>kg.m<\/span><\/span>-1<\/span><\/span><\/sup>.s<\/span><\/span>-2<\/span><\/span><\/sup> is\u2026<\/span><\/span><\/p>\n

A. <\/span><\/span>Pressure<\/span><\/span><\/p>\n

B. <\/span><\/span>Energy<\/span><\/span><\/p>\n

C. Momentum<\/a><\/span><\/span><\/p>\n

D. <\/span><\/span>Acceleration<\/span><\/span><\/p>\n

Solution :<\/span><\/span><\/u><\/p>\n

Pressure <\/span><\/span><\/a>= <\/span><\/span>Force<\/span><\/span> \/ <\/span><\/span>Area<\/span><\/span><\/p>\n

The international unit of force is <\/span><\/span>kg m\/s<\/span><\/span>2<\/span><\/span><\/sup><\/p>\n

The international unit of area is <\/span><\/span>m<\/span><\/span>2<\/span><\/span><\/sup><\/p>\n

The international unit of pressure <\/span><\/span>= kg \/m s<\/span><\/span>2 <\/span><\/span><\/sup>= kg m<\/span><\/span>-1<\/span><\/span><\/sup> s<\/span><\/span>-2<\/span><\/span><\/sup><\/p>\n

Energy<\/span><\/span> = <\/span><\/span>Work<\/span><\/span><\/p>\n

Work <\/span><\/span><\/a>= <\/span><\/span>Force<\/span><\/span> x <\/span><\/span>Displacement<\/span><\/span><\/p>\n

The international unit of force is <\/span><\/span>kilogram meter per <\/span><\/span>second squared<\/span><\/span> (kg m\/s<\/span><\/span>2<\/span><\/span><\/sup>) <\/span><\/span><\/p>\n

The international unit of displacement<\/a> is <\/span><\/span>a meter (m)<\/span><\/span><\/p>\n

So, the international unit of energy = unit of work <\/span><\/span>= kg m<\/span><\/span>2<\/span><\/span><\/sup>\/s<\/span><\/span>2<\/span><\/span><\/sup> = kg m<\/span><\/span>2<\/span><\/span><\/sup> s<\/span><\/span>-2<\/span><\/span><\/sup><\/p>\n

Momentum = Mass <\/span><\/span>x velocity<\/span><\/span><\/p>\n

The international unit of mass is <\/span><\/span>kg<\/span><\/span><\/p>\n

The international unit of velocity is <\/span><\/span>m\/s<\/span><\/span><\/p>\n

So, the international unit of momentum is <\/span><\/span>kg m\/s = kg m s<\/span><\/span>-1<\/span><\/span><\/sup><\/p>\n

Acceleration <\/span><\/span>= <\/span><\/span>velocity<\/span><\/span> \/ <\/span><\/span>time interval<\/span><\/span><\/p>\n

The international unit of velocity is m<\/span><\/span>eter\/<\/span><\/span>second <\/span><\/span>(m\/s)<\/span><\/span><\/p>\n

The international unit of time is second<\/span><\/span> (s)<\/span><\/span><\/p>\n

Therefore, the international unit of acceleration is <\/span><\/span>m\/s : s = m\/s x 1\/s = m\/s<\/span><\/span>2<\/span><\/span><\/sup> = m s<\/span><\/span>-2<\/span><\/span><\/sup><\/p>\n

The correct answer is A.<\/span><\/span><\/p>\n

4. <\/span><\/span>The international unit of power<\/a> is\u2026<\/span><\/span><\/p>\n

A. kg m<\/span><\/span>2<\/span><\/span><\/sup> s<\/span><\/span>-2<\/span><\/span><\/sup><\/p>\n

B. kg m<\/span><\/span>2<\/span><\/span><\/sup> s<\/span><\/span>-3<\/span><\/span><\/sup><\/p>\n

C. g cm<\/span><\/span>2<\/span><\/span><\/sup> s<\/span><\/span>-1<\/span><\/span><\/sup><\/p>\n

D. g cm s<\/span><\/span>-3<\/span><\/span><\/sup><\/p>\n

Solution :<\/span><\/span><\/p>\n

Power <\/span><\/span>= <\/span><\/span>Work<\/span><\/span> \/ <\/span><\/span>time<\/span><\/span><\/p>\n

The international unit of work is <\/span><\/span>kilogram meter <\/span><\/span>squared <\/span><\/span>per se<\/span><\/span>cond squared <\/span><\/span>(kg m<\/span><\/span>2<\/span><\/span><\/sup>\/s<\/span><\/span>2<\/span><\/span><\/sup>) <\/span><\/span><\/p>\n

The international unit of time is <\/span><\/span>se<\/span><\/span>cond <\/span><\/span>(s)<\/span><\/span><\/p>\n

So, the unit of power is <\/span><\/span>kg m<\/span><\/span>2<\/span><\/span><\/sup>\/s<\/span><\/span>3<\/span><\/span><\/sup> = kg m<\/span><\/span>2<\/span><\/span><\/sup> s<\/span><\/span>-3<\/span><\/span><\/sup><\/p>\n

The correct answer is <\/span><\/span>B. <\/span><\/span><\/p>\n

Unit Prefixes<\/span><\/u><\/span><\/p>\n

5. The order of prefix for units from big to small <\/span>that <\/span>correct is\u2026<\/span><\/span><\/span><\/p>\n

A. Mega, tera, nano, pico<\/span><\/span><\/p>\n

B. Giga, Mega, Micro, nano<\/span><\/span><\/p>\n

C. Pico, Nano, Mega, Tera<\/span><\/span><\/p>\n

D. Mega, Tera, Micro, Pico<\/span><\/span><\/p>\n

Solution :<\/span><\/span><\/p>\n

\"The<\/p>\n

The correct answer is <\/span><\/span>B.<\/span><\/span><\/p>\n

6. A micro century is the same as \u2026.<\/span><\/span><\/span><\/p>\n

A. 1 hour<\/span><\/span><\/p>\n

B. 90 minutes<\/span><\/span><\/p>\n

C. 52 m<\/span><\/span>inutes<\/span><\/span><\/p>\n

D. 4000 se<\/span><\/span>conds<\/span><\/span><\/p>\n

Known :<\/span><\/span><\/u><\/p>\n

1 <\/span><\/span>day<\/span><\/span> = 24 <\/span><\/span>hours<\/span><\/span><\/p>\n

1 <\/span><\/span>hour<\/span><\/span> = 60 m<\/span><\/span>inutes<\/span><\/span><\/p>\n

1 m<\/span><\/span>inutes <\/span><\/span>= 60 <\/span><\/span>seconds<\/span><\/span><\/p>\n

1 <\/span><\/span>day<\/span><\/span> = 24 x 60 <\/span><\/span>minutes<\/span><\/span> = 1440 m<\/span><\/span>inutes<\/span><\/span><\/p>\n

1 <\/span><\/span>day<\/span><\/span>= 1440 x 60 <\/span><\/span>seconds<\/span><\/span> = 86,400 <\/span><\/span>seconds<\/span><\/span><\/p>\n

Wanted :<\/u><\/span><\/span> 1 mi<\/span><\/span>c<\/span><\/span>ro <\/span><\/span>century<\/span><\/span> = ….. <\/span><\/span>hours<\/span><\/span> = ….. <\/span><\/span>minutes<\/span><\/span> = ….. <\/span><\/span>seconds<\/span><\/span><\/p>\n

Solution :<\/span><\/span><\/u><\/p>\n

1 mi<\/span><\/span>c<\/span><\/span>ro = 10<\/span><\/span>-6<\/span><\/span><\/sup><\/p>\n

1 mi<\/span><\/span>c<\/span><\/span>ro <\/span><\/span>century <\/span><\/span>= 10<\/span><\/span>-6<\/span><\/span><\/sup> century = 0.000,001 <\/span><\/span>centuries<\/span><\/span><\/p>\n

1 <\/span><\/span>century<\/span><\/span> = 100 <\/span><\/span>years<\/span><\/span> = 100 x 365 <\/span><\/span>years<\/span><\/span>= 36,500 <\/span><\/span>years<\/span><\/span><\/p>\n

1 mi<\/span><\/span>c<\/span><\/span>ro <\/span><\/span>century <\/span><\/span>= 0.000,001 x 36,500 <\/span><\/span>days<\/span><\/span> = 0.0365 <\/span><\/span>days<\/span><\/span><\/p>\n

1 mi<\/span><\/span>c<\/span><\/span>ro <\/span><\/span>century<\/span><\/span> = 0.0365 x 24 <\/span><\/span>hours<\/span><\/span> = 0.876 <\/span><\/span>hours<\/span><\/span><\/p>\n

1 mi<\/span><\/span>c<\/span><\/span>ro <\/span><\/span>century<\/span><\/span> = 0.876 x 60 <\/span><\/span>minutes <\/span><\/span>= 52.56 <\/span><\/span>minutes<\/span><\/span><\/p>\n

1 mi<\/span><\/span>c<\/span><\/span>ro <\/span><\/span>century<\/span><\/span> = 52.56 x 60 <\/span><\/span>seconds <\/span><\/span>= 3153.6 <\/span><\/span>seconds<\/span><\/span><\/p>\n

The correct answer is <\/span><\/span>C.<\/span><\/span><\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"excerpt":{"rendered":"

6 The International System of Units Unit Prefixes \u2013 Problems and Solutions The International System of Units 1. Which of the following units is not a unit of length A. Mil B. Foot C. Inch D. Knot<\/p>\n","protected":false,"gt_translate_keys":[{"key":"rendered","format":"html"}]},"author":1,"featured_media":0,"comment_status":"open","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"_seopress_titles_title":"","_seopress_titles_desc":"","_seopress_robots_index":"","_seopress_robots_follow":"","_seopress_robots_imageindex":"","_seopress_robots_snippet":"","_seopress_robots_primary_cat":"","_seopress_robots_breadcrumbs":"","_seopress_robots_freeze_modified_date":"","_seopress_robots_custom_modified_date":"","_seopress_robots_canonical":"","_seopress_social_fb_title":"","_seopress_social_fb_desc":"","_seopress_social_fb_img":"","_seopress_social_fb_img_attachment_id":0,"_seopress_social_fb_img_width":0,"_seopress_social_fb_img_height":0,"_seopress_social_twitter_title":"","_seopress_social_twitter_desc":"","_seopress_social_twitter_img":"","_seopress_social_twitter_img_attachment_id":0,"_seopress_social_twitter_img_width":0,"_seopress_social_twitter_img_height":0,"_seopress_redirections_value":"","_seopress_redirections_enabled":"","_seopress_redirections_enabled_regex":"","_seopress_redirections_logged_status":"","_seopress_redirections_param":"","_seopress_redirections_type":0,"_seopress_analysis_target_kw":"The International System of Units Unit Prefixes \u2013 problems and solutions","_seopress_news_disabled":"","_seopress_video_disabled":"","_seopress_video":[],"_seopress_pro_schemas_manual":[],"_seopress_pro_rich_snippets_disable_all":"","_seopress_pro_rich_snippets_disable":[],"_seopress_pro_schemas":[],"footnotes":""},"categories":[3],"tags":[],"class_list":["post-3171","post","type-post","status-publish","format-standard","hentry","category-solved-problems-in-basic-physics"],"gt_translate_keys":[{"key":"link","format":"url"}],"_links":{"self":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3171","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/comments?post=3171"}],"version-history":[{"count":0,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/posts\/3171\/revisions"}],"wp:attachment":[{"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/media?parent=3171"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/categories?post=3171"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gurumuda.net\/physics\/wp-json\/wp\/v2\/tags?post=3171"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}