{"id":561,"date":"2019-08-12T16:30:30","date_gmt":"2019-08-12T11:00:30","guid":{"rendered":"https:\/\/www.physicsacademyonline.com\/blog\/?p=561"},"modified":"2021-02-25T14:01:50","modified_gmt":"2021-02-25T08:31:50","slug":"solve-jee-main-2017-with-a-smile-iv","status":"publish","type":"post","link":"https:\/\/www.physicsacademyonline.com\/blog\/jee-main\/solve-jee-main-2017-with-a-smile-iv.html","title":{"rendered":"SOLVE JEE (MAIN) 2017 WITH A SMILE \u2013 IV"},"content":{"rendered":"<h3 style=\"font-size: 1.20em; font-weight: normal !important;\"><i>Let <em><del>Us<\/del> <\/em><\/i><span style=\"font-family: impact; letter-spacing: 1.5px; font-size: 24px; color: #000;\">YOU<\/span><i> Solve Physics JEE (MAIN) 2017 Physics Paper<\/i><\/h3>\n<p>We shall guide you to solve few more Physics questions from JEE (Main) 2017, Paper-1. All students at + 2 level, who wish to pursue B.E. \/B. Tech courses in Indian Engineering Institutes, must secure good ranks in JEE (Main). So it&#8217;s a good idea you learnt to connect the questions to the relevant theories, study them <em>with absolute clarity<\/em> from the video lectures\u00a0 @ <a href=\"https:\/\/www.physicsacademyonline.com\" target=\"_blank\" rel=\"noopener\">PhysicsAcademyOnline.com<\/a>, and apply them to solve the questions. This way, if a close contact is purposefully maintained between questions and theories, the study of Physics becomes enjoyable and stress-free. Needless to say, more practice leads you to more lectures at both basic and advanced levels. In turn they make you more self-reliant and fighting fit for the Competitive Exams ahead. And you can always check your own solution against our video solution given at the end of every question.<\/p>\n<p><strong><u>Question 09<\/u>:<\/strong>\u00a0 An external pressure P is applied to a cube at 0\u00b0C, so that it is equally compressed from all sides. K is the bulk modulus of the material of the cube and <em>\u00a0\u03b1<\/em>\u00a0 is its coefficient of linear expansion. Suppose we want to bring the cube to its original size by heating. The temperature should be raised by:<\/p>\n<p>(1) P\/3<em>\u03b1<\/em>K\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a0 (2) P\/<em>\u03b1<\/em>K\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0 \u00a0 (3) 3<em>\u03b1<\/em> \/PK\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0 \u00a0 \u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0 (4) 3PK<em>\u03b1<\/em><\/p>\n<p>Of the various options, which has\/have the same dimension as temperature? subscribe to <a href=\"https:\/\/www.physicsacademyonline.com\" target=\"_blank\" rel=\"noopener\">PhysicsAcademyOnline.com<\/a>, and learn the technique here:\u00a0<em><span style=\"color: #8270a4;\"> Chapter Name \u2013 Mechanics; Category \u2013\u00a0 Basic; Topic Name \u2013 Physical Quantities and Their Measurement; Video Name \u2013 Uses of Dimensional Analysis.<\/span><\/em><\/p>\n<p>Still, you have to choose between two options. What is the relation between the coefficients of volume and linear expansion? Discussed here:\u00a0<em><span style=\"color: #8270a4;\"> Chapter Name \u2013 Heat and Thermodynamics; Category \u2013\u00a0 Basic; Topic Name \u2013 Thermal Expansion; Video Name \u2013 Thermal Expansion of Solids.<\/span><\/em><\/p>\n<p>Now, you can easily guess the correct option. That was a shortcut. Another method is discussed below.<\/p>\n<p>What is the change in volume of the cube under pressure? Formula here:\u00a0<em><span style=\"color: #8270a4;\"> Chapter Name \u2013 Elasticity and Fluid Mechanics; Category \u2013\u00a0 Basic; Topic Name \u2013 Elasticity; Video Name \u2013 Bulk Modulus &amp; Relations among Elastic Constants.<\/span><\/em><\/p>\n<p>What is the required change in volume of the cube by heating? How do you express it in terms of coefficient of linear expansion, <em>a<\/em> , and temperature rise? Discussed in the same lecture titled &#8220;Thermal Expansion of Solids&#8221;.<\/p>\n<p>You are close to the answer.<\/p>\n<p><iframe loading=\"lazy\" width=\"740\" height=\"416\" src=\"https:\/\/www.youtube.com\/embed\/Pbo742wFdzo?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>&nbsp;<\/p>\n<p><strong><u>Question 11<\/u>:<\/strong>\u00a0 The temperature of an open room of volume 30 m<sup>3\u00a0 <\/sup>increases from 17\u00b0C to 27\u00b0C due to sunshine. The atmospheric pressure in the room remains 1 x 10<sup>5\u00a0 <\/sup>Pa. If N<sub>i<\/sub> and N<sub>f<\/sub> are the numbers of gas molecules in the room before and after heating, then (N<sub>f<\/sub> \u2013 N<sub>i<\/sub>) will be:<\/p>\n<p>(1) -1.61 x 10<sup>23<\/sup> \u00a0\u00a0\u00a0\u00a0 \u00a0 \u00a0\u00a0 (2) 1.38 x 10<sup>23<\/sup> \u00a0 \u00a0\u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 (3) 2.5 x 10<sup>25<\/sup> \u00a0 \u00a0 \u00a0\u00a0\u00a0\u00a0\u00a0 (4) -2.5 x 10<sup>25<\/sup><\/p>\n<p>What is the number of moles, n, present in a given volume of a gas at given temperature and pressure? Can be found here:\u00a0\u00a0<span style=\"color: #8270a4;\">\u00a0<em> Chapter Name \u2013 Heat and Thermodynamics; Category \u2013\u00a0 Basic; Topic Name \u2013 Thermal Expansion; Video Name \u2013 Expansion of Gases II.<\/em><\/span><\/p>\n<p>You can already predict whether (N<sub>f<\/sub> \u2013 N<sub>i<\/sub>) is positive or negative. But although that narrows your search, you still require to calculate its numerical value. What is the change in number of moles, (n<sub>f<\/sub> \u2013 n<sub>i<\/sub>), due to heating? What is the change in number of molecules, (N<sub>f<\/sub> \u2013 N<sub>i<\/sub>), due to heating? It&#8217;s convenient to write in symbols first, and put data in the last step.<\/p>\n<p>Interested readers are welcome to see similar problems in:\u00a0\u00a0<em><span style=\"color: #8270a4;\">Chapter Name \u2013 Heat and Thermodynamics; Category \u2013\u00a0 Basic; Topic Name \u2013 Thermal Expansion; Video Name \u2013 Problems on Expansion of Gases.<\/span><\/em><\/p>\n<p>&nbsp;<\/p>\n<p><iframe loading=\"lazy\" width=\"740\" height=\"416\" src=\"https:\/\/www.youtube.com\/embed\/y9dLMW2ADNE?feature=oembed\" frameborder=\"0\" allow=\"accelerometer; autoplay; encrypted-media; gyroscope; picture-in-picture\" allowfullscreen><\/iframe><\/p>\n<p>&nbsp;<\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Let Us YOU Solve Physics JEE (MAIN) 2017 Physics Paper We shall guide you to solve few more Physics questions from JEE (Main) 2017, Paper-1. All students at + 2&#8230;<\/p>\n","protected":false},"author":3,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[13,26],"tags":[],"_links":{"self":[{"href":"https:\/\/www.physicsacademyonline.com\/blog\/wp-json\/wp\/v2\/posts\/561"}],"collection":[{"href":"https:\/\/www.physicsacademyonline.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.physicsacademyonline.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.physicsacademyonline.com\/blog\/wp-json\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/www.physicsacademyonline.com\/blog\/wp-json\/wp\/v2\/comments?post=561"}],"version-history":[{"count":16,"href":"https:\/\/www.physicsacademyonline.com\/blog\/wp-json\/wp\/v2\/posts\/561\/revisions"}],"predecessor-version":[{"id":708,"href":"https:\/\/www.physicsacademyonline.com\/blog\/wp-json\/wp\/v2\/posts\/561\/revisions\/708"}],"wp:attachment":[{"href":"https:\/\/www.physicsacademyonline.com\/blog\/wp-json\/wp\/v2\/media?parent=561"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.physicsacademyonline.com\/blog\/wp-json\/wp\/v2\/categories?post=561"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.physicsacademyonline.com\/blog\/wp-json\/wp\/v2\/tags?post=561"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}