{"id":4571,"date":"2016-05-17T09:49:00","date_gmt":"2016-05-17T04:19:00","guid":{"rendered":"http:\/\/mycbseguide.com\/blog\/ncert-solutions-class-11-physics-oscilations\/"},"modified":"2018-10-22T17:21:30","modified_gmt":"2018-10-22T11:51:30","slug":"ncert-solutions-for-class-11-physics-oscillations","status":"publish","type":"post","link":"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-physics-oscillations\/","title":{"rendered":"NCERT Solutions For Class 11 Physics Oscillations"},"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-oscillations\/#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-oscillations\/#CHAPTER_14_OSCILLATIONS\" >CHAPTER 14 OSCILLATIONS<\/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-oscillations\/#NCERT_Solutions_For_Class_11_Physics_Oscillations\" >NCERT Solutions For Class 11 Physics Oscillations<\/a><\/li><li class='ez-toc-page-1 ez-toc-heading-level-2'><a class=\"ez-toc-link ez-toc-heading-4\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-physics-oscillations\/#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-5\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-physics-oscillations\/#CBSE_app_for_Class_11\" >CBSE app for Class 11<\/a><\/li><\/ul><\/nav><\/div>\n<p>NCERT Solutions For Class 11 Physics Oscillations 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\u00a0Oscillations\u00a0<\/a>\u00a0as 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 Oscillations\" width=\"113\" height=\"149\" \/><\/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_14_OSCILLATIONS\"><\/span>CHAPTER 14 OSCILLATIONS<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<ul>\n<li>14.1 Introduction<\/li>\n<li>14.2 Periodic and oscilatory motions<\/li>\n<li>14.3 Simple harmonic motion<\/li>\n<li>14.4 Simple harmonic motion and uniform circular motion<\/li>\n<li>14.5 Velocity and acceleration in simple harmonic motion<\/li>\n<li>14.6 Force law for simple harmonic motion<\/li>\n<li>14.7 Energy in simple harmonic motion<\/li>\n<li>14.8 Some systems executing SHM<\/li>\n<li>14.9 Damped simple harmonic motion<\/li>\n<li>14.10 Forced oscillations and resonance<\/li>\n<\/ul>\n<h2><span class=\"ez-toc-section\" id=\"NCERT_Solutions_For_Class_11_Physics_Oscillations\"><\/span>NCERT Solutions For Class 11 Physics Oscillations<span class=\"ez-toc-section-end\"><\/span><\/h2>\n<p style=\"text-align: justify;\">1. Which of the following examples represent periodic motion?<\/p>\n<p style=\"text-align: justify;\">(a) A swimmer completing one (return) trip from one bank of a river to the other and back.<\/p>\n<p style=\"text-align: justify;\">(b) A freely suspended bar magnet displaced from its N-S direction and released.<\/p>\n<p style=\"text-align: justify;\">(c) A hydrogen molecule rotating about its center of mass.<\/p>\n<p style=\"text-align: justify;\">(d) An arrow released from a bow.<\/p>\n<p style=\"text-align: justify;\">2. Which of the following examples represent (nearly) simple harmonic motion and which represent periodic but not simple harmonic motion?<\/p>\n<p style=\"text-align: justify;\">(a) the rotation of earth about its axis.<\/p>\n<p style=\"text-align: justify;\">(b) motion of an oscillating mercury column in a U-tube.<\/p>\n<p style=\"text-align: justify;\">(c) motion of a ball bearing inside a smooth curved bowl, when released from a point slightly above the lower most point.<\/p>\n<p style=\"text-align: justify;\">(d) general vibrations of a polyatomic molecule about its equilibrium position.<\/p>\n<p style=\"text-align: justify;\">3. Figure 14.27 depicts four <em>x-t<\/em> plots for linear motion of a particle. Which of the plots represent periodic motion? What is the period of motion (in case of periodic motion)?<\/p>\n<p style=\"text-align: justify;\">(a)<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 100px; width: 194px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image001.jpg\" alt=\"14159836048413.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">(b)<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 2\" style=\"height: 111px; width: 206px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image002.jpg\" alt=\"14159836054798.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">(c)<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 3\" style=\"height: 108px; width: 279px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image003.jpg\" alt=\"14159836081203.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">(d)<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 4\" style=\"height: 103px; width: 282px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image004.jpg\" alt=\"14159836089017.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">4. Which of the following functions of time represent (a) simple harmonic, (b) periodic but not simple harmonic, and (c) non-periodic motion? Give period for each case of periodic motion (<img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image005.png\" \/> is any positive constant):<\/p>\n<p style=\"text-align: justify;\">(a) <img decoding=\"async\" style=\"height: 22px; width: 100px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image006.png\" \/><\/p>\n<p style=\"text-align: justify;\">(b) <img decoding=\"async\" style=\"height: 22px; width: 47px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image007.png\" \/><\/p>\n<p style=\"text-align: justify;\">(c) 3 cos (\u03c0\/4 &#8211; 2<img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image005.png\" \/><em>t<\/em>)<\/p>\n<p style=\"text-align: justify;\">(d) cos <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image005.png\" \/><em>t<\/em> + cos 3<img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image005.png\" \/><em>t<\/em> + cos 5<img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image005.png\" \/><em>t<\/em><\/p>\n<p style=\"text-align: justify;\">(e) exp <img decoding=\"async\" style=\"height: 24px; width: 53px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image008.png\" \/><\/p>\n<p style=\"text-align: justify;\">(f) 1 + <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image005.png\" \/><em>t<\/em> + <img decoding=\"async\" style=\"height: 22px; width: 32px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image009.png\" \/><\/p>\n<p style=\"text-align: justify;\">5. A particle is in linear simple harmonic motion between two points, A and B, 10 cm apart. Take the direction from A to B as the positive direction and give the signs of velocity, acceleration and force on the particle when it is<\/p>\n<p style=\"text-align: justify;\">(a) at the end A,<\/p>\n<p style=\"text-align: justify;\">(b) at the end B,<\/p>\n<p style=\"text-align: justify;\">(c) at the mid-point of AB going towards A,<\/p>\n<p style=\"text-align: justify;\">(d) at 2 cm away from B going towards A,<\/p>\n<p style=\"text-align: justify;\">(e) at 3 cm away from A going towards B, and<\/p>\n<p style=\"text-align: justify;\">(f) at 4 cm away from B going towards A.<\/p>\n<p style=\"text-align: justify;\">6. Which of the following relationships between the acceleration <em>a<\/em> and the displacement <em>x<\/em> of a particle involve simple harmonic motion?<\/p>\n<p style=\"text-align: justify;\">(a) <em>a<\/em> = 0.7<em>x<\/em><\/p>\n<p style=\"text-align: justify;\">(b) <em>a<\/em> = -200<img decoding=\"async\" style=\"height: 22px; width: 18px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image022.png\" \/><\/p>\n<p style=\"text-align: justify;\">(c) <em>a<\/em> = -10<em>x<\/em><\/p>\n<p style=\"text-align: justify;\">(d) <em>a<\/em> = 100<img decoding=\"async\" style=\"height: 22px; width: 18px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image023.png\" \/><\/p>\n<p style=\"text-align: justify;\">7. The motion of a particle executing simple harmonic motion is described by the displacement function,<\/p>\n<p style=\"text-align: justify;\"><em>x<\/em> (<em>t<\/em>) = <em>A<\/em> cos (<img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image005.png\" \/><em>t<\/em> +<img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image005.png\" \/> ).<\/p>\n<p style=\"text-align: justify;\">If the initial (<em>t<\/em> = 0) position of the particle is 1 cm and its initial velocity is <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image005.png\" \/> cm\/s, what are its amplitude and initial phase angle? The angular frequency of the particle is \u03c0 s-1. If instead of the cosine function, we choose the sine function to describe the SHM: <em>x = B sin<\/em> (<img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image005.png\" \/><em>t<\/em> + \u03b1), what are the amplitude and initial phase of the particle with the above initial conditions.<\/p>\n<p style=\"text-align: justify;\">8. A spring balance has a scale that reads from 0 to 50 kg. The length of the scale is 20 cm. A body suspended from this balance, when displaced and released, oscillates with a period of 0.6 s. What is the weight of the body?<\/p>\n<p style=\"text-align: justify;\">9. A spring having with a spring constant 1200 N <img decoding=\"async\" style=\"height: 20px; width: 28px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image055.png\" \/>is mounted on a horizontal table as shown in Fig. A mass of 3 kg is attached to the free end of the spring. The mass is then pulled sideways to a distance of 2.0 cm and released.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 32\" style=\"height: 94px; width: 190px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image056.jpg\" alt=\"1415983672455.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">Determine (i) the frequency of oscillations, (ii) maximum acceleration of the mass, and (iii) the maximum speed of the mass.<\/p>\n<p style=\"text-align: justify;\">10. In Exercise 14.9, let us take the position of mass when the spring is unstreched as <em>x =<\/em> 0, and the direction from left to right as the positive direction of <em>x<\/em>-axis. Give <em>x<\/em> as a function of time t for the oscillating mass if at the moment we start the stopwatch (<em>t<\/em> = 0), the mass is<\/p>\n<p style=\"text-align: justify;\">(a) at the mean position,<\/p>\n<p style=\"text-align: justify;\">(b) at the maximum stretched position, and<\/p>\n<p style=\"text-align: justify;\">(c) at the maximum compressed position.<\/p>\n<p style=\"text-align: justify;\">In what way do these functions for SHM differ from each other, in frequency, in amplitude or the initial phase?<\/p>\n<p style=\"text-align: justify;\">11. Figures 14.29 correspond to two circular motions. The radius of the circle, the period of revolution, the initial position, and the sense of revolution (i.e. clockwise or anti-clockwise) are indicated on each figure.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 48\" style=\"height: 142px; width: 302px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image075.jpg\" alt=\"14159836903201.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">Obtain the corresponding simple harmonic motions of the <em>x<\/em>-projection of the radius vector of the revolving particle P, in each case.<\/p>\n<p style=\"text-align: justify;\">12. Plot the corresponding reference circle for each of the following simple harmonic motions. Indicate the initial (<em>t<\/em> = 0) position of the particle, the radius of the circle, and the angular speed of the rotating particle. For simplicity, the sense of rotation may be fixed to be anticlockwise in every case: (<em>x<\/em> is in cm and <em>t<\/em> is in <em>s<\/em>).<\/p>\n<p style=\"text-align: justify;\">(a) <em>x<\/em> = -2 sin (3<em>t<\/em> + \u03c0\/3)<\/p>\n<p style=\"text-align: justify;\">(b) <em>x<\/em> = cos (\u03c0\/6 &#8211; <em>t<\/em>)<\/p>\n<p style=\"text-align: justify;\">(c) <em>x<\/em> = 3 sin (2\u03c0<em>t<\/em> + \u03c0\/4)<\/p>\n<p style=\"text-align: justify;\">(d) <em>x<\/em> = 2 cos \u03c0<em>t<\/em><\/p>\n<p style=\"text-align: justify;\">13. Figure 14.30 (a) shows a spring of force constant <em>k<\/em> clamped rigidly at one end and a mass <em>m<\/em> attached to its free end. A force <em>F<\/em> applied at the free end stretches the spring. Figure 14.30 (b) shows the same spring with both ends free and attached to a mass <em>m<\/em> at either end. Each end of the spring in Fig. 14.30(b) is stretched by the same force <em>F<\/em>.<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" id=\"Picture 75\" style=\"height: 115px; width: 426px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image099.jpg\" alt=\"1415983715428.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">(a) What is the maximum extension of the spring in the two cases?<\/p>\n<p style=\"text-align: justify;\">(b) If the mass in Fig. (a) and the two masses in Fig. (b) are released, what is the period of oscillation in each case?<\/p>\n<p style=\"text-align: justify;\">14. The piston in the cylinder head of a locomotive has a stroke (twice the amplitude) of 1.0 m. If the piston moves with simple harmonic motion with an angular frequency of 200 rad\/min, what is its maximum speed?<\/p>\n<p style=\"text-align: justify;\">15. The acceleration due to gravity on the surface of moon is 1.7<img decoding=\"async\" style=\"height: 22px; width: 35px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image119.png\" \/>. What is the time period of a simple pendulum on the surface of moon if its time period on the surface of earth is 3.5 s? (<em>g<\/em> on the surface of earth is 9.8<img decoding=\"async\" style=\"height: 22px; width: 35px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image119.png\" \/>)<\/p>\n<p style=\"text-align: justify;\">16. Answer the following questions:<\/p>\n<p style=\"text-align: justify;\">(a) Time period of a particle in SHM depends on the force constant <em>k<\/em> and mass <em>m<\/em> of the particle:<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 47px; width: 76px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image053.png\" \/>. A simple pendulum executes SHM approximately. Why then is the time period of a pendulum independent of the mass of the pendulum?<\/p>\n<p style=\"text-align: justify;\">(b) The motion of a simple pendulum is approximately simple harmonic for small angle oscillations. For larger angles of oscillation, a more involved analysis shows that <em>T<\/em> is greater than<img decoding=\"async\" style=\"height: 49px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image127.png\" \/>. Think of a qualitative argument to appreciate this result.<\/p>\n<p style=\"text-align: justify;\">(c) A man with a wristwatch on his hand falls from the top of a tower. Does the watch give correct time during the free fall?<\/p>\n<p style=\"text-align: justify;\">(d) What is the frequency of oscillation of a simple pendulum mounted in a cabin that is freely falling under gravity?<\/p>\n<p style=\"text-align: justify;\">17. A simple pendulum of length <em>l<\/em> and having a bob of mass <em>M<\/em> is suspended in a car. The car is moving on a circular track of radius <em>R<\/em> with a uniform speed <em>v<\/em>. If the pendulum makes small oscillations in a radial direction about its equilibrium position, what will be its time period?<\/p>\n<p style=\"text-align: justify;\">18. Cylindrical piece of cork of density of base area <em>A<\/em> and height <em>h<\/em> floats in a liquid of density<img decoding=\"async\" style=\"height: 24px; width: 18px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image137.png\" \/>. The cork is depressed slightly and then released. Show that the cork oscillates up and down simple harmonically with a period<\/p>\n<p style=\"text-align: justify;\"><img decoding=\"async\" style=\"height: 51px; width: 88px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image138.png\" \/><\/p>\n<p style=\"text-align: justify;\">Where <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image005.png\" \/> is the density of cork. (Ignore damping due to viscosity of the liquid).<\/p>\n<p style=\"text-align: justify;\">19. One end of a U-tube containing mercury is connected to a suction pump and the other end to atmosphere. A small pressure difference is maintained between the two columns. Show that, when the suction pump is removed, the column of mercury in the U-tube executes simple harmonic motion.<\/p>\n<p style=\"text-align: justify;\">20. An air chamber of volume <em>V<\/em> has a neck area of cross section <em>a<\/em> into which a ball of mass <em>m<\/em> just fits and can move up and down without any friction (Fig.14.33). Show that when the ball is pressed down a little and released, it executes SHM. Obtain an expression for the time period of oscillations assuming pressure-volume variations of air to be isothermal [see Fig. 14.33].<\/p>\n<p style=\"text-align: justify;\">21. You are riding in an automobile of mass 3000 kg. Assuming that you are examining the oscillation characteristics of its suspension system. The suspension sags 15 cm when the entire automobile is placed on it. Also, the amplitude of oscillation decreases by 50% during one complete oscillation. Estimate the values of (a) the spring constant <em>k<\/em> and (b) the damping constant <em>b<\/em> for the spring and shock absorber system of one wheel, assuming that each wheel supports 750 kg.<img decoding=\"async\" id=\"Picture 121\" style=\"height: 113px; width: 123px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image147.jpg\" alt=\"14159838959869.jpg\" \/><\/p>\n<p style=\"text-align: justify;\">22. Show that for a particle in linear SHM the average kinetic energy over a period of oscillation equals the average potential energy over the same period.<\/p>\n<p style=\"text-align: justify;\">23. A circular disc of mass 10 kg is suspended by a wire attached to its centre. The wire is twisted by rotating the disc and released. The period of torsional oscillations is found to be 1.5 s. The radius of the disc is 15 cm. Determine the torsional spring constant of the wire. (Torsional spring constant \u03b1 is defined by the relation <em>J<\/em> = -\u03b1 <img decoding=\"async\" style=\"height: 18px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image183.png\" \/><em>\u00b8,<\/em> where <em>J<\/em> is the restoring couple and <img decoding=\"async\" style=\"height: 18px; width: 13px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image183.png\" \/><em>\u00b8<\/em> the angle of twist).<\/p>\n<p style=\"text-align: justify;\">24. A body describes simple harmonic motion with amplitude of 5 cm and a period of 0.2 s. Find the acceleration and velocity of the body when the displacement is (a) 5 cm, (b) 3 cm, (c) 0 cm.<\/p>\n<p style=\"text-align: justify;\">25. A mass attached to a spring is free to oscillate, with angular velocity <img decoding=\"async\" style=\"height: 15px; width: 16px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image209.png\" \/>, in a horizontal plane without friction or damping. It is pulled to a distance <em>x<\/em>0 and pushed towards the centre with a velocity <em>v<\/em>0 at time <em>t<\/em> = 0. Determine the amplitude of the resulting oscillations in terms of the parameters \u00c3\u201d\u00b0, <em>x<\/em>0 and <em>v<\/em>0. [Hint: Start with the equation <em>x<\/em> = <em>a<\/em> cos (<img decoding=\"async\" style=\"height: 22px; width: 48px;\" src=\"https:\/\/media-mycbseguide.s3.amazonaws.com\/images\/static\/ncert\/11\/physics\/ch13\/image210.png\" \/>) and note that the initial velocity is negative.]\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 Oscillations 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 &#8230; <a title=\"NCERT Solutions For Class 11 Physics Oscillations\" class=\"read-more\" href=\"https:\/\/mycbseguide.com\/blog\/ncert-solutions-for-class-11-physics-oscillations\/\" aria-label=\"More on NCERT Solutions For Class 11 Physics Oscillations\">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":[281,1415],"tags":[283,1449,216,319],"class_list":["post-4571","post","type-post","status-publish","format-standard","has-post-thumbnail","hentry","category-ncert-solutions","category-physics","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 Oscillations | myCBSEguide<\/title>\n<meta name=\"description\" content=\"NCERT Solutions For Class 11 Physics Oscillations in PDF format for free download. 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