{"id":4570,"date":"2016-05-17T09:49:00","date_gmt":"2016-05-17T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-physics-kinetic-theory\/"},"modified":"2018-10-22T17:58:54","modified_gmt":"2018-10-22T12:28:54","slug":"ncert-solutions-for-class-11-physics-kinetic-theory","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-physics-kinetic-theory\/","title":{"rendered":"NCERT Solutions For Class 11 physics Kinetic Theory"},"content":{"rendered":"<div id=\"ez-toc-container\" class=\"ez-toc-v2_0_76 counter-hierarchy ez-toc-counter ez-toc-grey ez-toc-container-direction\">\n<div class=\"ez-toc-title-container\">\n<p class=\"ez-toc-title\" style=\"cursor:inherit\">Table of Contents<\/p>\n<span class=\"ez-toc-title-toggle\"><a href=\"#\" class=\"ez-toc-pull-right ez-toc-btn ez-toc-btn-xs ez-toc-btn-default ez-toc-toggle\" aria-label=\"Toggle Table of Content\"><span class=\"ez-toc-js-icon-con\"><span class=\"\"><span class=\"eztoc-hide\" style=\"display:none;\">Toggle<\/span><span class=\"ez-toc-icon-toggle-span\"><svg style=\"fill: #999;color:#999\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" class=\"list-377408\" width=\"20px\" height=\"20px\" viewBox=\"0 0 24 24\" fill=\"none\"><path d=\"M6 6H4v2h2V6zm14 0H8v2h12V6zM4 11h2v2H4v-2zm16 0H8v2h12v-2zM4 16h2v2H4v-2zm16 0H8v2h12v-2z\" fill=\"currentColor\"><\/path><\/svg><svg style=\"fill: #999;color:#999\" class=\"arrow-unsorted-368013\" xmlns=\"http:\/\/www.w3.org\/2000\/svg\" width=\"10px\" height=\"10px\" viewBox=\"0 0 24 24\" version=\"1.2\" baseProfile=\"tiny\"><path d=\"M18.2 9.3l-6.2-6.3-6.2 6.3c-.2.2-.3.4-.3.7s.1.5.3.7c.2.2.4.3.7.3h11c.3 0 .5-.1.7-.3.2-.2.3-.5.3-.7s-.1-.5-.3-.7zM5.8 14.7l6.2 6.3 6.2-6.3c.2-.2.3-.5.3-.7s-.1-.5-.3-.7c-.2-.2-.4-.3-.7-.3h-11c-.3 0-.5.1-.7.3-.2.2-.3.5-.3.7s.1.5.3.7z\"\/><\/svg><\/span><\/span><\/span><\/a><\/span><\/div>\n<nav><ul class='ez-toc-list ez-toc-list-level-1 eztoc-toggle-hide-by-default' ><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-1\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-physics-kinetic-theory\/#NCERT_Class_11_Physics_Chapter_wise_Solutions\" >NCERT Class 11\u00a0Physics Chapter wise Solutions<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-2\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-physics-kinetic-theory\/#CHAPTER_13_KINETIC_THEORY\" >CHAPTER 13 KINETIC THEORY<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-3\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-physics-kinetic-theory\/#NCERT_Solutions_For_Class_11_physics_Kinetic_Theory\" >NCERT Solutions For Class 11 physics Kinetic Theory<\/a><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><ul class='ez-toc-list-level-6' ><li class='ez-toc-heading-level-6'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-physics-kinetic-theory\/#3_Figure_138_shows_plot_of_PVT_versus_Poor_kg_of_oxygen_gas_at_two_different_temperatures\" >3. Figure 13.8 shows plot of PV\/T versus Poor kg of oxygen gas at two different temperatures.<\/a><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><\/ul><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-physics-kinetic-theory\/#NCERT_Solutions_for_Class_11_Physics\" >NCERT Solutions for Class 11 Physics<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-6\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-physics-kinetic-theory\/#CBSE_app_for_Class_11\" >CBSE app for Class 11<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions For Class 11 physics Kinetic Theory Class 11 Physics Class book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class 11 Physics chapter wise NCERT solution for Physics part 1 and Physics part 2 for all the chapters can be downloaded from our website and myCBSEguide mobile app for free.<\/p>\n<p style=\"text-align: center;\"><strong>Download\u00a0<a href=\"https:\/\/mycbseguide.com\/downloads\/cbse-class-11-physics\/1340\/ncert-solutions\/5\/\">NCERT solutions for\u00a0 Kinetic Theory\u00a0<\/a>as PDF.<\/strong><\/p>\n<p><img loading=\"lazy\" decoding=\"async\" class=\"alignright\" src=\"https:\/\/media-mycbseguide.s3.ap-south-1.amazonaws.com\/images\/blog\/11%20physics%20Book%201.jpg\" alt=\"NCERT Solutions For Class 11 physics Kinetic Theory\" width=\"128\" height=\"169\" \/><\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Class_11_Physics_Chapter_wise_Solutions\"><\/span>NCERT Class 11\u00a0Physics Chapter wise Solutions<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>1 \u2013 Physical World<\/li>\n<li>2 \u2013 Units and Measurements<\/li>\n<li>3 \u2013 Motion in a Straight line<\/li>\n<li>4 \u2013 Motion in a Plane<\/li>\n<li>5 \u2013 Laws of Motion<\/li>\n<li>6 \u2013 Work, Energy and Power<\/li>\n<li>7 \u2013 System of Particles and Rotational motion<\/li>\n<li>8 \u2013 Gravitation<\/li>\n<li>9 \u2013 Mechanical Properties of Solids<\/li>\n<li>10 \u2013 Mechanical properties of fluids<\/li>\n<li>11 \u2013 Thermal Properties of matter<\/li>\n<li>12 \u2013 Thermodynamics<\/li>\n<li>13 \u2013 Kinetic Theory<\/li>\n<li>14 \u2013 Oscillations<\/li>\n<li>15 \u2013 Waves<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"CHAPTER_13_KINETIC_THEORY\"><\/span>CHAPTER 13 KINETIC THEORY<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>13.1 Introduction<\/li>\n<li>13.2 Molecular nature of matter<\/li>\n<li>13.3 Behaviour of gases<\/li>\n<li>13.4 Kinetic theory of an ideal gas<\/li>\n<li>13.5 Law of equipartition of energy<\/li>\n<li>13.6 Specific heat capacity<\/li>\n<li>13.7 Mean free path<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_For_Class_11_physics_Kinetic_Theory\"><\/span>NCERT Solutions For Class 11 physics Kinetic Theory<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: justify;\">1. Estimate the fraction of molecular volume to the actual volume occupied by oxygen gas at STP. Take the diameter of an oxygen molecule to be<img decoding=\"async\" style=\"height: 29px; width: 25px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image001.png\" \/>.<\/p>\n<p style=\"text-align: justify;\">2. Molar volume is the volume occupied by 1 mol of any (ideal) gas at standard temperature and pressure (STP: 1 atmospheric pressure, 0 \u00b0C). Show that it is 22.4 liters.<\/p>\n<h6 style=\"text-align: justify;\"><span class=\"ez-toc-section\" id=\"3_Figure_138_shows_plot_of_PVT_versus_Poor_kg_of_oxygen_gas_at_two_different_temperatures\"><\/span>3. Figure 13.8 shows plot of <em>PV<\/em>\/<em>T<\/em> versus Poor <img decoding=\"async\" style=\"height: 22px; width: 69px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image016.png\" \/>kg of oxygen gas at two different temperatures.<span class=\"ez-toc-section-end\"><\/span><\/h6>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 7\" style=\"height: 106px; width: 184px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image017.jpg\" alt=\"14159833329897.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">(a) What does the dotted plot signify?<\/p>\n<p style=\"text-align: justify;\">(b) Which is true:<img decoding=\"async\" style=\"height: 24px; width: 104px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image018.png\" \/>?<\/p>\n<p style=\"text-align: justify;\">(c) What is the value of <em>PV<\/em>\/<em>T<\/em> where the curves meet on the <em>y-<\/em>axis?<\/p>\n<p style=\"text-align: justify;\">(d) If we obtained similar plots for <img decoding=\"async\" style=\"height: 22px; width: 69px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image016.png\" \/>kg of hydrogen, would we get the same value of <em>PV<\/em>\/<em>T<\/em> at the point where the curves meet on the <em>y<\/em>-axis? If not, what mass of hydrogen yields the same value of <em>PV<\/em>\/<em>T<\/em> (for low pressure high temperature region of the plot)? (Molecular mass of <img decoding=\"async\" style=\"height: 24px; width: 78px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image019.png\" \/>u, of O2= 32.0 u, <em>R<\/em> =<img decoding=\"async\" style=\"height: 22px; width: 114px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image020.png\" \/>.)<\/p>\n<p style=\"text-align: justify;\">4. An oxygen cylinder of volume 30 litres has an initial gauge pressure of 15 atm and a temperature of 27 \u00b0C. After some oxygen is withdrawn from the cylinder, the gauge pressure drops to 11 atm and its temperature drops to 17 \u00b0C. Estimate the mass of oxygen taken out of the cylinder (<em>R<\/em> = 8.31 J<img decoding=\"async\" style=\"height: 22px; width: 71px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image040.png\" \/>, molecular mass of <img decoding=\"async\" style=\"height: 24px; width: 23px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image041.png\" \/>= 32 u).<\/p>\n<p style=\"text-align: justify;\">5. An air bubble of volume 1.0 cm3rises from the bottom of a lake 40 m deep at a temperature of 12 \u00b0C. To what volume does it grow when it reaches the surface, which is at a temperature of 35 \u00b0C?<\/p>\n<p style=\"text-align: justify;\">6. Estimate the total number of air molecules (inclusive of oxygen, nitrogen, water vapour and other constituents) in a room of capacity 25.0 <img decoding=\"async\" style=\"height: 20px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image074.png\" \/>at a temperature of 27 \u00b0C and 1 atm pressure.<\/p>\n<p style=\"text-align: justify;\">7. Estimate the average thermal energy of a helium atom at (i) room temperature (27 \u00b0C), (ii) the temperature on the surface of the Sun (6000 K), (iii) the temperature of 10 million Kelvin (the typical core temperature in the case of a star).<\/p>\n<p style=\"text-align: justify;\">8. Three vessels of equal capacity have gases at the same temperature and pressure. The first vessel contains neon (monatomic), the second contains chlorine (diatomic), and the third contains uranium hexafluoride (polyatomic). Do the vessels contain equal number of respective molecules? Is the root mean square speed of molecules the same in the three cases? If not, in which case is the largest?<\/p>\n<p style=\"text-align: justify;\">9. At what temperature is the root mean square speed of an atom in an argon gas cylinder equal to the rms speed of a helium gas atom at &#8211; 20 \u00b0C? (atomic mass of Ar = 39.9 u, of He = 4.0 u).<\/p>\n<p style=\"text-align: justify;\">10. Estimate the mean free path and collision frequency of a nitrogen molecule in a cylinder containing nitrogen at 2.0 atm and temperature 17 \u00b0C. Take the radius of a nitrogen molecule to be roughly 1.0<img decoding=\"async\" style=\"height: 28px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image003.png\" \/>. Compare the collision time with the time the molecule moves freely between two successive collisions (Molecular mass of<img decoding=\"async\" style=\"height: 24px; width: 81px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image109.png\" \/>).<\/p>\n<p style=\"text-align: justify;\">11. A metre long narrow bore held horizontally (and closed at one end) contains a 76 cm long mercury thread, which traps a 15 cm column of air. What happens if the tube is held vertically with the open end at the bottom?<\/p>\n<p style=\"text-align: justify;\">12. From a certain apparatus, the diffusion rate of hydrogen has an average value of 28.7 cm3<img decoding=\"async\" style=\"height: 21px; width: 21px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image137.png\" \/>. The diffusion of another gas under the same conditions is measured to have an average rate of<img decoding=\"async\" style=\"height: 21px; width: 72px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image138.png\" \/>. Identify the gas.<\/p>\n<p style=\"text-align: justify;\">[Hint: Use Graham&#8217;s law of diffusion:<img decoding=\"async\" style=\"height: 29px; width: 148px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image139.png\" \/>, where <img decoding=\"async\" style=\"height: 24px; width: 51px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image140.png\" \/>are diffusion rates of gases 1 and 2, and<img decoding=\"async\" style=\"height: 25px; width: 80px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image141.png\" \/>their respective molecular masses. The law is a simple consequence of kinetic theory.]\n<p style=\"text-align: justify;\">13. A gas in equilibrium has uniform density and pressure throughout its volume. This is strictly true only if there are no external influences. A gas column under gravity, for example, does not have uniform density (and pressure). As you might expect, its density decreases with height. The precise dependence is given by the so-called law of atmospheres<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 212px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image149.png\" \/><\/p>\n<p style=\"text-align: justify;\">Where <img decoding=\"async\" style=\"height: 24px; width: 36px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image150.png\" \/>refer to number density at heights <img decoding=\"async\" style=\"height: 24px; width: 60px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image151.png\" \/>respectively. Use this relation to derive the equation for sedimentation equilibrium of a suspension in a liquid column:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 29px; width: 328px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image152.png\" \/><\/p>\n<p style=\"text-align: justify;\">Where <img decoding=\"async\" style=\"height: 17px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image153.png\" \/> is the density of the suspended particle, and <img decoding=\"async\" style=\"height: 17px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image153.png\" \/>&#8216; that of surrounding medium. [<img decoding=\"async\" style=\"height: 24px; width: 24px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image154.png\" \/>is Avogadro&#8217;s number, and <em>R<\/em> the universal gas constant.] [Hint: Use Archimedes principle to find the apparent<\/p>\n<p style=\"text-align: justify;\">14. Given below are densities of some solids and liquids. Give rough estimates of the size of their atoms:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 2\" style=\"height: 160px; width: 438px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image164.png\" \/><\/p>\n<p style=\"text-align: justify;\">[Hint: Assume the atoms to be <img decoding=\"async\" style=\"height: 21px; width: 112px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image165.png\" \/>in a solid or liquid phase, and use the known value of Avogadro&#8217;s number. You should, however, not take the actual numbers you obtain for various atomic sizes too literally. Because of the crudeness of the tight packing approximation, the results only indicate that atomic sizes are in the range of a few<img decoding=\"async\" style=\"height: 28px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch12\/image003.png\" \/>].<\/p>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_for_Class_11_Physics\"><\/span>NCERT Solutions for Class 11 Physics<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>NCERT Solutions Class 11 Physics PDF (Download) Free from myCBSEguide app and myCBSEguide website. Ncert solution class 11 physics includes text book solutions from both part 1 and part 2. NCERT Solutions for CBSE Class 11 Physics have total 15 chapters. 11 Physics NCERT Solutions in PDF for free Download on our website. Ncert physics class 11 solutions PDF and physics ncert class 11 PDF solutions with latest modifications and as per the latest CBSE syllabus are only available in myCBSEguide<\/p>\n<h2><span class=\"ez-toc-section\" id=\"CBSE_app_for_Class_11\"><\/span>CBSE app for Class 11<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p>To download\u00a0NCERT Solutions for class 11 Physics, Chemistry, Biology, History, Political Science, Economics, Geography, Computer Science, Home Science, Accountancy, Business Studies and Home Science; do check myCBSEguide app or website. myCBSEguide provides sample papers with solution, test papers for chapter-wise practice, NCERT solutions, NCERT Exemplar solutions, quick revision notes for ready reference, CBSE guess papers and CBSE important question papers. Sample Paper all are made available through\u00a0<a href=\"https:\/\/play.google.com\/store\/apps\/details?id=in.techchefs.MyCBSEGuide&amp;referrer=utm_source%3Dmycbse_bottom%26utm_medium%3Dtext%26utm_campaign%3Dmycbseads\"><strong>the best app for CBSE students<\/strong><\/a>\u00a0and myCBSEguide website.<\/p>\n","protected":false},"excerpt":{"rendered":"<p>NCERT Solutions For Class 11 physics Kinetic Theory Class 11 Physics Class book solutions are available in PDF format for free download. These ncert book chapter wise questions and answers are very helpful for CBSE exam. CBSE recommends NCERT books and most of the questions in CBSE exam are asked from NCERT text books. Class &#8230; <a title=\"NCERT Solutions For Class 11 physics Kinetic Theory\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-physics-kinetic-theory\/\" aria-label=\"More on NCERT Solutions For Class 11 physics Kinetic Theory\">Read more<\/a><\/p>\n","protected":false},"author":1,"featured_media":-1,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[281,1470],"tags":[283,1449,216,319],"class_list":["post-4570","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ncert-solutions","category-physics-class-12","tag-cbse-study-material","tag-class-11","tag-ncert-solutions","tag-physics"],"yoast_head":"<!-- This site is optimized with the Yoast SEO plugin v26.0 - https:\/\/yoast.com\/wordpress\/plugins\/seo\/ -->\n<title>NCERT Solutions For Class 11 physics Kinetic Theory<\/title>\n<meta name=\"description\" content=\"NCERT Solutions For Class 11 physics Kinetic Theory in PDF format for free download. 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